Citizen SRP-285II User Manual

General Guide .................................................3

Turning On And Off ............................................3



Battery Replacement..........................................3



Auto Power-Off Function ...................................3



Reset Operation .................................................3



Contrast Adjustment.......................................... 3



Display Readout................................................. 4



Before starting calculation.............................5

Changing a mode ...............................................5



Selecting an item from display menus ..............5



Using " 2nd " Keys............................................. 5



Cursor ................................................................5



Making corrections during input .......................6



Replay function.................................................. 6



Error Position Display Function ........................6



Memory Calculation ...........................................6



Order Of Operations ..........................................7



Accuracy And Capacity......................................8



Error Conditions ..............................................10



Mode 0 - MAIN ............................................... 11

Arithmetic Calculations ...................................11



Display formats................................................ 11



Parentheses Calculation.................................. 11



Percentage Calculation.................................... 12



Continuous calculation function .....................12



Answer Function.............................................. 12



Logarithm And Antilogarithm...........................12



Fraction Calculation.........................................12



E – 1

Angle Unit Conversion..................................... 13



Trigonometric / Inverse-Tri. Functions ............ 14



Hyperbolic / Inverse-Hyp. Functions ............... 14



Coordinates Transformation............................ 14



Probability........................................................ 14



Other Functions ( X–1, √, X, X 2, ^ ) ............. 15



Unit Conversions .............................................15



Physics Constants ...........................................15



Mode 1 - STAT................................................16

Single-Variable / Tw o-Variable Statistics......... 16



Process capability............................................17



Probability distribution.................................... 17



Linear regression............................................. 18



Correcting data ................................................18



Mode 2 - Base-n.............................................19

Bases conversions ..........................................19



Negative expression ........................................19



Basic arithmetic operations for bases ............20



Logical operation .............................................20



Mode 3 - CPLX ...............................................20

Mode 4 - VLE .................................................20

Mode 5 - QE ...................................................20

E – 2

General Guide

Turning On And Off



To turn the calculator on, press [ ON ] ; To turn the calculator off,
press [ 2nd ] [ OFF ].

Battery Replacement



SRP-285II is dual power system which is powered by one alkaline
battery (GP76A) and a solar cell. If the display becomes dim and
difficult to read (especially when lighting is dim ), the batteries should
be replaced as soon as possible.

To replace batteries :

1) Remove the screws and the back cover.

2) Replace the old batteries and install new ones with polarity in
correct directions, then secure the screws in place and press
[ ON ] to turn the power on.

Auto Power-Off Function



This calculator automatically turns it off when not operated for
approximately 6~12 minutes. It can be reactivated by pressing [ ON ]
key and the display, memory, settings are retained.

Reset Operation



If the calculator is on but you get unexpected results, press [ 2nd ]
[ RESET ] in sequence. A message appears on the display to
confirm whether you want to reset the calculator and clear memory
contents.

RESET : N Y

Move the cursor to " Y " by [  ], then press [ ] to clear all
variables, programs, pending operations, statistical data, answers,
all previous entries, and memory; To abort the reset operation
without clearing the calculator, please choose " N " .

If the calculator is lock and further key operations becomes
impossible, please press [ 0 ] [ DMS ] at the same time to release the
condition. It will return all settings to default settings.

Contrast Adjustment



Pressing the [  ] or [  ] following [ MODE ] key can make the
contrast of the screen lighter or darker. Holding either key down will
make the display become respectively lighter or darker.

E – 3

Display Readout



The display comprises the entry line, the result line, and indicators.

Ind ica tor

Entry line

SRP-285II displays an entry of up to 76 digits. Entries

Entry line

Result line

The following indicators appear on the display to

Indicators

Indicator Meaning

Independent memory

M

Result is negative

–

2nd set of function keys is active.

2nd

Mode selection is active

MODE

Main mode is active

MAIN

Statistics mode is active

STAT

Base-n mode is active

Base-n

Variable linear equation mode is active

VLE

Quadratic equation mode is active

QE

Complex number mode is active

CPLX

Angle mode :

DEGRAD

ENGSCI ENG

Number of decimal places displayed is fixed

TAB

Hyperbolic-trig function will be calculated

HYP

While an operation is executing

BUSY

There are digits to the left or right of the display

 

There are earlier or later results that can be displayed

 

MAIN

74 – 8 ÷ 7

begin on the left ; those with more than 11 digits scroll
to the left. Press [  ] and [  ] to move the cursor
through an entry. Press [ 2nd ] [  ] or [ 2nd ] [  ] to
move the cursor immediately to the beginning or end of
the entry.

