HP 25 Owner's Handbook Manual

"The

success

if

we

offer

and

provide lasting value,

variety

of

and

our

customers superior products

useful

prosperity

services, both

of

and

Statement

our

company

that

before

are

supported

and

of

Corporate

will

be

assured

that

fill

real

after

sale."

Objective

Hewlett-Packard

only

needs

by a wide

s.

When Messrs. we

offered

offer

more

some

aT

Since

we

over

700,000

astronauts,

one

than

me

wOrla s

introd

mountain

Hewlett

world-wide.

and housewives.

of

our

Each to

solve

out a working

HP

calculators

(Cover

pocket

the

problems

lifetime.

background

superior

3,000

most

uced

our

and Packard

product

quality

alscernlng

first

Their

founded

, an

audio

products, designed

customers.

pocket

calculator

owners

climbers, businessmen, doctors,

calculators

its

owner

is

precision

can

expect

fill real needs. And they

courtesy

of

NASA)

our

oscillator.

include

crafted and

to

encounter

provide

company

and

in 1972,

Nobel

lasting

in 1939,

Today

, we

built

we've

sold

laureates

students

designed

through-

value .

for

, ,

HEWLETT

iJ PAC

KARD

HP-25

Owner's Handbook

August 1975

00025-90001 Rev. C 8175

Printed in U.S.A

©

Hewlett-Packard

Company

1975

Function Key Index

Manual RUN Mode. PRGM-RUN

FUnction keys pressed they are pressed.

Input

from

the

numbers

keyboard

and answers are displayed.

switch

execute

I

PAGM..aJ

RUN

individual

set

to

functions

RUN.

as

[@Fixed display.

Followed by a key , selects fixed point

(page26).

~

Scientific

Followed by a key, selects notation

(page

@@

Engineering display. Followed by a number engineering display

~

Prefix key. Press before to

select printed keyboard above function

(page13)

• Prefix key. Press

before

to

select printed

slanted face function (page13).

00

Mean. Calculates

mean (average) numbers

Ell

in

storage register

R,

(page

mJ

x Exchanges of X-and V-registers (page

37)

notation

scientific

display

27)

.

key , selects

notation

(page

function

in

gold

key

.

function

in

blue

of

key

totaled by

67).

exchange

contents

.

number

display

display. number

28).

key

on

the

key

on

of

the

y.

~

Percent.

x%

o Standard deviation.

Calculates standard deviation numbers

Ell

registers R3 R,

(page

mJ

down stack displayed X-register (page

00

Calculates of

the

display

EStore

number

by displayed storage specified. Followed by

arithmetic

key,

register (page

_Recall.

by

number

value

register

into X-register (Page

Calculates

of y (page

usi ng

totaled

in storage

through

68)

Roll

down

contents

for

viewing

36).

Reciprocal.

reciprocal

number

(page

. Followed

key , stores

number

register

performs

arithmetic

55)

.

Followed

key , recalls

from

storage

(0-7)

the

displayed

54)

.

by

.

. Rolls

of

in

in the

52)

.

in

(0-7)

operator

storage

specified

55)

.

5

[]

Summation

minus.

Subtracts

values

from registers R,

for

Ell

entries

Ell

Sums and V-registers storage registers R3

through

(page

PREFIX

I After

_

that

storage

R3

through

correcting

summation

(page

Summation

numbers

R,

66). I Clear prefix.

~

, •

or

mm

' cancels

key

(page

69)

. in into

,E,

50) .

.

I:mD Copies

number

in displayed X-register V-register

I3mIChange

Changes sign displayed exponent

(page

~

decimal for functions

I

REG

Replaces

storage registers Ro through (page

into

(page

16).

sig n.

of

number

of

10

14)

.

Degrees.

trigonometric

IClear registers.

degree

R,

56).

Sets

mode

(page

59).

contents

with

zeros

X-

or

of

BEnter

After numbers ex (page

~

radians trigonometric functions

[STK]

Replaces X-, Y-, Z-

egisters

r

(page

.Clear

the

register (page

~

grads trigonometric functions

ex

pressing, next

keyed in are

ponents

of

31).

Radians. Sets

mode

(page

Clear

stack

contents

, and T-

with

37)

.

x.

displayed

to

zero

15)

.

Grads.

Sets

mode

(page

ponent.

10

for

59).

.

zeros

Clears

X-

for

59).

