Hewlett-Packard 27S User Manual

Scaientific

Calculator

Owner’s

Manual

HP-275

[/

5ackaro

-

A

27S

Z.8161
3,564,

5idaro

SCIENTIFIC

8084

2

_Z

4

6

—:Q

1.

Menu

2.

Clear

3.

Enter

4.

Move

5.

Shift

6.

Calculator

7.

Calculator

clear

8.

Available

—

—HGwmD)

---.-­()

P

(4]

D

G

Lo

(=)

CLEAR

DATA

SOLVE

L7j[8][9jt

BASE

D

%

CHG

MEM

7_

8

9

keys
portions
data
through

Key

calculator

OFF
ON;

memory

of

lists

line

memory

()

@

10

ASIN

B

PARTS

(o)

OO

STAT

PROB

SHOW

[3

ACOS

ATAN MAIN

(]

MODES

LAST

9.

Full

10.

Display

11.

Print

12.

Numeric

13.

Applications

14.

Backspace

15.

Previous

16.

MAIN

(i

—1s

E

TIME

)

CONVERT

PRINTER

e

-JJ

precision

format;

calculator

and

menu

display

16

\

12

|

|

|

13

1 1

of

number

modes

line

control

menus

Help

By

takingamoment
understand
them

out.

Us

your

Thank

Help

to

fill

You!

out

needs. Please

you.

this

read

card,

all

you

the

can

help

questions

HP

first,

to

then

better

fill

Model

HP-27S
Name
Address
City,

State,

Age

1.

Whatisyour
101[]Student
102[]Educator,
103[]Professional
104]Middle

2.

Whatisyour

201[Mechanical
202[]Civil
203]Electrical
204]Chemical
205[]Other
206]Surveying
207[]Data
208]Quality

3. In

what

301[]Education
302[]Banking,
303]Insurance
304]Real
305[]Business/Consulting
306]Technical
307[]Software,
308[]Construction,
309[]Mining,

4.

Where

401[]Retail
402[]Office
403]Bookstore
404]Department
406]Catalog

5.

How

501[]PreviousHPOwner
502[]AdviceofFriends,

503]MagazineorNewspaper

504]Press

Date

acquired

Zip

Phone

( )

POSITIONOROCCUPATION?

Researcher

Staff

Manager

AREAOFACTIVITYorFIELDOFWORK/STUDY?

Engineering

Engineering

Engineering

Engineering

Engineering

Processing

Control

INDUSTRYdoyou

Finance,

Investment

Estate

Consulting

Computer

Architectural

Oil

Drilling,

did

your

purchase

did

Computer
Equipment

you

Articles

Store

first

Store

hear

Store

Store

about

Collegues,

HELP

105]Top
106
107[]Field
108[]Technician

work?

Services

Services

Exploration

yourHPcalculator?

US

Manager

[_]

Owner,

Agent,

(SkipifStudentorRetired.

this

model?

Professor

Advertising

HELP

YOQU!

Business

(Please

check

only

one)

Principal,VP110]Retired

Rep

209]Purchasing,
210]Accounting,
211]Finance,
212[]General
213[]Marketing
214]Sales
215]Customer
216[]Other

310[]Chemical,
311]Agriculture,
312]Food
313[]Manufacturing
314]Manufacturing
315]Transportation
316[]Communication,
317[]Public
318[]Other

(Please
407(]Mail
408]Specialty
409]PurchasedbyCompany/School
410[]Directly
411]Other

505]Direct

506]Salesperson

507(]BrochureorIn
508[]Other

109]Independent,

111]Other

(Please

check
Scheduling,
Auditing

Investment

Administration/Management

Service,

Processing/Distribution

Admin./Government/Military

check

only

Order

Store

from

Mail

Please

Refining

Forestry,

Industrial
Consumer

Utilities

one)

HP

Store

Analysis

Maintenance

check

Livestock

Literature

___orHome

self-employed

only

one)

Inventory

Cntrl.

only

one)

Goods

Goods

___

MAILED

POSTAGE

IF

NECESSARY

NO

THE
IN

STATES

UNITED

OR

CARD

CORVALLIS,

NO. 35

REPLY

PERMIT

CLASS

BUSINESS

FIRST

Company

ADDRESSEE
BY

PAID
BE

WILL

Hewlett-Packard

POSTAGE

Blvd.

Dept.

Circle

Inquiries

N.E.

1000

ATTN:

U.S.A.

97330,

OR

Corvallis,

Comments

on

the

HP-27S

Owner’s

We

welcome

suggestions

Printing

Please
the

1=Strongly Agree
2=Agree
3=Neutral

®

The

®|can

®

The
®|can
®

The

®

The

®

The

®

The
®

The

®

The

1

Manual

your

evaluationofthis

helpusimprove

HP-27S

dateofthe

circlearesponse

Comments

manualiswell

find

informationinthe

easily

manual

examples

layout

illustrations
manual

chapter(s)

2 3 4

spacetoprovide

the

information|want.

understand
contains

are

and

format

are

length

and

manual.

our

publications.

Owner’s

manual

(from

for

eachofthe

4=Disagree
5=_Strongly

organized.

manualisaccurate.

enough

appropriate

are

clear

is:

appendixes|refertomost

5 6 7 8 9

Disagree

the

instructions.

examples.

and

attractive

and

helpful.

too

long

the

title

statements

additional

helpful.

and

Manual

Your

page)

opinions.

useful.

appropriate

frequently

comments

below.

12

1

1
1
1

1

1

1

A

You

2 3

2
2
2

2

2 3

2 3 4

too

are:

B

can

3

3 4
3 4

3

3

C

and

use

45

4 5

5
5

4 5

4 5

45

5

short.

D

Comments:

Name:
Address:
City/State/Zip:
Occupation:

MAILED

POSTAGE

IF

NECESSARY

NO

THE
IN

STATES

UNITED

OR

CARD

CORVALLIS,

38

NO.

REPLY

PERMIT

CLASS

ADDRESSEE
BY

PAID
BE

WILL

Department

Division

Company

Blvd.

Circle

Computer

Documentation

N.E.

U.S.A.

97330,

OR

BUSINESS

FIRST

Hewlett-Packard

POSTAGE

Portable

ATTN:

1000

Corvallis,

HP-27S
Scientific

Owner’s

Manual

Calculator

flf

Edition2February

Reorder

HEWLETT
PACKARD

Number

1988

00027-90028

Notice

For

warranty

199

and

This

manual

vided

“as

Packard

this

manual

ing,

but not

and

fitness

be

liable
connection
the

keystroke

©

Hewlett-Packard
aptation,ortranslationofthis
prohibited
pany, exceptasallowed
Company
manual

The

programs

rights

are
programs
also

prohibited.

and

203.

and

is”

and

Company

or

the

limited

foraparticular

for

any

errorsorfor

with

the

programs

without

grants

in

you

this

Hewlett-Packard

that

reserved.

without

regulatory

any

are

makes

keystroke

to,

information

keystroke
subjecttochange

no

the

furnishing,

contained

Co.

1987.

prior

written

under

the

righttouse

control

your

Reproduction,

prior

written

implied

purpose.

for

this

calculator,

programs

warranty

programs

incidentalorconsequential

contained

without

of

any

kind

contained

warranties

Hewiett-Packard

herein

notice.

of

Hewlett-

with

herein,

merchantability

Co.

damages

performance,oruseofthis

herein.

All

rights

manual,

reserved.
including

Reproduction,

any

programs,

permissionofHewlett-Packard

the

copyright

any

laws.

program

Hewlett-Packard
containedinthis

calculator.

calculator

are

copyrighted

adaptation,ortranslationofthose

permissionofHewlett-Packard

see

pages

are

regard

includ-

shall

manual

Com-

and

Co.

pro-

to

not

in
or

ad-

is

all

is

Portable

1000

N.E.

Corvallis,

Computer

Circle

OR

97330,

Division

Bivd.

U.S.A.

Printing

Edition
Edition

1

2

History

October

February

1987

1988

Mfg.
Mfg.

No.

00027-90029

No.

00027-90046

Contents

11

ListofExamples

14

1

15

15
15
15
16

18
20
20

21

21

21

21

22

22

22

How

to

Use

Getting

Power
The

The
The
The
Display

Started

On

and

Display

Display
MAIN
Calculator

Messages

Annunciators

The

Keyboard

The@(Shift)

The
Editing
Viewing
Menu

Clearing

and

the

Keys

PortionsofMemory

This

Manual

Off

Contrast

Display

Line

Key

Key

Clearing

History

and

the

Stack

Menus

Calculator

With

With

[a]

Line

and

[V¥]

M(CLEAR

22

25

27

28

28

30

Using

Menus

Applications

Numeric
Control
Calculations

Display

Mode

Function

Menus

With

and

Menus

VariablesinMenus

FormatofNumbers

4

Contents

31

32
32
34
34
34
35
35
36
38
40

42

42
42
43
43
45
46
46
49
51
53
53
59
60
61
62

Specifying
Places
Displaying
Scientific

(FIX

the

Mode)

the

and

Interchanging

Showing

Available

Beeper
Introducing

Typing
Editing

the

Full

Calculator

Function

the

Alphabetic

Alphabetic

Solver

SolvinganEquation

Keyboard

The
Arithmetic

Chain
Operator

Using
Reusing
Using
Numeric

General

Logarithmic

Arithmetic

Calculator

ParenthesesinCalculations
the

Registers

Line

Operators

Calculations

Priority

Previous

Functions

Functions

Functions
Trigonometric
Probability
Hyperbolic

Functions
Functions

PartsofNumbers

RangeofNumbers

Number

Full

Engineering

the

of

Displayed

PrecisionofNumbers

Notation

Period

and

Comma

Precision ofaNumber

Memory

and

the

ALPHA

Information

Information

and

Numeric

and

Result

Angle

([l[LAST))

Functions

Decimal

Menu

Functions

63

63
65
65
67

Base

Conversions

Switching

Bases

and

RepresentationofNumbers
Range
Arithmetic

of

HEX,

Operations

OCT,

and

Base

BIN

Arithmetic

Numbers

Contents

5

4

69

70
71
72
74
74
75
76
76

79
81
85

Statistics

Entering
Entering
Viewing
CopyingaList
Naming
Switching
ClearingaList
One-Variable
Statistics

Linear
Weighted

the

STAT
Data
and

Editing

and

RenamingaList

Lists

Statistics

Operations

Regression,

Mean

Application

and

Calculating

Number

and

Creating

and

the

With

Curve

Grouped

List

to

the

Two

Fitting,

the

Running

Calculator

New

Lists

Lists

and

Standard

Total

Line

(GET)

Estimation

Deviation

87

S

89

90
91
92
93
93
94
94
95
95

Summation

The

Equation

Entering
Entering
Doing

Solver
Clearing
Viewing
Naming
Shared

Solver
Deleting
Deleting

Statistics

Solver

the

SOLVE

Equations

Calculations
Solver
and

an

the

All

Variables

Editing

Equation

Variables

Current

Equations

Application

the

Equation

Equation

and/or

and/or

Their

Its

Variables

Variables

6

Contents

The

96

98
103
106

108

110
110
110
111

112
113

117

118
120
122
122
123
127
130
131
134

SyntaxofEquations

Solver

How

Time

Entering
Cash
TVM
Clearing
Loan
Savings

Functions
Conditional
Creating

Function)
The

Menus

Summing

Summing

the

Solver
Direct
Halting
Entering

and

and

Guesses

Outcomes

Value

the

Flow

Diagrams

Calculations

the

Calculations

Calculations

Expressions

for

Multiple

(Z)

Function

Operations

Works

Iterative

Solutions

RestartinganIterative

ofanIterative

of

Money

TVM

Application

and

TVM

Variables

Amortization

DisplayinganAmortization
PrintinganAmortization

(IF

With

Sign

Function)

Equations

STAT

Solution

Convention

Schedule

Schedule

(S

Lists

Search

136

136
137
139
139
140
140
142
143
143

Time,

Viewing
Setting
Changing
Adjusting

Appointments,

the

the

the
the

Appointments

Viewing

and

Acknowledging

Unacknowledged
Clearing

and

Time

and

Date

Time

and

Date

Time

and

Date

Clock

Setting

SettinganAppointment

an

Appointment

Appointments

Appointments

Date

Formats

Arithmetic

Contents

7

145
145
146
147
147

8

9

148

149
149
150
150

151
152
153

154

154
154
156
158
160
163
165
166
168
171
172
176
179
181

183

186
188

Date

Arithmetic
Determining
Calculating
Calculating
Clearing

the

Day

the

Number

PastorFuture

the

Date

Arithmetic

of

Printing

Printing
Printing
Printing

Interrupting

Additional

Vector Calculations

Laws
Probability
SimulatingaTossofDice
Motionofa
The
Distance
Leasing
Interest
Finding
Moving

Chi-Squared

Calculating
Number

Speed
the

Other
Printing
Printing
Trace

Printing

and

Calculator

Information

Variables,

Descriptive

the

Printer

Examples

Adding
Angle
ProjectionofOne

Two

Between

of

Sines

Calculations

Catenary

Between
Calculations
Rate
Several
Average

Subtotals

of

Days

VectorsinPolar

and

Projectile

Equation

Conversions

Rootsofa

(x?)

the

Printer’s

Line

Lists,

Messages

Two

Vectors

VectoronAnother

Cosines

Two

Locations

Statistics

UntilaSpecial

the

Week

for

of

Days

Between

Dates

Variables

Power

(J§[PRT])

(J[PRINTER])

and

Appointments

Coordinates

Function

Day

Any

Dates

Source

Date

8

Contents

189
189
189
191
191
192
194
195
196
196

197
197
198
199
199
200
200
201
201
201
202
202
202
203
203
203

Assistance,

Obtaining

Answers

Power

and
Low-Power
Installing

Managing
Resetting
Erasing
Clock

Accuracy

Environmental

Batteries,

HelpinOperating

to

Common

Batteries

Indications

Batteries

Calculator

the

Calculator

Continuous

Limits
DeterminingIfthe
Confirming
Limited

What
What
Consumer

If

the
Obtaining
Service
Shipping
Warranty
Service

Regulatory

Radio
Air

Calculator
One-Year
Is

Covered

Is

Not

Transactionsinthe

Calculator

Service

Charge

Instructions

on

Agreements

Information

Frequency

Safety

Notice

Covered

Service

Memory,

Questions

Memory

Memory

Calculator

Operation—The

Warranty

Requires

Interference

(U.S.A.)

the

Requires

Service

and

Service

Calculator

Service

Self-Test

United

Kingdom

Contents

9

B

C

D

204

204

207

207
209
211

215
222
224
225

226
226
228

229

230
231

232

More

About

Direct

Iterative

Equations
SOLVE
Statistics

Curve

TVM
Numeric

Menu

Solutions

Solutions

How

the

Solver

The

Solver’s
Cases
and

Case2Solutions
Case
Case
Round-off

WhereARootisDisplayed

1b)

3:

Bad

4:

When

Used

Fitting

Function

Maps

The

Solver

FindsaRoot

AbilitytoFindaRoot

Guesses

a

Error

and

Solution

by

HP-27S

Menus

Tables

Isn’t

Menus

Iteratively

(Cases

Found

la

238

243

10

Contents

Error

Index

Messages

List

The
only

of

following

the

examples

Examples

list

groups

that

the

requireamoderate

examplesbychapter.