ElElC8JEI

Arithmetic (page

[EJ

logarithm. Computes

natural (base of

X-register

~

Raises e

to

in

(page

~

logarithm.

common

(base 10)

displayed

(page

operators

16)

.

Natural

logarithm

e,

2.718 .

value in

displayed

(page

Natural

antilog

(2

.718 .

the

power

63).

logarithm of

63)

.

of

X-register

Computes

value

X-register

displayed

Common

..

)

63).

..

value

~

Common

antilogarithm

10-

to

the number X-register

~

Rectangular coordinate conversion. Converts polar

magnitude

angle

in X-and

registers

of

rectangular coord

inates

~

Polar conversion. Converts x, y

rectangular

coordinates

X-

and

in to

polar

and

angle

~

~[§]

cosine

, and

Calculate

or

cosine, value in X-register

I sin o' I

§J

Arc sine, arc

tangent. Calculate trigonometric function display

(page

~

Integer.

only

.

)

in

integer number X-register truncating portion

(page

I

FRAC I Fraction.

Leaves

only

portion

of

displayed X-register

by

truncating

portion

(page

. Raises

power

of

in

displayed

(page

63)

and

Y-

to

x and y (page

coordinate

placed

V-registers

magnitude

(page

62).

Sine,

tangent.

the

sine,

tangent

displayed

(page

59).

[t304]

arc

cosine

inverse

of

value in

59)

.

Leaves

portion

in displayed

by

fractional

51

).

fractional

number

integer

51).

[KJ

root displayed (page

.

0 of

number

X-register

~

V-register power in

the

X-register

62).

I

ABS

Gives the

val ue

number

I

.H

displayed hours

hours, minutes, seconds

(page

of

E!D

displayed

hours, minutes, seconds

,

decimal degrees

I

LAST

number before operation the

of

X-register

~

Pi.

of

pi (3.14159 into register

in

Computes

of

number

X-register

52).

Computes

in

displayed

(page

Raises

number

to

the

of

the

number

displayed

(page

I

Absolute

.MS I

Converts

X I Recalls

displayed

.

absolute

of

the

displayed

(page

Converts

decimal

or

degrees format

60)

.

value

format

hours

(page

displayed

the

Places value

...

(page

53).

square

in

square

53)

64) .

51).

to

in to

or

60).

into

49).

)

X-

.

in

H P-25 Memory

Automatic

T

Z Y

x{

0,00

0,

[J

G

Sign

,~+--

-

i.

-?

OFF.mmml

X3Y

hId

X;ty

OM

x=y

~

em

HEWLETT

Memory

,

Mantissa

~

,5

& 1 B . 2 S

ON

PRGM.mRUN

sin

cos

INT

FRAC

_H

II

I~II

IT

'+11

LAST X

I~I

·

PACKARD

I~I

'-LJI

+H.MS

" 0

Stack

}

5'''''''

Exponent

I

of

Exponent

10 sign of 10

} Display

I

Storage

tan

'~I

yx

ABS

'-LJl

PAUSE

Program

Automatic

Stop~

'~I

25

Reg

Ro

R 1 I

R2

R 3 I

~

R6

R 7 I I

;"e",

"M

5

-

I I

00 01 13 02 03 04 05 06

"

Registers

Memory

00

13

00

13

00

13

00

13

00

13

00

47

48

49

13

00

13

00

13

00

Programming Key Index

PROGRAM Mode

PRGM-RUN set

Function

recorded

memory. shows memory and (keyboard location function

Active

In

program

three

These keys can

recorded memory.

1

PRGM 1 Clear program. program

GTO 00 and resets

so

operations

at step 00

memory

switch

to

:

PRGM

0IIII

keys are

in

program

Display

program

step

the

number

keycode

row

in row)

key.

keys:

mode

keys are active.

in

program

Clears

memory

instructions

calculator

of

program

(page

RUN

and

of

only

not

to

begin

78).

the

be

Automatic RUN Mode

PRGM-RUN

set to:

Function recorded pressing from the keyboard. Input

and answers are displayed,

indicated.

Pressed keyboard:

1

PRGM calculator operations step 00 memory

1 RIS 1 Run/stop.

execution program. execution is

running

keys may be executed program

from

.1 Resets

so

begin

of

program

(page

78).

Begins

of

a stored

Stops

if

program

(page

PRGM.mIll

at

83).

switch

or

individually

Executed recorded instruction:

[R7SJ

program

(page

RUN

as

except

Run/

execution

83).

part

by

numbers

where

as

a

program

stop.

Stops

of

a

mI:J

Go to.

by

two-d

positions

to

that

of

program

No

instructions

executed

Followed

igit

calculator

step

number memory.

(page82)

6

nu';'ber

are

,

.

mI:J

Go to.

by a

two-digit causes execute instruction specified number

ntinue

co execution from

there

Followed

number,

calculator

the

at

the

step

program

sequentially

(page

to

87).

PROGRAM Mode

Active

keys:

mJSinglestep.

Displays step and

contents

program

(page 81).

1m

Displays step and co previous memory

(page

Back

ntents

81).

number

of

memory

step.

number of

program

step

Automatic RUN Mode

Pressed from Executed as a keyboard: recorded program

mJ

Single

keycode

program

step

executes

step

when

(page

Back

step.

keycode

program

step

displays

contents

when

(page

on

the

execution

step.

number

of

when

displays

92).

number

of

when

are

keyboard

Displays step and current memory pressed; instruction, result, and moves next r,

eleased

1m

Displays step and previous memory pressed;

original

X-register released. No instructions executed

Any key. Pressing any key stops program.

instruction:

to

I

PAUSE

of

Stops execution and of

93).

resumes execution

~§II1C=yl~

of

a

1@~lx=ol~

Conditionals. tests against

-register indicated. If true,

calculator

instruction program If false, next step

I

NOp

Calculator no continues

execution with the

memory

(page 94).

I Pause.

program

for 1 second

displays

X-register,

program

(page

va

lue in

that

or 0 as

executes

memory

calculator

(page

l No

operation.

operation

program

seq

the

instruction

contents

then

Each

x-register

in Y

in

and

uentially

7

84).

step.

skips

90).

in

The HP-25 Means Painless

Programming

Your

HP-25

is

a versatile, handheld

the

uses answers modes

•

That's quence lator.

prior H P-25 calc

To

problem manually,

and

powerful

to

:

Manual

toughest

the of

functions available to

quickly and easily. Programmed

sequence and

then

you wish to solve a

all

there

of

manual

You

can

computer

ulator

see

the

close

and a

and

others

like it.

Manual Problem Solving

To

calculate

can

be

used,

3.1415 ... , and

Ganymede, one miles.

To

Ganymede First,

the Then

bB!33

use the H P-25 to manually , you

slide the

PRGM"

press Display

~bH

II

!±}

Hewlett-Packard

complex

problem solving.

of repeats

the where: A

RUN

mathematical

You

of

problems, choosing

problem solving.

up to

49

different functions as you

that

sequence

particular

is

to

it!

A

pr

ogra

keystrokes

then

execu

programming experience

prog

relationship

programmed

then

use a

surface

d

is

the

of

Jupiter

can

press

calculator

switch

1

3200.

=

110240000.00

te the

rammin

between

program

area

of a sphere,

is

the

surface

diameter

's

12

the

OFF"ON

to

RUN.

~

--

that

g.

solution ,

9

calculate

m

is

progr

of

the

moons

following

1

electronic

logic

problems

work

from

The

automatically

type

is

nothing

remembered

am as

the manual solution to a

let's

to solve the

area,7r

sphere.

, has a

switch to

Di a

meter

Square

calculator

system

step-by-step

the

H P-25

of

often

the formula A =

compute

keys

to

in

either

among

the

correct answer

memorizes

press

problem.

of

as often as

more

than

by the calcu-

as

you like.

is

necessary

solve a problem

same

is

the value

diameter

the

in

order:

ON,

and

of

Ganymede

the

diameter.

compute

through

problem

of

dozen

them,

a se-

7r

of pi,

of

3200

area

slide

that

two

No

for

d

of

.

s

a

2

10 The HP-25 Means Painless Programming

II

f±!} [ 3.14 [

~

r[

3

:'.:2;";1=::6""99::C

="8C=:.7="8:===i,

O

Programmed Problem Solving

If

you wanted the surface areas

repeat

you could might wish to write a sphere from its diameter , instead

each

moon.

To

calculate

write

first the calculator, and finally you the answer.

Writing the Program: nothing more than the series to solve the

Recording the Program: gram into the calculator:

I.

Slide the

(program).