1 StartingtoUse

28

29

30
36
37
39

40

3

64
67

4

73
77
83
85

87

Calculating
Numbers

Calculating

Using
WritingaSolver
Typing
Editing

Carbon-14

Base

Converting
ArithmeticinHEX, OCT,

the

NEW

the

%CHG

the

Radioactive

the

Radioactive

Dating

Conversions

Between

Statistics

UpdatingaCheckbook
One-Variable
Curve
Weighted
Grouped
Summation

Fitting

Statistics

Mean

Data

Statistics

the

Percent

in

Menu

Equation

and

and

number

HP-27S

Change

the

%CHG

inaChain

for

Decay

Decay

and

Base

Bases

and

Calculations

Estimation

Standard

The

list

of

steps.

Between

Menu

Calculation

Radioactive

Equation

Equation

Arithmetic

BIN

Bases

Calculations

Deviation

of

shows

Two

Decay

ListofExamples

11

The

Equation

89

94
105
107
109
113

6

123
124
125
127
129
132
134

7

139
144
146

The

EquationofMotion
Temperature
NestedIFFunctions
Unit

Conversions

A

Series

Entering

Time

Value

A

Car

Loan

A

Home

A

Mortgage

A

Savings

An

Individual

DisplayinganAmortization

PrintinganAmortization

Time,

Setting
Setting

Appointments,

the
and

Calculating

Solver

for

Conversions

Using

Expansion
Guesses

of

Money

Mortgage

WithaBalloon

Account

Retirement

Account

Schedule

Schedule

and

Date

Date

and

Time

ClearinganAppointment

the

Number

of

Days

Free-Fall

Shared

Payment

Arithmetic

Between

Variables

Two

Dates

147

DeterminingaFuture

Date

8

12

Printing

152

ListofExamples

Trace

PrintinganArithmetic

Calculation

Additional

154
156
158
160
162
163
165
166
168
171
172
174

Adding
Angle

ProjectionofOne
Law

of

Law

of
Probability
SimulatingaTossofDice
Motionofa

The

Catenary
Distance
CalculatingaLease
Present

Advanced
176
179
181
183
186
188

Interest

Finding

Moving
Chi-Squared
Calculating

NumberofDays

More

212
212
214
216
218

220

221
222

A

Case1Solution

A

Case1Solution

A

Discontinuous

A

Case2aSolution

A

Case

A

Case

A

Function

A

Case3Situation

Examples

Two

VectorsinPolar

Between

Two

Sines
Cosines

Calculations

Projectile

Equation

Between

(Capitalized)

Payments

Rate

Conversions

Several

Rootsofa

Average

(x?)

Subtotals

About

2b

Solution

2c¢

Solution

the

Dippingtothe

Coordinates

Vectors

VectoronAnother

Two

Locations

Payment

Value

of a

and

OptiontoBuy

Function

Statistics

UntilaSpecial

Solver

With

One

Root

With

Two

Roots

Function

(Relative

Minimum)

X-Axis

Lease

Day

With

ListofExamples

13

How

The
you
joy
people
each
the

We

to

Use

HP-27Sisdesignedtominimize

enjoy

reading

immersing

don’t

paragraph.

calculator

have

some

manuals

yourselfinthis

wanttoput

So,

we’ve

while

you

suggestions

This

Manual

your

needtouse

cover-to-cover,wehope

one.

However,

aside

written

use

it.

for

whatever

the

using

they’ve

manualtohelp

the

manual

that

we

know

been

doingtosavor

you

effectively:

the

you

manual.

will

that

learn

If

en-

most

about

B Read

chapter1foranoverviewofhow

duces terms

B

The

HP-27S

are

unfamiliar

read

pages43through

calculations.

B

There

are

the

subject

B

B

pendix
Before

lator
For

Browse

stroke

ideas

D.

doing

uses

this

example

for

and

concepts

does

keyboard

with

this

several

waystolocate

index,

the

time-value-of-money

positive

information,

through

putting

and

refertopage

the

examplesinchapter9.You

you

can

the

the

used

throughout

arithmetic

wayofdoing

using

arithmetic

45inchapter2before

information:

listofexamples,

and

problems,

negative

numbers

120.

use.

Justasimportant,

HP-27S

to

work

for

HP-27S

the

manual.

algebraic

calculations,

you

the

tableofcontents,

the

menu

learn

in

financial

you

you.

works.Itintro-

logic.Ifyou

please

do

multi-step

maps

in

how

the

calcu-

calculations.

may

seeakey-

may

find

some

ap-

14

How

to

Use

This

Manual

Getting

Power

The

HP-27Sispowered

shipped

To

the@(shift)
Memory,
To
stop

If

play,
instructionsonpage

The

The

To
or

with

turnonthe

turningitoff

conserve

using

you

see the

you

Display

Display

adjust

[-].

Started

On

and

batteries

calculator,

key,

energy,

it.

low-battery

should

Contrast

the

display

then

replace

Off

by

installed.

press

[CLR].

does

the

calculator

the

192.

contrast,

three

mercury

[CLR].Toturn

Since

not

affect

turns

annunciator

batteriesassoonaspossible,

hold

batteries.

the

the

calculator

the

information

itself

off10minutes

(§&==J)atthe

down

The

calculator

has

while

calculator

off,

Continuous

you’ve

stored.

after

topofthe

using

you

press

is

press

you

dis-

the

1:

Getting

Started

15

The

MAIN

The

display

both

linestodisplay

line,

called

tionisshown

Display

has

two

the

calculator

on

major

numbers.

the

top

and

Menus

configurations.

Calculations

line,

and

the

line.

The

“MAIN”

are

done

resultofthe

display

on

the

previous

uses

bottom

calcula-

Previous

|2
—

The

next
press[CONVERT
top

line,
consistsoflabels
the

topofthe

3y

Calculator

illustration

and

the

keyboard.

Calculator

(

27S

3,

mmmm

)

result

8161

864.B08H

line

shows

([}

bottom

that

line

864.08680

the

followedby[x]).

line

describe

configurationofthe

The

calculator

displays

the

the

current

CONVERT

functionofthe

CONVERT

SCIENTIFIC

GG

=

display

lineisnow

menu.

The

menu

menu

)

|

after

menu

keys

you

the

at

rAHL]fi(—]

Menu

keys

16

1:

Getting

Started

Pressing[lfollowedbyoneofthe
a

menu.
MAIN
play.

Pressing[vAIN]

display.

“Using

(Sometimes,

Menus”

([l

followedby(ExIT])

on

page22explains

keys

shadedinfigure

always

without[restores

these

keys.)

1-1

restores

the

displays

MAIN

the

dis-

If

necessary,

these

calculationstosee

ous

calculations:

CLEAR

Con)

OFF

Figure

press

1-1.

J[MAIN]toerase

DATA

(A

MEM

Keys

how

the

28.6711
100

25

69

E

Yo

(0

SHOW

That

the

HP-27S

(=]

7.9412
25

(3]

12.4

[x]56(=)

s

)

LAST

Display

menu

displays

[=]

[5)

[5)

&

PRT

Menus

labels.

Then,

the

resultsofprevi-

key

in

The

and

isory
stac

calculator

the

three

retains

previous

2@,

7299

125,

Z.0161
3,

864.

Calculator

four

linesofinformation—the

results.

These

8089

0080

line

<—

four

lines

1:

Getting

are

calculator

the

history

Started

line

stack.

17

The

Calculator

The

following

Arithmetic

Line

examples

calculations

use

the

calculator

are

coveredingreater

line

for

simple

detailinchapter

calculations.

2.

Keys:

24.715

62.471

[+]

(=)

Display:

24,715+

87.1860

Whenacalculation
number

19(x]12.68

If
ous

(+]

(=)

Math

key

startsanew

(=]

you

pressanoperator

result

remainsinthe

1155

functions involving

24@.9200

240

356.4200

right.

3.57

B=

(=]

2.36

2.5700+5.5696

9.1396

has

been

calculation.

key

calculator

,92088+115.5

one

Description:

Adds

completed

(by

pressing

Calculates19x

after

completingacalculation,

line.

Completes

calculation.

number

use

the

number

Calculates

Completes

calculation.

24.715

and

[=]),

the

furthesttothe

2.362.

the

62.471.

pressing

12.68.

the

previ-

a

You

6.9

918

18

can

do

(x]5.35(+]

(=)

1:

Getting

“chain”

36.9158<

48,2124

Started

calculations

without

using

(=]

Pressing

intermediate

after

[+]

each

step.

displays

answer.

the

Chain
erators

calculations

(see

page

43

are

interpreted

for

more

accordingtothe

information).

priorityofthe

op-

4 9

3

(=)

displays

478

(=)

Negative
number:

B

Keyinthe

B[fthe

in

the

Keys:

75

(+]3(=)

452
()12

(=]

the

3

Numbers.

number

number.

(x][=]

7.1

4.,0000+9,0000x

31.0000

exponentiation

4,7800"3

183.8230

There

number

and

are

press

followsanoperator,

Display:

-75

-25.00008

-2.6743

operator,

two

ways

[*4].

you

Additionisdelayed;
multiplication

priority.

has

Calculates4+

*:

B

(7]

Completes

calculation.

to

keyina

can

press

Description:

Changes

Calculates

(-]

after

displays

(-]

the

negative

before

the

signof75.

—75

changes

~.

signof7.1.

higher

(9x3).

keying

=+

3.

the

Exceeding

characters,
three

dots

information,

the

Display

information

appear.

itisretained

3

864.88680

5535%¢1.0PPP-5.

TN

Width.

scrolls

Although

Calculator

in

When

off

you

memory.

the

can

line

the

left

no

longer

contains

calculator

sideofthe

view

5614%

more

than

1:

Getting

line

display

that

21

Started

contains

and

numerical

characters

22

19

Display

Messages

Display

W

B

B

Messages
when
key.Toclear
or

Annunciators

The
calculator.

Annunciator

4

O,

((®)

1
RAD

messages

Help

messages

nextorreminders
Error

messages

tempt

incorrect

page

240.

Diagnostic
endofcertain
chapter

you

(¢].

display

messages

5.

do

not

continue

error

has

have

three

purposes:

are

hints

about

the

aboutanassumption

are

displayed

operations.

are

complex

affect

the

what

messages

five

annunciatorstoindicate

Table

shift()is

The

HP-27Sistransmitting

148).

An

appointmentispast

Low

batteries

The

HP-27S

and

The

error

displayedinthe

calculations.

history

you

were

without

1-1.

Annunciators

active

(page

(page

191).

isinradians

keystrokes

the

HP-27S

messages

These

stack.

doingbypressinganappropriate

doing

Meaning

21).

informationtothe

due

mode

the

calculator

the

HP-27Sismaking.

beeps
are

listed

SOLVE

The

anything

(page

applicationatthe

messages

messages

else,

the

current

143).

(page

54).

expects

when

you

starting

are

covered

are

cleared

press

statusofthe

printer

(page

at-

on

in

20

1:

Getting

Started

The

Keyboard

The[(Shift)

Most

keys

haveasecond

blue

shift

key

press

and

release[}to

press

the

key.

B(OFF])

If
annunciator.

turns

you

accidentally

The

The
into

memory.

calculations.

manual.

Editing

When
you
furthesttothe

and

the cursorisvisible,(](backspace)

keyed

in.

Key

accesses

For

example,

the

Key

keyisusedincertain

You

Using

Clearing

When

right.

function

these

turn

pressing[lfollowed

calculator

press[,press@againtoturn

can

also

is

the

cursorisnot

printedinblue

operations.Todoa“shifted”

on

the

shift

annunciator

by

off.

applicationstoenter

use

covered

the

in

placeof(=]inarithmetic

whereitis

Calculator

deletes

visible,

(4]

above

off

used

Line

the

deletes

the

key.

operation,

(__4).

throughout

last

Then,

(also

written

the

shift

information

character

the

number

The

the

Pressing
line.

When

and

restores

an

the

when

the

calculatorison

error

messageisdisplayed,

original

contentsofthe

usually

calculator

1:

clears

erases

Getting

the

line.

Started

calculator

the

message

21

Viewing

(a]

and
history
line.

In
tional

the

stack

STAT

stored

the

[v]

roll

when

and

information.

History

the

history

thereisan

SOLVE

Stack

stackupand

applications,

With

incomplete

(ao]

and

down.

calculationinthe

(o]

and

[¥]

You

let

(V]

cannot

you

view

roll

the

calculator

addi-

Menu

The
increase
cause

The

changeasyou

use

Clearing

B
three
data

sociated

discussionsofthose

Using

Pressing
menu.
change)

Keys

six

keysatthe

they

menu

these

CLEAR

previous

associated

For

menu:

the

number

change

keys

have

switch

functions

Portions

clears

results.Incertain

with

with

menus

Menus

oneofthe

example,

topofthe

of

functionasyou

shifted

menus.

without

the

that

is

menus.

shifted

pressingB[%CHG

keyboard

operations

functions—\/x,

When

pressing

of

Memory

history

menu.

covered

Using[[CLEAR

keys

are

menu

available

switch

menu

.

from

menus.

labels

With[CLEAR

stack—the

menus,[CLEAR

throughout

labeled

calculator

the

with

displays

x?,

bold

keys.

the

etc,

are

manual

letters

the

%CHG

The

menu

keyboard

thatdonot

absent,

to

line

also

clear

in

you

and

clears

data

the

displays

(percent

keys

be-

can

the

as-

a

6.

8884

KNLR

S

Percent

22

1:

Getting

Started

change

IEE

menu

The

menu
Here,
percent
menu

The
The

B

oLp

change.

and

keys

that

tableisdivided

Applications.
menus.
that

Pressinganapplication

application.
youtoaccess
pressing@TIME
the

TIME

menu.

B

Numeric

numeric

B

(°:CHG]

calculations.