2. Press

Press

3. ing a program, the display gives you information will find l/seful later , but you now.)

the above procedure

the

area

the program, then you must

same

PRGM-RUN

PRG..,

II

a to clear the calculator.

the following keys

The

quantity

Area

of

program

of

a sphere using a program, you should

You

have already written

problem manually.

of

To

record the

switch

in

7To

Ganymede

of

each

that

would calculate

of

run

the program to calculate

keystrokes

order. (When you are record-

can

in

of

Jupiter

12

times .

pressing all the keys for

record

the program into

you would

keystrokes

PRGM~RUN

ignore the display for

square miles.

's

12

moons,

However,

area

it!

A program

execute

of

the

to

PRGM

that

you

of

pro-

you

a

is

II

:}

H3

~

Running

PRGM

.wmJ!J

~

bB bB

These

keys are the same keys you pressed to

solve the problem manually.

the

RUN

Program:

back

to

RUN

Slide

the

and press

PRGM-RUN

in

order

switch

Now

all

you

in

the

value

When

you

is

automatically

same

answer

For

example,

The HP-25 Means Painless Programming

have

to do to

for

its

press ~ the

executed

you

to

calculate

diameter

would

calculate

and

sequence

by

the

have

obtained

the area

the

area

press

of

keystrokes

calculator

of

Ganymede:

of

any

the~

, giving

manually:

sphere

(run /

you

is

stop)

key.

recorded

you

11

key

the

any

Jupiter

Display

13200. 1

32169908.78

program

of

Jupiter

You

key

in

then

press 's

you

the

moon

Press 3200

~

With area

of

its

diameter.

mode and compute,

area

of

Press Display

231

0

~

1

16763852.56

For

the

diameter

3220 miles:

Press

moons

1950~

3220~

Programming a

series

of

the~ key.

The

early manually use gramming, programming. or

programmed

look

at

this

that

makes

HP-25

features

the

simple

as

have

some

Europa, diameter

Display

1

11945906.07

1

32573289.27

the

HP-25 is

keystrokes

portions

the

power

you

will find a

Even

large

handbook

simple

that

power

of

700,000

1

Square

have

recorded,

's

moons-in

have

only

to leave the

diameter

~.

10

For

with a

1

of

example

Square

Area Area

that

easy!

then

handbook

of

the

HP-25;

executes

of

and

this

complete

if

you

have

used computers, .

It

explains

answers

make

your

out programming painless. Hp-25

, you'll

HP

calculator

miles.

you

can

fact,

of

any

calculator

each

sphere

, to

compute

diameter

of

miles.

1950

miles, and Callisto,

of

Europa

of

Callisto in

The

calculator

them

show

you

while in

guide to HP-25

other

you will

the of

want

unique

complex

become

owners

now

calculate

sphere-using

that

you

the

2310 miles:

in

square

remembers

when

you

how

easy

section

calculator

pocket

calcula

to

take a good

HP

logic

problems, and

When

an

apostle

before you.

in

RUN

wish to

surface

miles.

press

it

is

5,

Pro-

system

you

the

to

tors

see

just

Section 1

Getting Started

Your

HP-25

is

You

can

begin using

the

cord and plugging the your HP-2

tery for 6 or

from

power

be

in

the calculator.

To

begin:

• Slide the

shipped fully

from the ac

charger

5 on

battery

hours

first.

supplied by the

PRGM-RUN

OFF-ON

your

adapter/battery

Whether

Display

With

the play two kinds

When

I

0.00

PRGM-RUN

that

you see when you turn the

of

information:

I.

You

2.

see numbers as you key them in.

You

see all intermediate and final

calculated.

you first turn the

I to show you that a

Keyboard

Most

keys

on

the

tion

is

indicated by the symbol on the flat face by the blue symbol on the slanted key face, gold symbol written a

•

To select the function printed

the key, first press the blue prefix key function key.

•

To

se lect the function printed on the flat face

press the ke

•

To select the function printed

press the gold prefix key , then press the function key.

keyboard

bove

y.

assembled,

calculator

into an ac outlet.

power

alone, you should charge the bat-

you

operate

charger

switch P!lGM

switch

OFF~ON

set

to

calculator ON, the display is

ll

zero s are present there.

perform three functions.

the key on the

in

13

including a

immediately by

charger

, the battery

RUN,

calculator

blue on the slanted face

in

gold

to the

If

you want to use

from

battery

mil

RUN

to

ON.

the bright red dis-

ON

answers

of

the key ,

and

calculator

II

, then press the

above

must

a third by the

the key, first

battery

connecting

calculator

power

always

RUN

.

gives you

as they

of

set

One

func-

another

case

the key,

are

.

to

of

14

Getting Started

In this

handbook

appropriate

color

, the

selected

(either gold

To execute this function, first

press , then press

To place this number into the

II

' then press

pressH3'

display,

To execute this function, first

press

key function will

or

blue), like this:

appear

[CJ

Ej3.