B

Control
to

Some

key

menus.

control

menus

switches

keys

are

now

,

HNEW,and

Pressing[MAIN]

restores

the

display

accordingtothe

Eachofthe

Menus

all

the

displays

application.

functions.

functions

displays

the

Control

the

optional

contain

between

labeledbythe

%cH

(or,inthis

MAIN

menus

display.

are

describedintable

four

applications
key

“branching”

functionalityinthe

the

TIME

Each

keyinthe

Numeric

available

numeric

menus

function

from

the

function

allow

printer.

more

than

six

labels.Inthose

the

“pages”ofthe

bottom

are

variables

three

typesofmenus:

displays

from

the

application.

menu—the

TIME

menus

keyboard.

menu

youtoset

menu.

lineofthe

usedtocalculate

case,

[(EXIT])

1-2onpage

consistsofa

the

top-level

top-level

menu

For

top-level

menu

displays

extend

For

for

the

example,

percent

certain

menus,

display.

erases

group

menu

example,

menu

another

number

change

modes

a

the

24.

of

in

allow

in

of

and

MORE

1:

Getting

Started

23

Table

1-2.

Menus

Key

B(soLvE])
B

(sTAT]

Bvv]

B(TvE)

B

(BAsSE]

B(ProB]

B(HvyrP)
B[

CONVERT]

B

(sCHG)

Operations

Applications

Entering
Statistics,

regression,

Time

amortization).

Clock,

Number

mal,

Probability

rial,

Hyperbolic
Convert

B
B

B

Percent

equations

running

curve

valueofmoney

calendar,

Numeric

base

conversions

octal,

binary).

(permutations,

random

Degrees
Hours.Decimal

Hours.MinutesSeconds.
Polar

number)

and

inverse

between:

and

and

rectangular

change

Done

in

This

and

solving

total,

weighted

fitting,

estimation.

(loans,

savings,

appointments,

Function

radians.

hours

between

Menus

(decimal,

combinations,

hyperbolic

and

coordinates.

two

numbers.

Category

for

variables.

mean,

date

arithmetic.

hexadeci-

functions.

linear

leasing,

facto-

Ch:‘:t!er:

6

7

3

2

2

2

2

B

(PARTS]

B

(MODES

@(PRINTER]

24

1:

Number-altering

lute

value,

Switch

B

B
B

B

Printing

calculator

Display
interchanging

Angle
Beeper
Printer

stored

Getting

Started

etc.)

Control

modes:

modes:

modes.

power:

information.

functions

Menus

modes:

FIX,

scientific,

the

period

degrees,

battery,

(integer

engineering;

and

comma.

radians.

AC.

part,

abso-

2

1

2
1
8

8

Applications

Figure
top-level
CALC

shows

m

B

1-2

illustrates

STAT

menu

menu

(displayed

th

e

functionofseveral

Use
ofanapplication

Use[MAIN]toleave

to

display

A

T11||11

STAT

menu

B(vAN]

CALC

menu

two

menu

(displayed

when

the

previous

restores

the

application

CALC

|

TOTAL

levelsinthe

when

you

press

other

menu.

the

MAIN

B(sTAT)

INSR

I

MEAN MEDN

|

MIN

you

keys:

display.

and

MAIN

DELET

MAX

STAT

press

[[STAT])

€AL&).The

Exiting

restore

Display

NAME

| |

STDEV

| |

SORT

application—the

and

illustration

from

the

top

the

MAIN

GET

display.

TOTAL

]

RANG

MORE

]

FRCST

MORE

the

level

Figure

1-2.

An

Application

Menu

1:

Map

Getting

Started

25

Figure
do

1-3

not

needtopress@[MAIN]toswitch
application
exit

from

the

of

the

new

STAT
Menu

illustrates

key

(for

switching

example,

previous

application.

from

[[STAT])

application,

MAIN

Display

one

applicationtoanother.

applications;

and

performs

entry

into

two

the

B(sTAT]

You

pressing

an
operations—an
top-level

menu

TIME
Menu

CALC

INSR

DELET.

NAME

GET

TOTAL

‘

CALC

APPT

I

ADJST

B(sTAT]

CALC
Menu Menu

TOTAL

MEAN

MEDN

STDEV

‘

RANG

MORE

‘

APT

1
APT

’

APTBI

2

APT

B(sTAT)

APT

MSG

Menu

‘

RPT

Figure

1-3.

Switching

DATE

TIME

Applications

‘

A/PM

l

SET

APPT

|

)

APT

5

3

HELP

l

MORE

4

26

1:

Getting

Started

Numeric

The

major

tion

menus

®

Numeric
branching

B

Numeric
the

%

CHG

’

OLD

Function

differences

are:

function

from

functions

application.

menu

|

NEW

‘

%CH

Menus

between

menus

these

menus.

canbeused

W[7CHG

I

have

numeric

only

within

CALC

TOTAL

function

one

applications

level;

STAT

menus

there

arenomenus

without

application

and

applica-

| |

’

INSRT

|

I

MEAN‘STDEV‘MORE

NAME

DELET

MEDN

GET

|

RANG

leaving

|

TOTAL

|

Figure

Numeric

ample,ifyou
menu,

1-4.

function

UsingaNumeric

menus

display

does

replace

the

%CHG

not

returntothe

Function

one

another

menu

%CHG

and

Menu

then

menu.

1:

inanApplication

(see

figure

1-5).

switchtothe

Getting

Started

For

ex-

HYP

27

B

(~CHG]

MAIN

application

Display

menu

or

(EXIT]

%CHG

NEW

oLD

Control

Each
plays
operation
data,

Calculations

Many
a

setofvariables

menu

%CH

Figure

1-5.

Menus

control

the

menu

menu

has

you

performedissetting

the

exit

occurs

With

application

and

accessedbymenu
locationincalculator
bers

into

the

known

Example:

Numbers.
the

%CHG

Calculating

Calculate

menu.

.m

Switching

one

were

level.

viewing

Numeric

Exitingacontrol

the

automatically.

Variables

numeric

memory.

variables

the

the

You

andtosolve

Percent

percent

function

change

COSH

SINH

Function

previously.
display

formatorprinting

in

Menus

menus

keys.

The

use

the

menu

for

Change

between

HYP

menu

ASNH

TANH

Menus

menu

When

the

do

calculations

variables

keystostore

the

unknown

Between

37.5

and

‘

ATNH

ACOSH

always

dis-

control

stored

using

areanamed

num-

variable.

Two

55.6

using

Press@[%CHG]

variables

keystrokes

28

1:

OLD,

for

Getting

to

display

NEW,

doing

Started

the

and

%CH.

the

calculation.

%CHG

The

menu,

following

which

consistsofthe

illustration

shows

the

Keys:

Display:

Keys:

Display:

Keys:

Display:

55.6

37.5

:

™1

%CH_

NEMW

OLD

NEW

%

CH

Calculator

Memory

Example:
number
variables:

Keys:

Display:

Keys:

Display:ilDi=2%

Keys:

Display:

The

B

15%

15

HEHEE=~

&

25.85

NEW

HEW=Z1,

rules

To

storeavalue,

If

the

calculator

the

expressionisevaluated
stored.Tostore
pressing
calculator
just

keyed

Calculating

less

than

EIROH

15

OLD

&an

275

for

using

line

only

the

menu

line

that

in).

NEW

in

the

25.85.

This

calculation

menu

variables

keyinthe

containsanexpression

the

rightmost

key.

Also

was

previously

number

and

use

are:

the

%CHG

calculated

and

result

number,

to

Menu.

NEW

press

(for

(in

storeanumber

Calculate

uses

the

same

|

%CH

the

menu

example,2[x]

this

case,

press

(one

that

you

the
three

|

Calculator

Memory

key.

58),

100)

is

before

on

the

haven’t

1:

Getting

Started

29

B

To

calculateavalue,
number.Inother
another,
message

the

second key

CALCULATING.

®Torecallapreviously

lowed

by

the

menu

valueinOLD.

BToclear

all

the

variablesina

menuisdisplayed.

B

Certain

variables

pressamenu

words,

storedorcalculated

key.

The

are

store-only

mapsinappendixDindicate

key

without

when

you

press

two

doesacalculation.

..isbriefly

For

example,

menu,

history

stackisalso

these

displayed.

pressiCLEAR

or

calculate-only.

variables.

menu

During

value,

gLo

cleared.

first

keying

keys

one

after

calculations,

press

displays

while

The

menu

in a

the

fol-

the

the

Example:

the

percent

is

usedtostore

Keys:

45

B(:CcHG)

.95

STO oLD

25

NEW

%CH

(=)

Display

When
played
The

The

you

with

display

MODES

Using

the

change

Display:

42.7500+

16

42.75680+16,80800

42

42.7500+56,2500

99.0000

Mode

turnonthe

four

decimal

mode

controls

menu

%CHG

between

only

.75808+25,80800

and

16

the

rightmost

Format

Menu

HP-27S

places

how

is

usedtochange

inaChain

and

25tothe

productof45x.95.

number

Description:

Calculates

Stores16in

Stores25in

Calculates

Completes

calculation.

of

Numbers

for

the

first

time,

andaperiodasthe

numbers

are

formattedinthe

the

display

Calculation.

on

the

calculator

the

%CH.

the

numbers

decimal

mode.

product.

OLD.

NEW.

are

display.

Add

line.

dis-

point.

30

1:

Getting

Started

Decimal

ELEI:T
mmmm

point,

digit

separator

DI

SPLHH\FDRMHT

/

Scientific

Select

0—11

Regardlessofthe

12-digit

mantissa

display

withasigned,
pressing@[-]inFIX4mode
is

storedas3.14159265359

Specifying
(FIX

Mode)

To

specify

1.

Press[MODES].

2.

Press
from0to

the

Number

the

number

of

F1®.Keyinthe

11)

and

press

\

notation

decimal

mode,

places

each
three-digit

displays

x

10000,

of

displayed

number

[INPUT].

Full

calculator

Engineering

notation

numberisstoredasa

exponent.*

3.1416.

Displayed

decimal

of

decimal

Internally,

Decimal

places:

precision

For

places

example,

the

number

Places

(an

signed,

integer

*

During

results.

complex

internal

calculations,

the

HP-27S

uses

15-digit

1:

Getting

precision

for

Started

intermediate

31

Keys:

Display:

Description:

45.6

(=]

@

FIX

.1256

3.7274

(VODES

3

5.727

@8

(voDEs

FI&"

6

5.727360

@

(vODES

FIR

4

5.7274

Whenanumberistoo
mat,itis

Displaying

To

display

digits,

displayedinscientific

the

Full

numbers

as

press[MODES]

Initially,4decimal
places.

Displays3decimal

places.

Displays6decimal

places.

Restores
places.

largeortoo

smalltobe

notation.

Precision

of

Numbers

preciselyaspossibleuptoamaximum

ALL

four

decimal

displayedinFIX

of

for-

12

Scientific

Scientific
mantissa

10

32

with

raisedtoa

1:

Getting

and

Notation.

one

digittothe

power.

Sign

of

mantissa

Started

Engineering

Scientific

leftofthe

Digits

decimal

-1.234567232012E-5

e

Mantissa

Notation

notation

after

point

(12

expressesanumber

decimal

digits

point,

Sign

of

exponent

maximum)

multiplied

Power

of

as a

by

10

To

1.

2.

specify

scientific

Press

@(voDES],

Keyinthe

11)

and

number

press

notation:

then

of

[INPUT].

8E1

decimal

placesinthe

mantissa(0through

Engineering
a

mantissa

point,

To

multipliedby10

specify

1.

Press[voDES],then

2.

Keyinthe
first

Keying

play

mode,

by

an

exponent:

1.

Keyinthe
change

2.

Press

3.Ifthe

4.

Keyinthe

Notation.

with

Sign

mantissa Mantissa

engineering

digit

in

Numbers

you

the

(E]

exponentisnegative,

Engineering

one,

two,

or three

raisedtoa

c?ilgirt"sflg?tne:r
first

digit

[

-12.3456789012E-12

L

of

notation:

ENG

numberofsignificant

and

press

(INPUT].

With

Exponents.

can

always

mantissa.Ifthe

keyina

mantissaisnegative,

sign.

to

start

the

exponent.

press

exponent.

notation

expressesanumber

digitstothe

power

divisible

Sign
exponent

/

(12

digits

maximum)

digitstobe

Regardlessofthe

number

asamantissa

[-].

leftofthe

evenlyby3.

of

Powerof10
(multiplesof3)

displayed

use

decimal

after

current

followed

as

the

dis-

to

1:

Getting

Started

33

Keys:

478

B[]

13

()8

M(E]

25

(=]

2.36

[*~)

M(E]

(=]15[x]12([=)

Display:

5.9750E-13

-2.8320E-14

Description:

4.78x1013=8x10?5
equals

5.9750x10713,

—236x10715x12

=

—2.832x10714,

Interchanging

You

can

interchange

separator.

To

interchange

then

For

1,080,00808,.080080

.-,

Showing

To

temporarily

lator

line,

press@and

two

numbers

Release

in

Available

The

HP-27S

use.[lMEM]

displayed

has

displays

until

the

the

characters

example,

the

the

view

one

decimal

Full

the

full

then

the

calculator

to

restore

Calculator

approximately

the

you

release

Period

million

point

and

usedasthe

canbedisplayed:

or

and

digit

Precision

12-digit

hold

the

precisionofthe

down

line,

only

calculator

[SHOW].Ifthere

the

line.

Memory

6,900

bytesofmemory

amountofunused

[MEM].

Comma

decimal

1.800,.0080,08008

separator,

of

rightmost

memory.

press [l

a

Number

numberinthe

number

available

The

point

and

MODES

are

more

is

shown.

for

information

digit

|,

calcu-

than

your

is

AVYAILABLE
6,883 BYTES

34

1:

Getting

Started

HMEMORY:

864

If

you

attemptanoperation

rently

have

available,

the

that

HP-27S

requires

displays:

more

memory

than

you

cur-

You

must

eraseaportionofyour
proceeding
tional

information).

stored

(see

Beeper

Ordinarily,
tone

when

come

due.

ling

when

1.

Press[lMODES

2.

Press

HP-27S
B

BEEPER

an

B

BEEPER

B

BEEPER

due

3.

Press

INSUFFICIENT

(see

“Managing

You

“Erasing

Continuous

Function

the

beeperison,

error

messages

However,

the

BEEP

displays

appointment

and

[EXIT].

the

beeper

oneormore

ON:

OFF.

ON.

when

The

previously

Calculator

can

also

Memory”

erase

Memory”

and

the

calculator

are

displayed

HP-27S

has

three

sounds.Tochange

MORE

timestochange

the

appropriate

APPTS

comes

The

beeper

beeper

error

messages

ONLY.
due.

message:

The

does

sounds

are

MEMORY

stored

all

the

on

and

beeper

the

beeper

not

sound.

when

displayed.

information

on

page

194

information

page

196).

sounds

when

beeper

the

an

appointments

modes

for

mode:

mode,

sounds

an appointment

for

you've

audible

control-

until

only

before

addi-

the

when

comes

Introducing

The

SOLVE

and

create

menus
isabrief
alphabetic
and

introductiontothe

characters,

other

characters

the

application,orSolver,

consistingofthe

this

not

eredindetailinchapter

Solver

and

lets

variablesinthose

Solver.

section

Because

also

presentonthe

5.

the

you

enter

equations

explains

keyboard.