EH'

~

in

.

the

Keying

Key in

as though you

point For

Key in 148.84

by pressing

The

in

numbers

must

be

example:

resultant

Numbers

by pressing the

were

writing

keyed

in

if it

the

keys

number

148.84 is

number

on

a piece

is

part

Display

1148.84

Negative Numbers

To

key in a negative

then

press

6mI

(-)

minus change

Press Display

6mI

You ber

in

now

Press Display

6mI

Notice

sign, will a

the sign

1

-148.84

can

change

the display.

in

the display

1 148.84

that only negatiye numbers are given a sign

number

(c

hange

of

the

sign

For

example, to change the sign

back

, press the

sign).

ppear

in

number

of

either

to positive:

The

now

keys in

of

paper.

of

the

number.

seen

in the display.

keys

number, preceded

the

display.

in

the

display:

a negative

or

sequence,

The

decimal

for the

For

number

example,

a positive num-

ofthe

- 148.84

in

the display.

just

,

by a

to

Getting Started 15

Clearing

You

can

clear

any

ram

(clear x).

This

numbers

key

that

erases

are

in

the display by pre ssing

the

number

in

replaces it with 0 .

Press Display

_ 10.00

If

you m

ake

number string by pressing

~

a mistake while keying in a

ED.

Then

key

number, clear

in

the

Functions

In spite board, you will find single, all-encompassing rule: When you press a

the calculator that

key.

of

the

dozens

immediately exec

of

function s avai lable

the

calculator

simple to

operate

utes the f un ction written

on

the

display and

the

correct

the

HP-25 key-

by using a

function

entire

number.

key,

on

Pressing a mealalelY

For

example,

Press

148.84

a

~

To

sq ua

re

Press Display

iii

[ZJ

~

and

[ZJ

keys

that

HP-25

operate

function

perrorm

to calculate

Display

1

148.84

1

148.84

112.20

the result:

1

12.20

1~1~48~.8~4==i

are examples

execute

upon

(except for statistics later).

Function two

keys

numbers.

key causes

mal

asin

either

keys

operate

runcllon

the

of

one-number

the calculator

.

square

gle number. A

one

numb

er

like

BJ

and 0

upon

either

root

of

148.84 merely:

function keys ;

ll

function keys

or

two

numbers

-more

one

number

to

im-

that

is,

in

the

at

a time

about these

or

One-Number Functions

To

use

I.

2. then

For exa key

in

To

calculate

anyone-number

Key

in

the

function

the

function

number

1/4,

number.

use

Press

mple, to

the

function

key

key) .

the

one-number

represented

key

in 4

(the x-number)

(or

press

by

key:

x,

then

the

applicable prefix

function

00

pr~ss

the

and

press

key, you

function

moo.

key

fir

key

,

st

.

Press

4

m

00

Now

try

these

ber

,first

key

25

vTsOO

5

10

..J

3204100 = 11790.00

log 12.58925411

71

2 =

Display

14. 1

4.

10.25

other

one

-number

in

the

number,

= 10.04

=

~15~0.~00

~====:

= 1100000.00

=

~11~.1~0~==~

L":

15:.::.

0

..:..

41

:.:..

.0

::.:

0~_-...-J

Two-Number Functions

Two-number bers

present

and

EJare

cannot numbers the

same

occurs

bers must

When before separate

functions

in

examples

add,

subtract

present

way

when

the

be

in

more

than

performing

the

two

are

functions

order

for

the

operation

of

two-number

, multiply,

in

the

as

calculator.

one-number

function

key

th e ca lculator be

one

number

an

operation,

numbers.

function

then

press

th e

(Use

that

to

be

function

or

divide

Two-number functions-that is

pressed. Therefore

fore

th e

ful1ctiol1 key

must

be

keyed

the

mm

problems.

funr:tion:

the

[iifl

must

ha ve

performed.

keys

unless

there

functions work

is,

the

into

the

key

Remem-

key

.)

two

[±)

because

are

oper

,

both

is presse d.

calculator

is u

sed

num-

G 0

you two

ati

on

nllm-

to

Getting Started 17

Use

the

must

function.