1:

ALPHA

your

how

The

Getting

Menu

own

equations
equations.
usually

to

Started

contain

type

letters

Solveriscov-

This

35

Example:

equation

where:

WritingaSolver

for

computing

Equation

the

rateofdecayofradioactive

—kt

=

lnl

for

Radioactive

N

0

Decay.

substances

The

is:

t=elapsed
k=the

rate

substance.
Ny,=the
N

=

The

Typing

The
menu,

amount

the

amount

equation

Alphabetic

ALPHA

andatother

ters.Itallows

®

Uppercase

B

Space.

B

Various

other

letters.

time.

constant

for

the

Variablestandkmust

of

the

substance

of

the

substance

must

be

writtenina

Optional

-KXT

Solver

Information

menuisdisplayed

times

when

youtotype

lettersAthrough

characters,

the

characters

including

decay,

characteristicofthe

use

presentatt=0.

presentattime

form

spaces

=

LNCN+N@>

——

function

when

you

you

needtoenter

that

Z.

punctuation

the

the

press

are

same

¢.

Solver

HEW

alphabetic

notonthe

and

particular

time

units.

can

interpret:

in

the

keyboard:

non-English

SOLVE

charac-

The

lettersAthroughZare
example,Ais
restores

displayedbypressing

the

ALPHA

character.

36

1:

Getting

menu,

Started

displayedbypressing

so

you

ABEBE

are

"A

readytotype

two
.

Pressing

menu

the

keys;

next

for

A

|

ABCDE

l

<

—_—

lG|LTI

>#space

FGHI

|

l

|

space

$

¥,.

———

|

JKLM

OTLER

|/

I

NOPQ

FE

AOUg?

-

|

RSTUV

l

1

L’J \I/

.,

J

WXYZ

OTlER

AAoON,;

y

l

Alph

mgni

Letters,

space

OTHER

characters

AC&°A

e’

Each

letter

menu

~!@"

\

has

%

.

J

an
thanAthroughZ.Pressing
same

setoffive

through

The

seven

letter

includeaspace

The

following

can

use

(4]tocorrect

further

editing,

characters

setsofcharacters.

menus

with

only

character

keystrokes

typing

refertothe

( )-

enter

tion.”

Example:

keystrokestoenter

Typing

the

Radioactive

the

equation

Solver:

Keys:

@

(SoLvE

B

[NEMW

S

-

OTHER

OTHER

plus

four

mistakes

next

I

.

key

for

in

any

MGRE,which

letters

the

(for

radioactive

discovered

section,

“Editing

Decay

—KXT

J

accessing

letter

characters

menu

allows

displays

youtopage

example,Nthrough

decay

equation.

right

away.Todo

Alphabetic

Equation.

=

LN(N-+NO0)

Display:

ALPHA

-

Use

into

menu

other

the

Q)

You

Informa-

these

the

JKLM

RSTUWY

WXYZ

(=)

K

-K

~Kx

T

-KXT

-KxT

-KxT

1:

Getting

(space)

=

Started

37

ABCDE OTHER

to

displayaspace)

B(LN]

(typing

JKLM

NOP@R

(=]

NOP@Q

(0]

(“zero”

key)

i

H

H

aid)

or

HOPQ

(another

H

way

-KxT

—KxT

-KxT

~KXT

-KXT

-KxT

=

(space)

=

LHN¢

=

LNCN

LN(M:

=

=

LNC(N=N

=

LN(N+N®B

—KxT=LNCN+N@)

Enters
memory.

the

equation

into

@(L\]isatyping

lists

the

other

typing

etc.)

are

not

active

Editing

The

ALPHA

Alphabetic

menu
whichisdisplayed
you

press

EDIT

monu

T

ALPHA-edit

menu

T

ALPHA

menu

aid

during

aids.)

when

alphabetic

The

the

ALPHA

Information

hasacompanion
when

you

in

the

SOLVE

|

CALC

[

DEL

| l

<<—

|

ABCDE

entry.

application

menu

menu,

exit

from

menu.*

|

EDIT

<—

|

FGHI

JKLM

the

|

(Table

keys

is

the

ALPHA

I l

—_>

NOPQ

5-3onpage

(B[

SOLVE|,BI[STAT],

displayed.

ALPHA-edit

menu

or

|

DELETE

—=>

|

RSTUV

]

ALPHA

|

menu,

when

|

NEW

]

WXYZ

98

*

38

The
ple,

ALPHA

ALPHA-edit
when

you

menu

1:

Getting

menuis“skipped

press

NEW

before

typing

Started

any

in

the

over”

whenitmakesnosensetodisplay

SOLVE

characters.

menu, and

when

you

press

it—for

in

exam­the

Table

1-2

describes

insert

keyisnecessary—characters

the

keys

for

editing

alphabetic

are

insertedatthe

information.

cursor

position.

No

Key

DEL

(L=~

==

o)

i

ALPHA

(&)

CLR

Example:

dioactive
are
separated
the

Editing

decay

usedtoidentify

fromitbyacolon.)

equal

sign.

Table

Deletes
Moves

the

again,

moves

Moves

the

Moves

the

Moves

the

again,

moves

Displays

Backspace;

Clears

the

equation

1-2.

Alphabetic

ALPHA-Edit

the

characteratthe

cursortothe

the

cursor

cursor

one

positiontothe

cursor

one

positiontothe

cursortothe

the

cursor

the

ALPHA

erases

calculator

the

Radioactive

equations.

menu.

Keyboard

the

charactertothe

line.

enteredonpages37and38DECAY.

They

Also

Editing

Description

cursor

left

sideofthe

one

display

right

sideofthe

one

display

Decay

precede

delete

Menu

position.

widthtothe

widthtothe

Keys

Equation.

the

Keys

display;

left.
right.

display;

leftofthe

the

equation

spaces

when

left.

when

right.

cursor.

Name

before

pressed

pressed

the

(Names

and

and

ra-

are

after

Keys:

EDIT
ABCDE
ABCDE
ABCDE

ALFHA

D
E
c

Display:

-KxT
D-KxT
DE-K=T
DEC-K=T

1:

=

LHCN+N@2

=

LHCH+H&>

=

=

Getting

LHCH+=HA2>

LMCH+N@>

Started

39

ABCDE

WXYZ

A

¥

DECA-KXT

DECAY-KXT

=

LNC(N+N@>

=

LN{(N+NB&>

ABCDE

EXIT

Solving

Press
cay

Example:

sequoia

of
of
gramofcarbon.

OTHER

->

€ALE

equation

tree

this

woodis15.3

wood

from

!

=

(four

times)

DEL

an

Equation

to

display

enteredonpages37and

8.

868y

KTN

Carbon-14

Dating.

exchanges carbon with

counts

the

centerofthe

The

rate

1C,is1.20x10~%How

Keys:

Display:

the

menu

per

constant

oldisthe

DEL

of

N0

Wood

its

minute

tree

for

DECRY

:-KXT

DECAY:-KxXT

DECAY:-KXT=LN{(H+N@>

Enters

variables

the

for

edited

the

38.

on

the

outer

environment.

per

gramofcarbon.Asample

yields

the

radioactive

tree?

Whatisthe

10.9

counts

Description:

=

LNC(N+N@&>

=

LN(N+N@&>

equation.

radioactive

surface

The

of a

giant

radioactivity

per

minute

formofcarbon,

half-lifeof14C?

de-

per

1.28(E](=)

K

10.9

153

H

NB

T

40

1:

Getting

4

K=.080801

N=18.9086

NB=15.3000

T=2,825.7583

Started

Stores

rate

Stores

activityattime

Stores

initial

Calculates

in

years.

constant.

activity.

age

of the

T.

tree

Calculate

the

material

1

H

2

No

the

half-life

(t.,)of14C,

presenttodecay.

N=1.8600

NB=2.0000

that

is,

the

N=1

ratio

t=tl/z.

Stores

time

is

N/Ny,

required

derived

=

Nj.

from

%2

for

when

half

the

¥

T=5,776.2265

Calculates

Displays

menu.

half-life.

the

SOLVE

1:

Getting

Started

41

2

Keyboard

Numeric

The

The
lineofthe
when

Calculator

The
as

erases

Calculator

calculator

menu

MAIN

16.2785

25.800808

calculator

MEAN=124,68.

the

2

[=]

MAIN

line

label

would

Arithmetic

Functions

lineisalmost

display,

labels

are

displa

Py

line

can

Pressing

and

continues

calculate

Line

always

and

present.

B7crc)

>

-

B(VAIN]

contain

an

124.60

and

present.Itoccupies

moves

messages

the

to

the

top

25.

8888

OLD

NEW

and

labeled

operatorornumeric

calculation.

plus

2.

For

the

lineofthe

Calculator

/

=CH

%

numbers,

function

example,

bottom

display

CHG

menu

such

key

pressing

line

Arithmetic

The

following

42

2:

Keyboard

Operators

keystrokes

Arithmetic

illustrate

and

simple

Numeric

arithmetic

Functions

operations.

Keys:

Display:

Description:

54.69
=)

750

(]

5

B4

360

28.33

12(=]

(=]

(=)

53,0200

9,000.0000

25.0000

625.0000

BVAIN]6()

3

(=]

Chain

Chain
after

Calculations

calculationsdoa

each

operation.

systemofoperator

Keys:

216.0000

Display:

sequenceofoperations

Chain

calculations

priority

describedinthe

Addition.

Multiplication;
number
startsanew

Division;
erator

continues

Exponentiation.

B

before
essaryinthe
display.

without

evaluate

expressions

next

section.

Description:

pressing

key

after

calculation.

pressinganop-

key

after

(=]

the

calculation.

is

unnec-

MAIN

pressing

using

a

(=]

=]

the

750

360

12(+]

(=]

Operator

Some

chain

For

example,9+

9,000.0000-

25.0000

Priority

calculations

12+3

12

9+—=

2:

Keyboard

=

3

Calculates
value.

Completes

calculation.

mightbeinterpreted

has

two

interpretations:

and

9+

Numeric

13

Arithmetic

several

3

intermediate

the

different

_

Functions

ways.

43

The

sions:

HP-27S

usesasystemofoperator

prioritytoevaluate

expres-

The

HP-27S

you

keyinhas

Calculate

9+13—2

Keys:

9(+]12(+]

3(=]

Calculate4x

4[x]7

3

5

B

(+]

(exponentiation)

(=]
=]

calculatesanintermediate

lowerorequal

:

Display:

9.0000+12,.

13,0000

73

plus5x

4.00808x7,8888"

1,372.0000+

1,372.0000+5,0000x%

priority.

0000+

72

plus

6.

Highest

Lowest

result

Description:

Pressing
9+12;
priority

(7]
than

Calculates4x

(x]
than

priority

priority

when

the

than

has

(x].

has

higher

(+].

[+]

[+]

higher

next

does

has

[+].

priority

operator

not

add

higher

priority

73.

78]

6

Ifacalculation
tent

(=]

with

2

requires

operator

multiplication),

44

2:

Keyboard

~B0BA+5,

7.00880"2

1,617

1,623.0000

priority

use

parentheses.

Arithmetic

BEOAX

.0060+

that

operationsbedoneinan

(for

example,

and

addition

Numeric

(%]

has

than

[x].

Adds5x

Completes

calculation.

order

before

Functions

higher

priority

72to1,372.

the

inconsis-

Using

Use
they

Parentheses

parenthesestogroup

are

performed.*

in

Calculations

operations

andtospecify

the

orderinwhich

Calculate

Keys:

9+

(J9(+]12))]

(]3[=]

Calculate

__30

85—12

30(+]((J85(-]

12

(J16.9(-]8()]

B

(=]

:

Display:

21.0608

7.0000

X

\V16.9—8

:

30.0PPBB+(85.0080-

30.0000+73.0000

@.4110x

®©.4118x8,9000

@.41109%2.9833

1.2260

Description:

evaluates

parentheses.

Parenthesis
viding30by

evaluates

parentheses.

Calculates

evaluates

30

parentheses.

Calculates

Completes

calculation.

\/8.9.

the

contents

prevents

85.

inside

=

73.

contents

of

di-

of

of

*

Closing
25+

parenthesesatthe

(3x(9+12

(=]isequivalentto25+(3x(9+12))

2:

Keyboard

endofthe

Arithmetic

expression

canbeomitted.

[=].

and

Numeric

For

example,

Functions

45

Reusing

B

LAST

the

copies the

processofdoing.

Previous

previous

The

following

Result

result

intoacalculation

keystrokes

(7]

use[LAST

0821x(18+273.1)=?
2x.0821x(18+273.1)=?
3x.0821x(18+273.1)=?

LAST])

you

areinthe

to

calculate:

Keys:

.0821

2731

2

(x]BLAST]

(=]

CLR

3

B[

LAsT)

=)

Using

The
They

u

number
beriscopied

u

displayedinthe

Registers

HP-27S

are

accessed

n,

wherenisaninteger0through9,copies
in

n

copies

Display:

18

()]J(=]

23.8993

2.8000x23,8993

47,7986

0.0000

71.6979

has10registers

using

the

calculator

with

full

precision.

the

contentsofR,tothe

current

display format.

for

storing

and

[RCL].

linetothe

Description:

First

Second

Clears
prevents
becoming

Third

numbers—R,

designated

calculator

answer.

answer.

calculator

47.7986
last.

answer.

through

the

register.

line.

The

line;

from

Rq.

rightmost

The

num-

number

is

To

The

46

cancel

storeorrecall

following

2:

Keyboard

keystrokes

(27.1+35.6)x1.0823

Arithmetic

after

you've

pressed

useR;andR,to

(27.1+35.6)1.0823

and

Numeric

or [RCL],

calculate:

Functions

press

(¢].

Keys:

Display:

Description:

27.1

35.6

=)

STO

1

1.0823
2

]

RCL

1

B

(ReL]

2

(=)

Clearing
to

cleararegister
vious
accessedbyany

Registers.Tocleararegister,

value

with

B2,

78008

5TO

62,7808

62

.7808x1,8823

67

8682+

RCL

_

&7.BE6B2+62.,70084

Mo

2+e2.7A808

0

&

=M

oD@

=J™0

)

My

O

—

=

store0in

before

the

storingavalue,

new

value.

since

Furthermore,

applicationsorfunctions.

Calculator

awaits

register

number.

Stores

Stores

Calculator

62.7inR;.

1.0823inR,.

awaits

register

number.

Recalls

Recalls

contentsofRj.

contentsofR,.

Exponentiationisdone
before

division.

it.Itis

n

the

registers

unnecessary

replaces

the

are

pre-

not

ArithmeticinRegisters.
tions

that

canbeperformed

Table

(sTO](=]n

(sTO](+]

2:

Keys

B

(%]

Keybnard

2-1.

n

n
n

n

Table

2-1

describes

on

numbers

Arithmetic

New

Number

old

number+displayed

old

number—displayed

old

numberxdisplayed

old

number+displayed

old

number~displayed

Arithmetic

and

the

arithmetic

storedinregisters.

in

Registers

in

Register

number
number
number
number

number

Numeric

Functions

opera-

The

following

keystrokes

use

two

registers

to calculate:

Keys:

1.097

0

25.6671

1

(=]

0

(x]10(sTO][+]

1

1

(=]

1.097

1.097

Display:

x
x

25.6671

35.6671

1.09780

1.8970%x25.6671

28.1568

1.8970

sSTO+_

1.8970x10.0000

1.8978x%x35.6671

39.1268

=

?

?

Description:

Stores

Stores

First

Recalls

and
tion.

1.097inR,.

25.6671inR;.

answer.

contentsofR

startsanew

Calculator
number.

Adds

10tocontents

R;.

ContentsofR;
rightmost

Second

answer.

awaits

replace

number.

calcula-

register

of

You

can

example,
rent

contentsofOLD

48

2:

also

do

2

Keyboard

arithmetic

oLD

by2and

Arithmetic

with

(in

the

the

%CHG

stores

and

values

the

Numeric

stored

menu)

in

variables.

multiplies

productinOLD.

Functions

the

For

cur-

Numeric

Many

of

the
ample,
menus

This
follows:

B

B
®

B

®

B

(see

section

General

Logarithmic
Trigonometric

B

Degrees/radians

u

T

®m

SIN,

B

Angle
Hours.Decimal
coordinates

Probability

mutations

Hyperbolic

Number-altering

parts,

rounding

Functions

numeric

(sine),@[Loc

figure

describes

functions:

functions:

and

COS,

TAN,

and

coordinate

(CONVERT

functions:

(PROB

and

functions

are

(base10logarithm).

2-1onpage

eachofthe

\/;

angle

angle

ASIN,

50).

x?,

1/x,%,and

LN,

e¥,

functions:

modes.

ACOS,

numeric

LOG,

conversions:

hours/Hours.Minutes

menu).

factorial,

menu).

inverse

functions:

(PARTS

random

hyperbolic

absolute

menu).

visibleonthe

Others

functions,

%CHG

10*.

ATAN.

degrees/radians,

Seconds,

number,

functions

value,

integer

keyboard—for

areinfunction

categorized

(percent

change).

polar/rectangular

combinations,

(HYP

menu).

and

fractional

ex-

as

per-

Base

conversions

2:

are

coveredinchapter

Keyboard

Arithmetic

and

3.

Numeric

Functions

49

OLD

°/o

NEW

1D

BASE

)

)

[_][_J[j

HG

PARTS

=

L

Cunfaales

OFF

ME!

SHOW

()

FP

Figure

RND

ABS

2-1.

Numeric

XCORD

Function

| |

SINHlTANH

COSH

—

TVM

‘ACOSH'

ASNH

“TIME

_JL)

YP

CONVERT

W

MODES

N

LAST

>DEG

| |

YCORD

>RAD

Menus

PRINTER

R

>HR

l

A

—

>HMS

l

D/R

ATNH

MORE

I

MORE

50

2:

Keyboard

Arithmetic

and

Numeric

Functions

General

Functions

@],
lator

Keys:

B[z,

line.

45@=)

SWi/x[+]

B/

(=]

125@y*]

3W/sE]

B(vAIN]
(=?]

Percent.

B

When
operator

B

B

When
rightmost
number

and@[1/x]

You

do

not

Display:

6.7082

4

B.3333+0.2500

8.5833

5.00

5.9

34.8100

The

[}(%]function

thereisonly

preceding

divides

+

the

or—precedes

number

preceding

actonthe

rightmost

needtopress[}when

performs

one

number

the

rightmost

rightmost

the

asapercentage,

the+or

in

the

numberisanything

number

rightmost

and

—.

number

menu

Description:

\V45.

Calculates1=~

Calculates

125.

No

needtouse

(x?]inMAIN

two

different

calculator

by

100.

number,

returns

in

labels

are

cube

display.

operations:

line,orwhen

but+or

[j[<

interprets

that

percentofthe

the

calcu-

absent.

3,1=4.

root of

[§j

before

the

the

—,

Keys:

85.3

B

(=]

200

B

(=)

(x]

(-]

25

27

Display:

85.3000x0.,2700

22.8310

200

.0000-50.0000

156,

0008

2:

Keyboard

Arithmetic

Description:

Divides27by

Calculates

Calculates

Completes

calculation.

and

Numeric

27%

25%

the

Functions

100.

of

of

85.3

200.

51

Percent

percent

change
ables—OLD,
additional

change.

between

NEW,

information

The%CHG

two

and

%CH.

about

menu

numbers.

If

necessary,

using

does

calculations

The

menu

contains

refertopage

variablesinmenus.

based

three

29

on

for

the

vari-

Calculate

Keys:

B

(>:CHG]

291.7

316.8

Todoa

tion,

menu

OLD

NEW

%CH

percent

you

variablesonpage

12Xthe

65

12

80

[(sT0]

oLD

45

(sT0]

%CH

NEW

the

must

number

[x]

percent

difference

Display:

OLD=291.70086

NEW=316.800808

#“CHANGE=8.60847

change

use

calculationinthe

with

29).

45%

larger

The

780.0000x

780.0000%x580.0000

750.0000x45,

780.0000%x116.0000

between

the

menu

following

than

0000

80.

291.7

and

Description:

Displays

Stores

Stores

Calculates
change.

middleofa

key

(see

keystrokes

Stores80in

Stores45in

116is45%

80.

316.8.

%CHG

OLD.

NEW.

percent

chain

the

rules
calculate65X

OLD.

%CH.

larger

menu.

calcula-

for

using

than

(=]

52

2:

Keyboard

90,480.0000

Arithmetic

and

Numeric

Completes

calculation.

Functions

the

Logarithmic

The

logarithmic

line.

You

do

labels

are

absent.

Functions

functions

not

needtopress[before

use

the

rightmost

number

and

in

when

the

calculator
the

menu

Table

Natural
Natural

multiplying

Show

Keys:

47.5

(=)

47.5
(=]

Keys

@]
@[N]

@[N]

68.3

B

that

@(LN]

68.3

Trigonometric

Trigonometric
Radians—determine
trigonometric
assumes
Degrees.MinutesSeconds).InRadians
in

radians.

that

and

all

2-2.

Logarithmic

Function

antilogarithm.@[10*]

logarithm.

numbersisequivalenttoadding

Display:

3.8687

3.8687+4,2239

3,244,2508

3,244

Mode.

angles

,2500

and

Angle

The

how

numbers

coordinate

are

measuredindecimal

two

conversion

Keys

@

Functions

trigonometric

are

Functions

Base10antilogarithm.

L0oG]

Base10logarithm.

Description:

Natural

Natural

Natural
the

Compare
result.

interpreted

functions.

mode,

Function

logof47.5.

logof68.3.

antilogarithm

sum.

to

modes—Degrees

when

Degrees

degrees

all

angles

are

logarithms.

previous

and

using

the

mode

(rather

than

measured

of

2:

Keyboard

Arithmetic

and

Numeric

Functions

53

The

radians
trigonometic
stackorin

To

change

1.

2.

3.

the

PressB[MODES

Press
annunciator.

Press

[(EXIT].

annunciator

mode

does

variables.

trigonometric

],

bsR.Check

then

RAD
not

for

indicates

change

mode:

HORE

the

Radians

numbers

presenceorabsenceofthe

mode.

storedinthe

Changing

history

radians

the

Thereisa

7.

Pressing

rent

Find

display

the

surface

second

B[~

format.

area=4xr?):

Keys:

4

[x)

B~

45

B+

(=]

Trigonometric
rightmost
imal

numberinthe

degreesorradians,

Keys

SIN

coS
TAN

bR

keyinthe

returns

areaofa

Display:

the

sphere

12-digit

4.8000x%3.1416

12.5664%20,

254.,4690

Functions.

Table

2-3.

The

calculator

depending

Trigonometric

Function

sine

cosine
tangent

CONVERT

valueof=,

with

radius=4.5

2500

trigonometric

line.

Angles

on

the

Functions

Keys

B(AsIN

B

Acos]

BI[ATAN]

menu.

displayedinthe

Description:

Displays

Surface

inches.

current

.

areainsquare

functions

are

interpretedindec-

angle

Function

arc

sine

arc

cosine

arc

tangent

inches

use

mode.

cur-

(surface

the

54

2:

Keyboard

Arithmetic

and Numeric

Functions

If

@

the

RAD

voDES]

annunciatorison

MORE

DOs,R

to

(indicating

set

Degrees

Radians

mode.

mode),

press

Keys:

15

1

60

(=)

.35

[[ACOS

(-]

.62

B(Acos)

(=]

Angle
in

lator

the

Menu

>DEG

>RAD

>HMS

and

CONVERT

line.

>HR

Hour

Table

Key

Display:

B.2588

2.7321

69.5127-51.6839

17.8288

Conversions.
menu.

2-4.

To

degrees;

decimal

To

radians;

to

its

To

hours;
seconds-decimal
to

decimal

To

hours-minutes-seconds;
hours
mal

They

Angle

seconds

and

converts

degree

converts

radian

equivalent.

converts

hours

(or

degrees)tohours(degrees)-minutes-seconds-deci-

format

The

use

the

Hour

the

equivalent.

the

numberafrom

the

number

seconds

(or

degrees)

(H.MMSSss

angle

rightmost

Conversion

Function

number

from

format

format.

converts

or

Description:

Sineof15°.

Calculates1+

Arc

cosineof.35

arc

cosine

and

fromaradian

hours(degrees)-minutes-

(H.MMSSss

the

D.MMSSss).

of

.62.

hour

conversion

numberinthe

Functions

valuetoits

decimal

number

degree

or

D.MMSSss)

from

tan

minus

calcu-

value

decimal

60°.

are

2:

Keyboard

Arithmetic

and

Numeric

Functions

55

Angle

radians

in

Keys:

1.79

B-(=

@(CONVERT]

>DEG

90.2015
>HR

>DEG

Angleindecimal

degrees

>HMS

Angle

D.MMSSss

format format

Display:

5.6235

28,3375

(D.d)

in

>RAD

>HR

Decimal

7HMS

hours

(H.h)

Hours

H.MMSSss

Description:

in

SHR

Calculates

Converts

to

degrees.

1.797

Converts90degrees,
minutes,15seconds
decimal

degrees.

1.79.

radians

20

to

25.2589

>HMS

@

(SHow]

56

2:

Keyboard

25.1532

FULL

25.153284

Arithmetic

PRECISION

and

IS:

Numeric

Converts
format.

25

32.04

Exits

to

D.MMSSss

degrees,15minutes,

seconds.

the

CONVERT

menu.

Functions

Polar

and

pageofthe
ing

between

Rectangular

CONVERT

polar

and

Coordinate

menu

providesasetofvariables

rectangular

Conversions.

coordinates.

The

second

for

convert-

The

angleisinterpreted

mal

degreesorradians.
between
MODES

Degrees
menu;

Store

and

Store
and

and

see

XCOORD

YCOORD

R

A

<

accordingtothe

The

menu

Radians

page

53.)

R/y

\

%

wno—>

modes.

(x-coordinate,

current

contains

(The

Displays

[Displays

B,R

same

Displays

Displays

y-coordinate)

angle

mode—deci-

for

key

appearsinthe

R*

A.*

xcooao*l

YCOORD'

switching

*

Calculates

T

Calculates

bothRandA.
both

XCOORD

2:

Keyboard

and

YCOORD.

Arithmetic

and

Numeric

Functions

57

Convert

the

rectangular

coordinates

(10,—15)topolar

coordinates.

Keys:

Display:

B(CONVERT]

MORE

If

the

RAD

annunciatorison,

10

XCORD

15

Todocoordinate

¥CORD

R

&

in

conjunction

12.734+9.231+the

12.734

9.231

25

R

45

£

XCOORD=18,080808

YCOORD=-15.00800

RADIUS=18.8278

£=-56.,3893

conversionsinthe

21.9650+

21.9650+25,

21.9650+45.0000

press

with

the

menu

x-coordinateofthe

0004

Description:

Displays

polar

version

O/R

Stores

Stores

Calculates

Calculates

middleofa

key.

The

following

vector(r=

Stores

Stores

the

/rectangular

variables.

to

set

Degrees

x-coordinate.

y-coordinate.

chain

R.

angle.

con-

mode.

R.

the

angle.

calculation,

keystrokes

25,A=

use

add

45°):

XCORD

(=]

58

2:

Keyboard

21.9650+17.6777

39.6427

Arithmetic

and

Numeric

Calculates

Completes

calculation.

Exits

the

CONVERT

menu.

Functions

x-coordinate.

the

Probability

The

PROB

menu

and

generates

Functions

calculates

sequencesofrandom

combinations,

permutations

numbers.

and

factorials,

Combinations
objects

y
more
items

The

items

number

taken yata
that

than

are

and

canbetaken

onceinthe

not

counted

of

permutationsofx

numberofdifferent

larger

group

of x

items.Noitems

rangement,

and

different

separately.

Store

X

e

Keys:

Display:

Permutations.

time

(C,)is
fromalarger

setofy

items,

The

the

numberofdifferent

groupofx

and

different

separately.

objects

takenyatatime

arrangementsofy items

can

occur

ordersofthe

X,

Y

¢

\

XJY

P

same

CombinationsofX

takenYatatime

PermutationsofX

takenYatatime

numberofcombinationsofx

sets

containing

items.Noitem

ordersofthe

that

canbetaken

more

than

y items

onceinan

are

counted

objects

occurs

same

(P,)is

from

the

ar-

objects

Description:

y

a

W(PrOB]

5

X

3

Y

C

Ri¥

P

RN

2:

X=5.,0000

¥=3.0000

C

X,Y=18.0000

P

¥.Y=60.0000

Keyboard

Arithmetic

and

Displays

Stores

Stores

Calculates

Calculates

Exits

the

Numeric

PROB

the

x.

y.

combinations.

permutations.

PROB

Functions

menu.

menu.

59

Random

Number.

range0< RAN#

Pressing
<

1.*

RAN#

displaysarandom numberinthe

When
clocktogenerateaseed—a
dom
system
number)

can

RAN#ispressed

for

the
number

numbers.

Pressing

0

clock.Tospecifyaparticular

and

press

RAN#

repeatarandom number

first

time,

the

HP-27S

that

initiates

RAN#

usesanew

seed,

keyinthe

to

display

the

random

sequencebystoring

seed.

Factorial.
the

calculator

through

Hyperbolic

The

HYP

the

rightmost

Menu

SINH
COSH

TANH

253.

Key

M!

menu

calculates

line.