[fyou

key

To

place

operation:

I.

Key

2.

Pr

ess

3.

Key

4.

Pre

ss

For

example,

12

Imm

3

~

The answe Other

arithmetic

Imm

be

in

only

two

in

the

Imm

in

the

r,1

1S.00 I, is

key

keyed into

numbers into

fir

second

function key

you

The Separates The

I ne

whenever

one

numb

st

number.

to

separate

numb

add

12

first

second

tuncllon.

functions

calculator

you

the

first

er.

to

perform

fir

st

number.

displayed.

are

performed

more

never

calculator and

numb

the

er,

and 3 by press

number.

the

than

before

need

number

the

ing:

er

To perform Press Display

12-3

12

x 3

12

-;-

3 12 miim3

The

[LJ

key

numbers

th

When

s

hould

nated

at

2.

3.

4.

you

I.

to use

Key Pres

Key Perform

working

remember

by x on

is

also a two

powers

every

in

the

s miim

in

the

with any

the

1

2lmm3El

12

miim3 0 136.00 I

El

-num

, a

nd

you

other

two-number

first

number.

to

separate

second

number

operation

that

the

function

(press ,then

function

displayed

key symb

ber

can

the

use

first

(power).

1

9.00

14.

00

operation

it in

the

function

numb

key (includin

number

ols .

one

pres

to

press

from

operation.

from

the

same

1

.

It

is

same

key:

er

from

[LJ

).

is al

number

sing a

Imm

perform

the

second.

the

seco

way:

used

simple

the

second.

g 0

ways

to

).

desig-

.

an

nd.

raise

way

you

The

number

displayed

is

always x.

18 Getting Started

So,D means square root

I

. , etc.

displayed Thus,

number

to calculate 3

of

the displayed

6

:

number,[K]

mean s

Press Display

3

Imim

6 16.

o

N ow try the following problems using the 0 key, keeping

13.

00

1

6.

1729.00

X,

the displayed

The

answer.

number, is

now 6.

mind the simple rules for two-number functions:

4

16

812

(16 to the 4th power) = 165536. (81

sq uared) 16561.00

00

(You could also have done this as a one-number function

using 0 ·)

5

225

(Square root

of

225)

115.00

(You

also

could

have

done this as a one-number function by

usingD

16

2

16

25

(2

to the 16th power) = I 65536.00

(4th root

of

16)

,-

I 2_

.0

_0

__

-'

in

·)

Chain Calculations

The

speed and simplicity

Packard logic

culations.

form

only one operation

calculate-the

system

Even

during the longest

Hewlett-Packard automatic memory stack

stores up to four intermediate results inside the

you need them , then inserts them into the calculation.

of

operation

become

most

at

a time, and you see the results as you

of

the HP-25

apparent

of

calculations,

's

during chain cal-.

you

calculator

Hewlett-

still per-

until This

Getting Started 19

system natural paper,

For

If

would

You HP-25, one result

as

but

example,

you

were first

.

and

work

first

makes

Press

12

mmm

3

[±J

and

.

press

mmm

matically number.

To

the

it

would

the

calculator

solve

working

calculate

then

you

through

operation

...

Display

12

1

.

12

1

.00

3

1

.

1

5.00

then solve

to

sto

stores

it ins

continue.

process

be

if

(12 +

the the

would

~

the

at a time.

]

1

I

for

re

the

ide

of

you

(11

working

were

takes

care

3)

x 7.

problem intermediate

I

3t

IS-

mUltiply

x

15

X 7

problem

Intermediate

the

exactly You solve

(12 +

the

final an

intermediate

calculator

through a problem

working

with a pencil

of

result

it

the

x 7 =

the

intermediate

7=

105

the

for

3)

result

swe

r.

result-the

when

out hard

of

same

the

.

You

you

with

pencil

part.

and

paper, you

(12 + 3).

result

way

with

intermediat

don

't need

HP-25 auto-

key

in

the

and

by

7.

the

e

to

Press

7

Display

1

7.