The

Functions

provides

number

Table

Function

Hyperbolic
Hyperbolic

Hyperbolic

number

the

in

the

2-5.

sine
cosine

tangent

the

factorialofthe

must

hyperbolic

calculator

Hyperbolic

Menu

ASNH

ACOSH

ATNH

rightmost

beanintegerinthe

functions.

line.

Functions

Key

Inverse
Inverse

cosine

Inverse

tangent

uses

the

the

sequenceofran-

seed

from

seed(anon-zero

number.

the

same

number

The

functions

Function

hyperbolic
hyperbolic

hyperbolic

system

the

You

non-zero

on

range

0

use

sine

Keys:

B(HYP]

SINH

540.25

*

The
sequence
son

60

5

ACOSH

numberispart ofasequenceofuniformly

passes

Wesley,

1981).

2:

Keyboard

the

Display:

74,2832

£.985

spectral

Arithmetic

test

[

(D.

Knuth,

and

distributed

Seminumerical

Numeric

Description:

Hyperbolic

Inverse

cosine.

Exits

Algorithms,

hyperbolic

the

pseudo-random

Vol.2,London:

Functions

HYP

sine.

numbers.

menu.

This

Addi-

Parts

The
calculator

of

functionsinthe

Numbers

line.

PARTS

menu

use

the

rightmost

number

on

the

Menu

Keys:

12.3456789

&

B(PARTS]

B

Key

IP

FP

RMD

ABS

RND

(sHow]

Integer
Fractional

part).
Rounds

fiedinthe
rounding

Absolute

(=]

Table

partofthe

the

occursinALL
valueofthe

Display:

12.3457

FULL

12.3456789

FULL

12.3457

2-6.

The

number.

partofthe

number

current

PRECISION

FIX,

PRECISION

PARTS

Function

number

internallytothe

SCI, or

mode).

number.

Menu

(the

ENG

Description:

Entersanine-digit

number.

IS:

Displays

number.

Number
internally.

IS:

number

without

numberofdigits

display

mode

full

is

rounded

its

integer

speci-

(no

precision

of

2:

Keyboard

Arithmetic

and

Exits

Numeric

the

Functions

PARTS

menu.

61

Range

of

Numbers

Figure

2-2
Underflow
warning

Overflow

N

—9.99999999999

illustrates

the

displaysawarning,

and

the

largest

x

10499

—1

x

Figure

rangeofnumbers

followedby0.

positiveornegative

Underflow

~

=

10749

2-2.

Range

0

1x1049

of

Numbers

the

HP-27S

Overflow

number

9.99999999999

can

displays

possible.

Overflow

St

store.

x

10499

a

62

2:

Keyboard

Arithmetic

and

Numeric

Functions

Base

Conversions

and

Base

The

BASE
bases—DEC
nary).
and

performs

the

four

When
highlighted

Arithmetic

menu

(decimal),

The

BASE

the

bases.

you

press[lBAse|,DEC

menu

B8.

[/DEC

Decimal

Switching

Press

oneofthe

base.

The

menu

the

calculator

base

displays

throughF.Exiting

Bases

key
line
the

([EASE|)

HEX

menu

converts

arithmetic

key.

860084

IEFENNEECE

baseisactive

menu

keysinthe

for

the

are

convertedtothe

HEX

menu,

the

HEX

does

operations

(hexadecimal),

numbers

operations

[+],

with

OCT

from

(-],

four

number

(octal),

one

(x],

and

basetoanother

and

[+]inany

baseisactive,asindicatedbythe

BASE

menu

to

switchtoa

new

baseishighlighted,

new

which

menu

allows

restores

base.

youtokeyinletters

DEC

and

SwitchingtoHEX

base.

BIN

numbers

(bi-

of

new

in

A

When

you

switch

from

DEC
numberisdisplayedinthe
sentationofthe
to

DEC

base,
current
only
BIN

display

when

base.

they

decimal

the

full

format.

are

3:

numberispreserved.

decimal

Numbers

usedinan

Base

to

any

other

base,

new

base.

Internally,

numberisdisplayed,

are

truncatedtointegers

arithmetic

Conversions

operationinHEX,

and

the

When

Base

integer

the

partofthe

12-digit

you

switch

roundedtothe

internally

Arithmetic

repre-

OCT,

back

or

63

Ifabinary
rightmost
down

significant

numberislonger

(least

significant)20characters.

to

view

digitsonthe

than21characters,

the

entire

top

line.

number

the

Press§and

in

two

lines

display

then

with

shows

hold

the

the

most

Example:

Converting

doaseriesofbase

Convert

Keys:

125

BIN

oCcT

HEX

Convert

HEX

24

125,

J(BASE)

24FF;¢tobinary

F

F

to

Between

conversions.

binary,

Display:

125.0000

1111181

173

7D

125.00800

octal,

24FF

base:

Bases.

and

hexadecimal

The

following

keystrokes

numbers:

Description:

Displays

menu.
active.

Converts

the

BASE

DEC

base

1257,tobinary

base.

Sets

OCT

base.

1754.

Sets

HEX

base.

1755

7Dq6.

Restores

Sets

HEX

DEC

base.

base.

Keysinhexadecimal
number.

is

125,

=

=

(ExiT)

64

3:

BIN

Base

1p810811111111

9,471.0000

Conversions

and

Base

Converts

base.

Exits
stores

Arithmetic

24FF,,toBIN

BASE

menu;

DEC

base.

re-

Representation

of

Numbers

Decimal
digit
HEX,
asa36-bit,
sign

Negative
of

Keys:

B[

BASE

HEX®

e

Range

The
representedinHEX,
numbers

numbers

exponent.

OCT,orBIN

bit;itis

numbers

the

positive

8738

36-bit

that

Whenanumberisconverted

binary

set

(1)

binary

Display:

2222

FFFFFODDE

-3,7358.08000

of

HEX,

word

size

can

are

stored

base,

number.

for

are

internally

the

integer

The

negative

represented
number.

OCT,

determines

OCT, and

be

convertedtoother

as a 12-digit

partofthe

leftmost

numbers.

and

the

BIN

(most

internallyasthe

BIN

rangeofnumbers

bases,

and

bases.

mantissa

from

its

decimal

numberisrepresented

significant)

2’s

Description:

Converts
hexadecimal

2’s

Negative

number.

8,738,

Complement.

decimal

with

value

bitisthe

Complement

base.

Numbers

that

the

rangeofdecimal

to

can

3­to

be

Table

Base

DEC

HEX

OCT

BIN

3-1.

Largest

34,359,738,367

7FFFFFFFF

377777777777 400000000000

1111111111111

111111111111111111

Range

Positive

3:

Base

of

Numbers

Integer

11

Conversions

for

Base

Conversions

Largest

—34,359,738,368

800000000

100000000000000000

000000000000000000

Negative

and

Base

Arithmetic

Integer

65

When
haltsifyou

you

keyinnumbers

attempttokeyintoo
attempttokeyina
the

HP-27S

If

the

table

TOOBIG.

3-1,

beeps

calculator

line

switchingtoHEX,

in

HEX,

10-digit
after

hexadecimal

the

ninth

containsadecimal

OCT,orBIN

OCT,

many

digit.

or

BIN

digits.

number,

number

base

base,

For

example,ifyou

digit

entry

outside

displays

digit

halts

the

the

entry

and

range

message

in

Keys:

B

(MODES

SCI

0

(INPUT]

W(BASE]

1

@(E]

20

ocCT

DEC

3@E

1123

BE)8

HEX

BVAN)

CLR

B(MODES

FIx

If

the
be
lowedbythe

4

resultofan

representedin36

Display:

TOOBIG

1.E28

TOOBIG-11E1R3088

3.E11-3.E8

B.0000

arithmetic

bits,

largest

(or

operationinHEX,

the

HP-27S

smallest)

number

displays

possible.

Description:

Sets

scientific

1x10720

converted

Restores

3E11

cannot

to

HEX

Exits

BASE

DEC

base.

Clears

cannot

to

OCT

DEC

be

base.

menu,

calculator

displaytofour

places.

OCT,orBIN

the

overflow warning,

format.

base.

base.

converted

restores

line;

decimal

base

be

sets

cannot

fol-

66

3:

Base

Conversions

and

Base

Arithmetic

Arithmetic

The

arithmetic

in

anyofthe
arithmetic.
only.

Operations

Operations

operations

four

bases.

with

(+], (=], (xJ,

All

operations

HEX, OCT,

(#],

use

or

and

2’s

BIN

canbeperformed

Complement

bases

use

integers

When
only

Example:

12F16

Keys:

a

the

+

W(BAsE]

HEX

12F

Calculate

7760

(=)

Calculate

E9A

ocT

(-]

divisioninHEX,

integer

E9A16:

portionofthe

Arithmetic

Display:

(=]

FC39

7760g—43264:

4,041

771l

4326

3432

100g+5g:

OCT,

in

HEX,

,.00800

or

BIN

number

OCT,

base

producesaremainder,

is

retained.

and

BIN

Description:

Sets

Adds
numbers.

Exits

switchestoDEC

(FC916

Switches

(4041,

Bases.

HEX

base.

hexadecimal

HEX

menu,

==

404110)

to

=

7711y).

Calculate

base

OCT

base

100

(=]5(=]

14

Integer

3:

Base

Conversions

and

partofresult.

Base

Arithmetic

67

Compare

the

previous

resulttothe

decimal

division

shown

below:

100

(5]

5

DEC

=]

ocT

Add

5A0;4

HEX

5A0

EXIT

BIN

(+)

1001100

Arithmetic
overflow

number:

HEX

warning

SAAAAAAAA
[J4

(=]

&4

plus

1001100,.

2RO

=)

results

.0080+5.08000

12.8000

14

1811010080080

1611116811068

that

cannotberepresentedin36

and

the

largest

SEC

positiveorsmallest

OVERFLOW
7FFFFFFFF

Converts
decimal

Displays
of

operands

base.

integer

12.8;7inOCT

KeysinHEX
number.

Switches

Calculates
base.

to

bits

Switches

Largest

to

positive

to

portion

base.

base

BIN

base.

resultinBIN

display

negative

HEX

base.

number.

an

EBBBBBBBB

(=]
6CCCCCCCC

=]

68

3:

Base

OVERFLOW
88080B0OB0O

Conversions

and

Base

Smallest
number.

Arithmetic

negative

Statistics

The

STAT

application

tions

using

setsofdata

intoalist,

entered,

B

Calculate

mum,

list.

B

Sort

The

B

Curve
(linear

®

Weighted

®

Summation

The
the

the

you

and/or

the

following

fitting

regression),

number

amount

HP-27S

can:

the

list

mean

of

of

does

one-

called

displays

mean,

range

from

calculations

and

median,

(largest

smallesttolargest

use

estimation

exponential,

and

grouped

statistics—Zx,

lists

you

can

available

memory.

and

number

the

running

standard

minus

smallest)ofthe

two

number

calculations

logarithmic,

standard

Zx2,

2y,

store

and

two-variable

statistics

lists.Asnumbers

total.

Oncealist

deviation,

maximum,

number.

lists:

with

four

and

power.

deviation.

Zy?,

and

Zxy.

their

sizes

are

4

calcula-

are

entered

has

been

mini-

numbersinthe

models—Ilinear

limited

only

by

4:

Statistics

69

Entering

To

enter

the

STAT

STAT

menu.

Menu

When
itemina
there
“prompts”

Keys

CALC

INSR

DELET

NAME

GET

TOTAL

you

enter

particular

arenolistsinmemory,

you

the

application,

Table

Displays
Inserts
Deletes

Names

Switches

Erases

lator

line.

the

STAT

number

for

the

STAT

4-1.

the

numbers

numbers

or

renames

from

the

STAT

application,

first

Application

press[}STAT].

The

STAT

Description

CALC

menu

into

the

list.

from

the

the

list.

one

listtoanother

menu

and

you

list.

This

the

current

item:

Table

Menu

for

doing

statistical

list.

and

displays

listiscalled

listisempty

are

the

viewing

4-1

describes

calculations.

creates

totalinthe

the

the

current

and

new

first

the

the

lists.

calcu-

empty
list.

HP-27S

If

If

there

are
worked
For

When

TOTAL

the

70

with

example,ifthe

the

erases

STAT

4:

lists

most

STAT

menu,

Statistics

ITEMC1O="

alreadyinmemory,

recently.

current

menu

the

menu

press

You
list

ITEM(S512="?

is

displayed,

and

[EXIT].

the

current

willbeviewing

contained50numbers,

pressingadigit

displays

the

list is

the

calculator

the

one

bottomofthe

you

would

key,

[INPUT],

line.Torestore

you

list.

see:

or

Entering
Total

Data

and

Calculating

the

Running

Generally,anew
list

already

ways:

B

Clear
76

B

Createanew,
for

To

enter

1.

2.

contains

the

current

for

additional

additional

data

Keyinthe
During

menu.

Press
an
uated
the

number

(You

expression

and

running

setofdataisstored

data,

you

can

listbypressingB[CLEAR

information).

empty

information).

intoanempty

first

listbypressing

number
entry,

can

restore

list:

or

the

the

¢1r=7?

AAx7S

to

enter

the

(for

example,2.8888x75),

the

resultisentered

total

andaprompt

intoanempty

make

an

empty

ITGET

expression

calculator

STAT

line

menu

/

number.Ifthe

into

the

for

the

list

"%NEW

(for

example,

replaces

by

pressing

Prompt

Calculator

list.

for

calculator

the

The

next

list.Ifthe

availableintwo

[I¥ES

(see

(see

2

the

STAT

[EXIT].)

current

page

page

75).

75

ITEM(1)

line

line

contains

expressioniseval-

HP-27S

item.

displays

ITEMC

TOTAL

=7

Ira

156,

BEE9

\

Running

totalincalculator

4:

Statistics

line

71

3.

Repeat
nizes

4.

Press

Viewing

(a]

and

beginning

affect

the

steps1and2to

the

endofa

to

and

[¥]

move

up

and

endofthe

valueofthe

list

restore

the

Editing

and

down

list.

running

enter

when

STAT

Moving

all
an

the

the

list.

total.

the

data.

itemisleft

menu.

List

[i(a]

and

up

and

down

The

calculator

blank.

@(V]

the

display

list

does

recog-

the

not

Changing

1.

2.

InsertingaNumber.

a

Number.

Use

the

arrow

Keyinthe

correct

1.Ifnecessary,

2,

Use

the

arrow

For

example,toinsertanumber

display

3.

Press

4.

Key

DeletingaNumber.

ITEM(7).

INSR

in

the

value

1.Ifnecessary,

2.

Use

the

arrow

3.

Press

'DELET

To

changeanumber

keystolocate

value

To

insertanitem:

press

keystolocate

to

insertanew

for

the

To

deleteanumber:

press

keystolocate

.

and

to

restore

item

to

restore

and

press

and

item,
and

and

in

the

display

the

(INPUT].

the

STAT

menu.

display

between

the

placeofinsertion.