1

05.00

The

intermediate ceding stored key

in

Pres

sing the new result

, givi

operation

ins

ide

the

this

number.

the

function

number and

ng

you

result

is a

utomaticall

calcula

key

the

final

from

the pre-

tor

when

multiplie

intermedi

answer.

y

you

s

ate

20 Getting Started

Now

try

these

problems. Notice that

have

to

press

mImm

to ins

lator-each subsequent number

and

an a

utom

ert a pair

operation

atically

stored

for

each

of

numbers

is

performed

intermedi

problem

into

using a new

ate

result.

you

the

only

calcu-

To solve

(2 + 3)

10

3 (16 -

14

+ 7 + 3 - 2

4

4)

Press

2

mImm

3

El

10

El

16

mImm

4

El

3

o

14

mImm

7

[±]

3

El

2

El

4

El

Display

I

0.50

136.00

1

5.50

Problems same ate and

that

simple ma

results. For exampl

paper, you

are

even

nner

would:

more

, using

e,

complicated

the

automatic stor

to

solve

can

be

(2

+ 3) x (4 + 5) with a

age

solved of

intermedi-

in

the

pencil

(2 + 3) x (4 + 5)

First

solve for the contents

parentheses ....

You

First

of

these

. and then you would multiply the

two intermediate

work

through the problem the

you solve for the intermediate result

Getting Started

answers

same

way

. .

..

and

then

these

parentheses

together.

with the HP-25.

of

(2 + 3)

.

21

for

~

x

(4+

5)

~

Then

add 4

and

5:

(Since you can rate the first

Procedure

~~

perform

must

now

a function, you use the miim key again

number

S- j

Then

multiply the intermediate

answer

:

Procedure

~X...(4

!J x

Notice mediate plied-the

1

5)-

'1

that

you didn't need to write

answers

from inside the parentheses before you multi-

HP-25 automatically sta

12. 1

1

pair

[±]

1'--

answers

1

Display

2.00

5.00

of

9_.0-'-0

_---'

together

45.00

down

cked

Press

2

miim

3

[±]

key

in

another

of

the pair from the second.)

Press Display

4 miim 5

Press Display

0

Intermediate

result.

numbers before you

to

.sepa-

for the final

or key

in

the inter-

up the intermediate

22 Getting Started

results

inside

the

calculator

last-in, first-out No

matter

be

reduced

work

through

use

if

you

For

example

basis

how

complicated a problem

to a series

the

problem

were

working

, to solve:

for

you

when

it

of

one-

in

it

with a pencil

(9 x 8) + (7 x 2)

(4

and

was

time to multiply.

and

two-number

the

same logical

x 5)

brought

may

look,

and

them

it

oper order paper.

out

can

alway s

ations.

you

on a

Just

would

Press

9mm:iD80 7

mm:iD

[±J

4mm:iD50

El

Now

try

you

would

mediate

Display

172 .

00

1

14.00

20

1

86.00

1

20.00

14.

30

these

problems. Remember

with a pencil

answers-they're

and

paper, but

I

ntermediate

Intermediate

(9 x 8)

Intermediate

The

final

ha

ndled

calculator.

Problems

(2 x 3) + (4 x 5) = 1'--

.J(2 + 3)

(,14 + 12) x (18 - 12) _

4 x (17 - 12)

x (4 + 5) +

(9 - 7) - L.C

.fI6.38

-,"---::-c=--- = 1

.05

X 5

.;-

(10 - 5) = 1'-4=

..j(6

+ 7) x

A Word About the HP-25

Now

that

you've

begin

to logic pa Polish

fully

system.

renthesis-free, unambiguous

Notation).

learned

appreci

With

how

ate

the

this

system, you

to

ben

method

use

efits

result

added

to

result

answer.

to

work

don't

worry

automatically

2_6_.0_0

_----'

r:[

:-:-::

7

8

O

-'C

o.::.

.

181.

00

.0

(8

+ 9) =

the

calculator, you

of

the

Hewlett-Packard

enter

number

called

of

(9

x 8).

of

(7

x 2).

(7

x 2).

of

(4 x 5).

through them

about

inter-

by the

-c:--

---,

-=-

0_ ----'

..:....0_----'

1L:2 ___

1._57_---'

s usin g a

RPN

(Reverse

as

can

Getting Started

It

is

this unique system vantages whether gram

or

using the HP-25 under manual control:

• You never ha time.

The

making them more complex.

• Pressing

You fewer keystrokes and less time spent.