ITEM(6)

whichisinitially

press

[INPUT].

the

STAT

menu.

display

the

itemtobe

list:

incorrect

and

setto0.

value.

ITEM(7),

deleted.

72

4:

Statistics

Example:

balance
are:

Date

5/31
6/1
6/1
6/2

UpdatingaCheckbook.

was

$267.82.

Transaction

Balance
Deposit
Check
Check

The

Amount

—368.23

transactions

Date

267.82

837.42

—45.36

6/3
6/7
6/10

On

May

for

the

Transaction

Check
Check
Deposit

31,achecking

first10daysinJune

account

Amount

—128.90

—65.35

55.67

Update

Keys:

@B

the

(MODES

FIX

2

B(sTAT]

If

you

wanttopreserve

name

the

list

B(CLEARDATA]

YES

267.82

837.42

checkbook

Display:

and

then

ITEMC1>="

ITEMC(2)="7

TOTAL=267.82

ITEM¢(3)>="

TOTAL=1,1085.24

by

calculating

the

current

press

["GET

the

list,

¥NEW

running

Description:

display

Sets

mal

places.

Enters

application.

skip

the

Clears

Enters

balance.

Enters

balance.

deci-

two

to

STAT

the

next

step.

Instead,

the

list.

beginning

depositon6/1.

4:

Statistics

73

wNo

=z
O

8.

_L__h_

Nzl
=z

([

O

5.67

|

.

(Y]

w
Ol

ut

w|o

0

N

w

2

c

Enters

transactions.

remaining

X

c

=

©

.

(6,1

S

uT

i

ITEM(S)=?

TOTAL=553.87

EXIT

MODES

FIX

Copying

4

a

ITEM(GY»="

List

Line

To

copyanumber

and

press

Naming

Naming
must

To

1.

2.

3.

lists

be

named

name

or

Press

Type

(or

eredonpages36through

Press

from

(INPUT).

and

allows

or

rename

HAME

edit)

[INPUT].

Number

the

listtothe

Renaming

youtohave

cleared

the

the

before

current

name.

more

you

list:

(Typing

40).

Restores

Restores

places.

to

the

calculator

a

List

than

one

can

switchtoa

alphabetic

the

STAT

menu.

four

decimal

Calculator

line,

display

listinmemory.Alist

informationiscov-

the

different

item

list.

74

4:

Statistics

List

names

anyofthe

space.”
others)
For

example,ifmemory

canbeupto22

following

The

first

becomeamenu

CHECKBOOK,

To

view

the

(ExiT).

Switching
(GET)

To

switch

toadifferent

threetofive

pressing

SELECT
¥MEL{|

name

without

Lists

characters

characters:+,—,

characters

label

when

contains

RATEHREA

and

listorcreateanew

6ET

A

MAME

making

three
displays:

CHEC

any

Creating

long

x, =,),(,<,

(some

you

press

lists

named

changes,

and

letters

GET

New

list:

should

>,%,:,=,and

are

to

RATE,

press

NAME,then

Lists

not

contain

wider

switch

AREA,

than
lists.

and

1.Ifyou

2.

Display
tainsamenu

3.

Press
list.

Figure
and

FEBCHECKS,

*

NAME
characters
functions.

haven't

the

STAT

label

the

appropriate

4-1

illustrates

creatinganew

will

accept

cannotbeusedasthe

names

already

menu

for

menu

switching

containing

listname

done

so,

and

press

each

named

key.

between

list,

these

parameterinthe

name

6ET.The

*NEW

two

and

characters.

the

current

list,

plus

displaysanew,

lists

named

naming

However,

Solver

4:

GET

%NEMW

that

names

SIZES

Statistics

list.

menu

con-

empty

JANCHECKS

list.

containing

and

ITEM

these

75

—_—

e

GET

FEEBCH

GET

JAHC

GET

¥NEW

>

do!

e

New

List

(unnamed)

.

—————

<

Can’t

Figure

Clearing

a

Clearinganumber
list

becomes

To

clear

is

named,

name

by

Pressing
retains

available

the

current

the

HP-27S

displaying:

¥E§

the

name,

One-Variable

eh

RERCH

4-1.

Switching

List

list

erases

for

list,

lets

ALSO

displaysanempty,

and

you

Statistics

all

the

other

information.

press[CLEAR

you

choose

CLEAR

willbeviewing

MARCHECKS

Between

data.

Number

The

DATA],

then

memory

whetherornottoclear

LIST

NAME?

nameless

the

list.

empty,

MARCHECK

Lists

usedbythe

¥E§.If

Pressing

named

MAME

the

NO

list.

S

list

the

Press
4-2.

76

All

4:

€ALE

the

Statistics

to

menu

display

keys

the

CALC

except

menu,

'FREST

whichisdescribedintable

use

the

current

list.

Menu

TOTAL

MEAN

MEDN

STDEV

RANG

Key

Table

Calculates
Calculates

the
Calculates
Calculates

viationisa
the

Calculates the
number.

4-2.

the
the

list.

the

the

measureofhow

mean.

The

STAT

sumofthe
arithmetic

median.

sample

standard

difference

MORE

CALC

Description

numbersinthe

mean

(average)ofthe

deviation.*

dispersed

between

the

Menu

the

largest

list.

The

numbers

and

numbers

standard

are

smallest

in

de-

about

MIN

MAX

~

SORT

FRCST

*

The

HP-27S

a

samplingofa

population

placing

that

the

list,

new

mean

Example:

pervisor
takes.

She

out

the

Displays
Displays

Sorts

Displaysaseriesofmenus
number
grouped

calculates

larger,

standard

value

you

process,

into

must

delete

into

the

One-Variable

May

Kitt

randomly

the

smallest

the

largest

the

list

from

smallesttolargest

lists

(curve

fitting,

standard

the

sample

complete

deviation

the

list,

the

listinorder

canbecomputedbycalculating

old

deviation,

standard

set of data.Ifthe

and

then

calculating

mean

from

to calculate

Statistics

wantstodetermine

picks

ten

people,

and

records

155
125

9.25

12.0

the

100

numberinthe

numberinthe

for

calculations

estimation,

summation

deviation,

which

lististhe

the

the

the

standard

list,

calculateanew

new

true

Calculations.

how

observes

number

of

14.75

85

13.0

list.

list.

number.

based

weighted

statistics).

assumes

entire

the

meanofthe

deviation.Ifyou

population

mean

the

listofnumbers

setofdata,

mean,

and

standard

Production

longacertain

each

oneasthey

minutes

required:

11.25

12.25

on

two

and

the

true

original

later
enter

deviation.

su-

process

carry

is

list,

edit

the

4:

Statistics

77

Calculate
display

the

the

longest

mean,

range,

time.

and

Also

standard

name

deviationofthe

the

list

TASK.

times,

and

Keys:

B(s1AT]

If

you

wanttopreserve

name

the

B(CLEAR

YES

15.5

9.25

10

14.75

11.25

12.5

12

8.5
13

12.25

[INPUT]

list

Display:

and

then

ITEMC1)="

ITEM(2)="?

TOTAL=15.5800

ITEM(3)>="

TOTAL=24,7508

ITEMC11)>="

TOTAL=119,008848

the

press

current

GET

list,

*¥NEW

Description:

Enters

application.

skip

the

next

Clears

Enters

Enters

Enters
data.

the

STAT

the

list.

the

first

the

second

the

remaining

step.

Instead,

time.

time.

MEAN

STDEV

RANG

MORE

MAX

78

CALC

4:

Statistics

119.0000

MEAN=11.95000

STDEV=2.2460

RANGE=7.0000

MAX=15,50800

Displays
menu.

Calculates

Calculates
deviation.

Calculates

smallest

Displays

number.

largest

the

CALC

mean.

standard

largest

minus

number.

ITEMC11)="7

Displays

STAT

menu.

MAME

TASK

Statistics

These

statistics

FRCST

B

®

B

When
viously

variable.
describes

*Noerror

menu:

Curve
models.

Summation

Mean

and

grouped

you

created

The

Calculation

Curve

fitting

tion,

summation

Weighted

Grouped
deviation

occurs

dard

deviationisnot

fitting

standard

press

the

mean

standard

ITEMC11>="

Operations

operations

for

the

statistics—Zx,

standard

'FREST,the

lists—one

two

lists

contentsofthese

Table

and

estima-

statistics

use

linear,

deviation

deviation).

for

must

4-3.

Contents
List

the

x-values

Numbers

Numbers

for

non-integer

meaningful.

frequencies,

With

two

logarithmic,

Zx2,

2y,

for

HP-27S

the

x-variable

have

the

lists.

Two-List

Designated

X-Variable

butinmost

lists,

Zy?,

grouped

requires

same

Operations

of

the

Names

Two

and

exponential,

the

Lists

are

availableinthe

Zxy.

data

(weighted

youtospecify

and

one

number

of

items.

Contents
List

Designated

the

Y-Variable

y-values

Weightsofnumbers
frequencies
the

numbers

gerornon-integer).

Frequency
numbers
only*).

occur

cases

the

calculated

for

with

list

and

the

with

occur

grouped

TASK.

power

mean

two

y-

Table

of

the

which

(inte-

which
(integer

and

pre-

4-3

or

the

stan-

4:

Statistics

79

Table

list

calculations

4-4

describes

in

the

more

FRCST

detail.

menu.

The

next

sections

describe

two-

Menu

x-variable
y-variable

CORR

B

MODL
W.MN

G.SD

SIZE

Table

Key

Used

for

vice

versa.*

*

Displays the
is@numberinthe
closely

the
catesaperfect
negative
a

poor

fit.

*

DisplaysM.For

*

DisplaysB.For

Displaysachoiceofthe
Calculates

uesasweights
Calculates

ues)

occurring

values).

Displays

4-4.

The

FRCST

Description

estimation

correlation

data

correlation.Avalue

the

the

the

fits
positive

the

the

weighted

(or

standard

with

number

calculations.

coefficient.

range

—1

the

calculated

correlation,—1indicatesaperfect

linear

linear

MORE

four

meanofthe

frequencies).

deviationofa

the

specified

of

itemsineach

through

closeto0

model,

model,

curve

Menu

Storexand

The

+1

curve.Avalueof+1

thisisthe

thisisthe

fitting

x-values

setofnumbers

integer

list.

calculateyor

correlation

that

measures

indicates

slope.

y-intercept.

models.

using

frequencies

coefficient

the

curve

the

how
indi-

is

y-val-

(x-val-

(y-

¥

Y
X2
Yz
XY

*

Calculated
models

80

4:

Calculates
Calculates the
Calculates
Calculates
Calculates the

using the

(see

Statistics

table

transformed

4-5onpage

l

the

sum
sum

the

sumofthe

the

sumofthe
sumofthe

equations

82).

MORE

(total)ofthe

(total)ofthe

squaresofthe
squaresofthe
productsofthex-and

for

the

exponential,

x-values.
y-values.

logarithmic,

x-values.
y-values.

y-values.

and

power

Linear

Curve

fittingisa

two

variables—x

els

(see

the

correlation

vice

versa.

y

Regression,

statistical

andy.You

figure

4-2).

coefficient.

Linear

Curve

LIN

For

each model,

Fit

Curve

method

can

You

Fitting,

select

can

and

Estimation

for

finding

oneoffour

the

also

a relationship

curve-fitting

HP-27S

estimateyforagivenxand

computes

Exponential

TERP

y

between

M,Band

Curve

mod-

Fit

y=B+Mx

7

Logarithmic

y y

y=B+M

LOG

In

Curve

x

Fit

Figure

4-2.

Curve

y

=BeM~

X X

Power

Curve

Fit

TPUHR

y

=BxM

X X

Fitting

Models

4:

Statistics

81

Table

4-5

describes

the

linear

model,

tions

for

the

exponential,
transformations
regression.

Model

Linear
Logarithmic

Exponentialy=

Power

To

do

1'

Enter
for
same
names.
avoids

From
Press

variable,

unnamed,

Select
displays

If

pressamenu

To

and/or
To

curve

1.

2,

fitting

the

data

the

y-values.

item

(Youdonot

possible
the
[FREST'todisplayamenu

press

the

the

you

needtochange

display

B

do

estimation
Keyinthe
Press

the

modelsinmore

the

calculationiscalled

logarithmic,

that

allow

the

datatobe

Table

4-5.

Curve

Equation

y=B+Mx
y

=B

+

Be

Mx

y=BxM

MInx

Transformation

None

|y

=B

y

versusInx.

Iny=InB+Mx

Inyversus

Iny=InB+Minx

Iny

and

estimation:

into

two

STAT

lists—one

The

two

itemsinan

number

STAT

pressing

y-variablebypressing

FRCST

the

the

in

each

list.

needtoname

confusion

menu,

the

appropriate

[¥EURR"

keytoselectamodel.

curve

calculations:

known

menu

press

menu

models,

fitting

value

key

later.)

BEALEY,

selects

and

results,

for

the

detail.

and power

Fitting

+

MInx

versusInx

Give

the

of

list

menu

it.)

another

the

current

press

HGREY

press

and

press

unknown.

When

curve

fitting

linear

regression.

models

fittedbystandard

Models

x.

use

Constraints

None

x>0

y

>0

x>0,y>0

for

the

x-values

x,y

pair

must

have

both

lists

meaningful

current

then

key.

[HORE

names.

(If

menu

model.

HEGRRY,

its

menu

list,

but

To

the

current

key.

WHODL",

naming

select

The

IR,

key.

uses

Calcula-

linear

and

one

the

the

list

HP-27S

and

then

it

x-

is

4:

Statistics

Example:

a

certain

chemical.

Curve

chemical

When

Fitting

reaction

the

concentrationofthe

X

Concentration

(moles

Y

Rate
(moles per

per

liter-

seconds)

and

dependsonthe

reactionisrun

chemical,

.050

liter)

.00620

Estimation

repeatedly,

the

following

.075

.00941

Calculations.

initial

concentrationofone

varying

rates

are

.10

.0140

.125

.0146

The

only

the

observed:

.20

.0230

rate

of

initial

Assuming
and

slopeofthe

reaction

Keys:

M(sTAT]

If

you

wanttopreserve

name

the

B

(CLEAR

YES

.05
.075

1
125

2

EXIT

NAME

CONC

[INPUT]

PRRY

*NEW

a linear

when

list

relationship,

line.

Use

the

concentration

Display:

and

then

ITEMC1D>="

ITEMCE)

TOTAL=6.55080

ITEM(E)="

ITEMC1)>=?

linear

the

press

=7

calculate

the

correlation

estimationtocalculate

equals

0.09

moles/liter.

Description:

Displays

current

[HGET™

list,

F¥NEW"

skip

the

.

Clears

Enters
data.

Displays

Names

Switchestoa

list.

coefficient

the

rateofthe

STAT

the

next

step.

the

current

the

concentration

the

STAT

the

list

new,

menu.

Instead,

list.

menu.

CONC.

empty

4:

Statistics

83

.0062

00941
014
0146

.023

[INPUT]

ITEM(E)=?

TOTAL=0.8672

Enters

the

rate

data.

RATE

Do

[INPUT]

the

following

ITEM(E)>=7

ITEM(E)="

SELECT

SELECT

model

stepifthe

CORR=8.9898

M=0.1893

CONC=08.8908

X

VARIABLE

¥

VARIABLE

current

Displays

Names

Specifies
ing the

Specifies
ing

the

modelisnot

Selects

Calculates
coefficient.

Calculates

Stores

tion

calculation.

the

STAT

the

list

the

list

x-values.

the

list

y-values.

linear:

the

linear

the

the

CONC

menu.

RATE.

contain-

contain-

model.

correlation

slope.

for

estima-

RATE=8.86113

84

4:

Statistics

Calculates

rate.

the

estimated

Weighted

The

following

standard

...X,

Xy,

Mean

procedure

deviation.

occurring

integerorinteger
standard
integer

To

1.

deviationofdata

frequencies

calculate

Enter

one

weighted

the

for

data

the

(frequency)

both

lists

meaningful

rent

list,

but

From

the

STAT

Press

[/FREST".Designate

x-variablebypressing

listisunnamed,
Designate

the
variablebypressing
message

Press|MORE

To
grouped

indicating

calculate

standard

and

Grouped

The

with

values

fi,

f,,

mean

into

calculates

weighted

weights

(frequencies).

points

...fu.

and/or

two

the

meanisthe

w,,

w,,

x;,

grouped

STAT

lists—one

..w,.

Grouped

x,,

weightsorfrequencies.

must

have

the

same

item

naming

menu,

list

the

names.

it

pressing

containing

the

the

weighted

deviation,

(Youdonot

avoids

press

the

list

the

appropriate

'¥CURR

the

appropriate

current

mean,

press[6.8D0

possible

€ALE,then|HORE

containing

weightsorfrequenciesasthe

model.

press[MN.To

Standard

weighted

Deviation

mean

and

meanofdata

The

weights

standard

...x;,

occurringatnon-negative

standard

for

The

number

number

can

deviationisthe

deviation:

the

numbers
and

in

each

needtoname

confusion

menu

selects

menu

it.)

key.

later.)

the

numbersasthe

key.

(If

the

Ignore

calculate

.

grouped

points

be non-

its

weight

list.

the

current

the

x;,

and

Give

cur-

y-

the

Example:

Data.

Weighted

Your

timesayear.

Mean

manufacturing

Last

year’s

Price/Part

Number

of

Parts

and

Standard

company

purchases

$4.25

250

Deviation

purchasesacertain

were:

$4.60

800

$4.70

900

$4.10

1000

4:

Statistics

of

part

Grouped

four

85

The
price
and

number

occurred.

the

grouped

of parts

Therefore,

standard

for

each

priceisthe

you

can

deviation.

frequency

calculate

both

with

the

which

weighted

each

mean

Keys:

B(sTAT)
If

you

name

B

(CLEAR

YES

4.25

4.6

4.7

4.1

EXIT

NAME

PRICE

GET

¥NENW

250
800

900

1000

[INPUT]

Display:

wanttopreserve

the

list

and

then

ITEMC1>="

ITEM(S)="?

TOTAL=17.6500

(INPUT]

ITEM(S)>=7?

ITEMC(1>="

ITEM(S)>="?

TOTAL=2,950.0000

the

press

current

GET=|

list,

¥NEW

Description:

Displays

skip

the

next

.

Clears

Enters

Displays

Names

the

the

the

the

Switchestoa

list.

Enters

the

(frequencies).

the

STAT

step.

current

numbers.

STAT

list

new,

weights

menu.

Instead,

list.

menu.

PRICE.

empty

NAME

WEIGHT

CALC
MORE

FRCST

86

4:

Statistics

ITEM(S5)="

ITEM(S5)>="

SELECT

X

VARIABLE

Displays

Names

the

the

STAT

list

menu.

WEIGHT.

PRICE

SELECT

Y

VARIABLE

Specifies
the

prices.

list

containing

WEIG

MORE

W.MN

G.SD

Summation

The

FRCST
2Zxy.Zxand
calculations
nated

thex-and

Example:

lowing

Keys:

W(STAT]

If

you

name

Summation

valuesofx:

wanttopreserve

the

list

model

W.MN=4.4314

G.5D=0.2641

Statistics

menu

includes

2y

are

involving

y-variable

Display:

and

then

keys

for

equivalenttothe

only

one

variable,

(see

the

Statistics.

2.345, 3.456,

the

press

4.567.

current

GET

Specifies
the

frequencies.

Calculates

mean.

Calculates

dard

deviation.

calculating

total

following

CalculateZxand

Zx,

(TOTAL)ofeach

the

same

example).

Description:

Displays

list,

skip

the

*NEW

list

containing

weighted

grouped

2y,

Zx2,

list

canbedesig-

Zx2

for

STAT

the

next

step.

stan-

Zy?,

and

list.

For

the

fol-

menu.

Instead,

B

CLEARDATA]

YES

2.345

3.456

4.567

MORE

FRCST

CALC

ITEMCL1>="

ITEMC(4)=7

TOTAL=18.36580

SELECT

X

VARIABLE

Clears

Enters

the

data.

4:

Statistics

current

list.

87

Selects

and

y-variables.

current

listasx-

ZX=10.36889

Zx2=38,30085

Calculates
previous

Calculates

total

TOTAL).

Zx2.

(same

as

4:

Statistics

S

The

The
each
by
are
in
motion

and

ity),orTIME

The
in
The
the

98.

Example:

object
500

1.

2.

3.

Equation

SOLVE

equation

creatingamenu

stored

chapter1(see

solve

number

each

complexityofequations

availabilityofthe

meters?

Press

Type

sary,

Press

application, or

for

any

and

calculated

page

for

free-fall:

DISTRAHCE=YA=TIME-

for

DISTANCE,

when

of

equations

equation

fallin5

DISTAHCE=WExTIME-.,S=G«TIME~Z

see

are

The

Equation

seconds?

(The

[SOLVE],

page36for

€ALE,then

Solver

Solver,

variable.

consisting of

using

29).

For

V0

(velocityatt=0),G(accelerationofgrav-

three

values

you

limited

numeric

of

How

accelerationofgravityis9.8067

then

instructionsonusing

do

these

lets

you

The

Solver

the

the

example,

are

can

store

onlybythe

the

Solver

functionsintable

Motion

long

HEW

keystrokes:

simplifies

variablesinthe

rules

for

you

S=G=TINE™Z

known.

and

amountofavaiable

can

for

Free-Fall.

doesittake

store

equations

menu

can

enter

the

number

interpretisincreased

5-3

foranobjecttofall

and
equation-solving
equation.

variables

the

startingonpage

How

meters/second?.)

(UNPUT].*

the

ALPHA

Values

covered

equation

of

variables

memory.

far

does

(If

menu.)

solve

of

by

an

neces-

*To

type*,prese

W[*].

5:

The

Equation

Soiver

89

Keys:

Display:

Description:

9.8067I&

0

ve

5

TIME

DISTA

How

long

500

DISTA

TIME

During

the
estimates.
solutions.

Entering

To

enter

the

ory,

the

HP-27S

G=9.8067

Yo=0.0000

TIME=5.0000

DISTANCE=-122.5838

doesittake

DISTANCE=-500.0000

TIME=108.8981

iterative

See

solution

page

the

Solver,

press([SOLVE|.If

displays

for

110

for

SOLVE

the

objecttofall

for

TIME,

additional

Application

the

SOLVE

Stores

Stores

Stores

Calculates

meters

Stores

Iterative

500

the

V0.

TIME.

the

meters?

DISTANCE.

solution

TIME.

the

Solver

information

there

menu

displaysaseries

about

arenoequationsinmem-

andamessage:

constant.

the

number

object

iterative

of

falls.

for

of

{MEW>

90

5:

The

Equation

AR

SOLVE

Solver

FOR

NEW

RILTTYR

menu

EQUATION

Typeanew

equation

If

the

plays

equation

the

current

>

list

Current

contains

equation.

equation

oneormore

DISTANCE=YBXTIME-

equations,

.

SXG..

/L

the

HP-27S

dis-

Equationislonger

To

designate

until

Menu

CALC

EDlY.

that

another

equationisdisplayed.

Key

Entering

To

enteranequation:

equationasthe

Table

Verifies
variables.

Displays

rent

equation;

whenitis

Deletes
Displays

equationisinserted

5-1.

the

current

the

ALPHA-edit

longer

the

current

the

ALPHA

also

than22characters.

Equations

than22characters

The

Description

equation

allows

equation

menu

below

current

SOLVE

menu

equation,

Menu

and

displays

and

youtoview

and/or

for

enteringanew

the

previous

cursor

the

its

press

the

menu

for

editing

entire

variables.

equation.

current

(a]or(V]

of

the

equation

equation.

cur-

The

1.

Press

[S0LVE].

2.Ifthe

3.

listisempty,orif
important,goto
place,

use
the

new

bottomofthe
Press

the

step3.To

(a]or[¥]todisplay

equation.

¥todisplay

Pressing

list.

the

locationofthe

insert

the

equationata

the

equation

(4]

or

(Y]

ALPHA

menu.

5:

The

new

that

moves

Equation

equation

willbeabove

to

Solver

isn’t

particular

the

top

or

91

4.

Type
menu
equation
formation

5.

Press

Doing

the

equation.Ifnecessary,

to

correct

that

[INPUT]toenter

Solver

typographical

have

scrolled

about

the

Calculations

ALPHA

the

use

errors

off

the

and

equation.

[¢]

and

andtoview

display.

(See

ALPHA-edit

the

ALPHA-edit

portionsofthe

page36for

menus.)

in-

Press

its

During

ators,

names,

the

If

INVALID

positioned

To

€ALE

variables.

-

verification,

unmatched

etc.Ifthe

menu

of

the

equation

ERUATION

where

solve

foravariable:

1.

Storeavalueinall

keyinthe

2.

Optional:
or

two

value

and

TIME

page

112

3.

To

start

the

Solver

lator

line.

to

verify

the

current

1.

6060

{bI:TH]W[TIME]

Menu

of

variables

DISTANCE=VOXTIME-.SXGXTIME"2

the

Solver

parentheses,

equation

variables.

breaks

number

After

guesses

press

20

for

the

The

any

syntax

and

then

an

error

was

but

and

entering
for

the

the

menu

['TIME"

enters0and

additional

calculation,

findsasolution,

equation

G

for

the equation:

looks

misspelled

passes

valueofnew

oneofthe

verification,

rules,

displays

first

press
all

the

answer.Toenter

key

information

press

the

the

and

display

the

for

syntax

detected.

variables.Tostore

the

appropriate

known

for

the

20asguesses

menu

answerisdisplayedonthe

errors—missing

functions,

variablesissetto0.

the

HP-27S

the

equation

the

illegal

HP-27S

briefly

with

each

menu

values

unknown.

about

each

guesses).

key

for

(step

guess,

For

for

the

1),

example,

TIME

unknown.

the cursor

key.

enter

keyinthe

menu

oper-

variable

displays

displays

value,

one

(see

calcu-

of

0

If

92

5:

The

Equation

Solver

In

most

cases,

deal

withawide

certain
necessary,
).

sionofthe
Works”

calculations,

you

The

Solver

calculationtohelp

(see

page

playedbythe

Clearing

To

clear

the
menu
to

of

variablesisdisplayed.

0.

the

Solver

displaysananswer.

varietyofcomplex

the

Solver

can

halt

these

may

also

display

110)

explains

Solver.

Solver

variablesinan

mathematical

displays

setsofchanging

calculationsbypressing

additional

you

analyze

how

informationatthe

the

to

interpret

Variables

equation,

press[CLEAR

Clearing

variables

However,

conditions.

result.

information

sets

the

any

“How

Solver

During

numbers.

key

conclu-

the

while

them

equal

can

(If

except

Solver

dis-

the

Variables

Viewing

Press

use
sary,
(see

the

use

page

are

¥todisplay

cursor

the

36

cleared

and

movement

ALPHA-edit

for

additional

editing).

If

you've

of

the

without

edited

equation

changing

the equation,

with

the

Editinganequation

*

The

HP-27S

helps

without

equation.

pressing (INPUT],

prevent

when

Editing

the

keystoscroll

and

the

edited

stored

clears

its

lossofan

the

HP-27S

the

equationisedited.

the

Equation

ALPHA-edit

ALPHA

information

press

menu

through

menus

about

to

the

replace

version.Toreturntothe

equation,

press

[EXIT].*

variables.

edited

equation.Ifyou

gives

you

another

make

opportunitytosave

and

cursor.

You

equation.Ifneces-

to

make

any

changes

alpha

entry

and

the

old version

SOLVE

changes

and

press

the edited

can

menu

5:

The

Equation

Solver

93

Naming

an

Equation

Naming
equation
be

<,

enter

an

equation

andisseparated

any

length

and

>,",:;,=,and

the

equation,orit

Equation

e,

FREEFALL:DISTANCE=VAX..,
CALCEDIT

Shared

Ifavariable

is

shared
variable
or

until

affect

No

sharing
containedinmenus
Solver
application.

Solver

appearsinmore

among
remainsinmemory
the

variableisclearedordeleted.

the

stored

occurs

equationisnot

helps

from

can

include

space.

The

canbeadded

name

Variables

those

equations.Avalue

value.

between

outside

shared

you

identify

the

equationbya

any

characters

name

[DELET]

NEL

than

one

untilanew

Solver

the

variables

Solver.

with

it.

The

name

precedes

colon.

except+,—,

canbetypedinas

later

using

TEDIT

Names

X,

you

.

Solver

For

the

equation,

that

storedorcalculated

valueisstoredorcalculated,

Switching

and

menus

built-in

variables

example,avariableNin

variableNin

the

TVM

the

can

+,),

(,

initially

variable

for

that

does

not

a

Example:

Variables.

whereF,C,

1.

Press

2.

Type

3.

Press

4.

Press
display

94

5:

The

Temperature

Convert

F=9xC+5+32

andKare

Conversions

350°Ftodegrees

degrees

M[SOLVE]toenter

the

equation

['NEW

[A]

['€ALEtodesignate

its

menu

Equation

F-C:F=9xC+5+32

and

type

of

variables.

Solver

and

Fahrenheit,

the

Solver

the

equation

Using

Kelvin,

K=C+273.16

Celsius,

application,

[(INPUT].

K-C:K=C+273.

F-Casthe

Shared

using

current

the

equations:

and

Kelvin.

then

equation

[INEWT

16

[INPUT].

.

and