HP-25

afun

work naturally through comp licated problems, with

that

you're

ve

gives you all these calculating ad-

writing keystrokes for an HP-25 pro-

to work with more than one function at.a

cuts

problems down to size instead

ction key immediately executes the function.

• Intermedi ate results app ear as th ey are calculate

are no ,. hidden" calculations, and you as you go.

can

check

23

of

d.

There

each step

• Intermediate results are automatically handled. You don't

have to write down long intermediate answers when you work a problem.

• Intermediat e answers are automatically inserted problem on a

remember

•

You

can calculate in the same order you do with pencil

la

st-in, first-out basis. You don' t have to

where

they

are a

nd

then summon them.

into the

and

paper. You don't have to think the problem through ahead

of

time.

The

HP

amply rewarded by the ease with which the HP-25 solves the longest, most complex equations. With few moments

system takes a few minutes to learn. But you'll be

HP

, the

in

of learning yields a lifetime

of

ves tment

mathematical bliss.

of

a

Section 2

Controlling the Display

In

the HP-25 , numbers to only which

app

two

decimal places.

is

ac

tually

ears in the display as

to show you the of

decimal places).

Although a

number places , the HP-25 always ber as a 10-digit mantiss a and a two-digit

example ,

when

you

two decimal place s:

Press Display

2 mm 3 0

However

c...:c1

, inside the calculator all

tiss as and two-digit exponents

calculates using full 10-digit numbers:

2.000000000 x

yields an a

You

these d

nswer

see only t t

.... , i_g_it_s_

. _. _.

in

the display normally

For

in

the calculator as 3.141592654, normally

number

is

normally shown to only two decimal

compute

6

"-".o-'-o_---'

example , the fixed

~

(unless you tell the

rounded to a greater

compute

s internally using

2 x 3, you see the ans

number

of

I O. So the calculator actually

00

10

mm 3.000000000 x

that

is

actually carried to

I 6.00

0000000

x10

oo

---~

__

-----'

appe

or

lesser

exponent

s have

10

digits:

l

.

..

but these digits

are also, present.

ar rounded

const

ant

calculator

number

each

num-

of 10.

wer

For

to only

digit man-

00

0

7T,

Display Control Keys

~

allow s numbers to be di splayed

ISCI I displays numbers

mat,

I

ENG

I displ ays numbers

of

10

shown

in

mUltiples

in

engineering notation, with

of

three (e.g. ,

Display control alters only the ma

displayed by any

of

the HP-25.

the display control keys.

The

actual

in

select, these rounding options affect the display

HP-25 always calculates internally with a full 10-digit

(multiplied by

10

raised to a two-digit exponent) .

in

fixed decimal point for-

scientific notation format, and

exponents

3

6

,

10

-

10

which numbers are

itself

is

not altered

what notation you

No matter

25

nner

number

10

in

9

) .

only-the

number

26

Controlling the Display

Fixed Point Display

Decimal point

Sign~

10-Digit

Fixed Point Display

Using

fixed

point

to

be

shown

0,

followed by a

decimal places (0-9) to which displayed cludes

trailing

l

ator

is

turned tation with the display example:

Press (Turn

the calcul

OFF, then

123.4567

[EJ

mmiD

4

07 00 02

display you

after

the decimal point.

numb

er begins at the left

zeros

wit hin

OFF,

then

ator

ON.)

number

the

ON,

rounded

Display

10.00 1

123.46

1

123.4567

1

123.4567000

1123. 1

1123.46 I

Number

can

key

the

display

setting

it "

to

specify

the

It

is

sel

ected

to specify

is

to

side

of

the

selected.

wakes

up "

two

decimal places.

Display

two

decimal ternally, however number original value

123.4567.

1 1

Normal

number

be

in

of

by

pressing

the

number

rounded.

display

When

the

fixed

point

is

rounded

places.

maintains its

of

FIX

2 displ ay.

places

The

and

calcu-

no-

For

off

In-

, the

of

in-

to

HP 25 Owner's Handbook Manual

Specifications and Main Features

Frequently Asked Questions

User Manual

Contents

Function Key Index

H P-25 Memory

Programming Key Index

Manual Problem Solving

Programmed Problem Solving

Getting Started

Display

Keyboard

Negative Numbers

Clearing

Functions

One-Number Functions

Two-Number Functions

Chain Calculations

A Word About the HP-25

Controlling the Display

Display Control Keys

Fixed Point Display