It displays a result of up to 10 digits, as well as a

decimal, a negative sign, a " x10 " indicator, and a
2-digits positive or negative exponent. Results that
exceed the digit limit are displayed in scientific
notation.

indicate you the current status of the calculator.

rees,

DEG

ineering or

entific notation

SCI

GRAD

66.



s, or

RAD

Indi cat or

Result line

s

E – 4

Before starting calculation

Changing a mode



Pressing [ MODE ] can enter mode menus. You can choose one of
six operating modes, including "
"

", "

3)CPLX

Give "

2)Base-n

Method 1 : Scroll through the menus using [  ] or [  ] until "

Method 2 : Key in directly the number of the mode, [ 2 ] , to enter

Selecting an item from display menus



Many functions and settings are available on menus. A menu is a list
of options displayed across the entry line.

Give " Pressing [ DRG ] key displays the menu for choosing the
angle setting under MAIN mode " as an example :

Method : Press [ DRG ] to display the menu, and then move the

For menu items followed by an argument value, you can press
[ ] while the item is underlined or enter directly the
corresponding argument value.

Using " 2nd " Keys



To execute the functions marked in yellow, please press [ 2nd ] and
then the corresponding key. When you press [ 2nd ], the "
indicator shown in the display is to tell you that you will be selecting
the second function of the next key you press. If you press [ 2nd ] by
mistake, simply press [ 2nd ] again to remove the "

Cursor



Pressing [  ] or [  ] key can move the cursor to the left or the right.
Hold down any of those keys to move the cursor at high speed.

Pressing [  ] or [  ] can scroll the display up or down while there
are previous entries hidden the display. You can reuse or edit a
previous entry when it is on the entry line.

", "

4)VLE

5)QE

" as an example :

2)Base-n " is shown, then enter the desired mode by
pressing [ ].

the desired mode immediately.

cursor [  ] or [  ] to an item you want. Press [ ]
while the item is underlined.

".

0) MAIN

", "

1)STAT

", "

" indicator.

2nd

2)Base-n

2nd

",

"

E – 5

Making corrections during input



To delete a character at the cursor, make the character underlined
by using [  ] or [  ] to move the cursor, and then press [ DEL ] to
delete the character.

To replace a character, make the character underlined by using [  ]
or [  ] to move the cursor, and then enter a new entry to replace the
character.

To insert a character, move the cursor to the position of the
character where you want to insert, it will be inserted in the front of
the character after pressing [ 2nd ] [ INS ] and entering a new
character.

(Note) : The blinking cursor "  " means the calculator is in insert

mode. On the contrary, the blinking cursor is displayed

To clear all characters, clear all input character by [ CL ] key.



z

z



z



z

as " _ " and it means the calculator is in overwrite mode.

Replay function

This function stores the latest operation executed. After execution
is complete, pressing [  ] or [  ] key will display the operation
from the beginning or the end. You can continue moving the
cursor by [  ] or [  ] to edit it. To delete a digit, press [ DEL ]. ( or,
in overwrite mode, just type over the digit). See Example 1.

The replay function can keep input digits up to 254 characters for
SRP-285II. After execution is complete or during entering, you can
press either [  ] or [  ] to display previous input steps and edit
values or commands for subsequent execution. See Example 2.

(Note) : The replay function isn't cleared even when [ CL ] is

pressed or power is turned off, so contents can be
recalled even after [ CL ] is pressed. However, replay
function is cleared when mode or operation is switched.

Error Position Display Function

When a mathematically illegal calculation is performed, error
position display function will tell you with the cursor where the
error is. Press [  ] or [  ] to move the cursor and then give it a
correct entry. You can also clear an error by pressing [ CL ] and
then re-entered the values and expression from the beginning.
See Example 3.

Memory Calculation

Press [ M+ ] to add a result to running memory. Press [ 2nd ] [ M– ]
to subtract the value from running memory. To recall the value in
running memory, press [ MRC ]. To clear running memory, press
[ MRC ] twice. See Example 4.

E – 6

z

The calculator has ten memory variables for repeated use :

C, X, Y, X1, X2,

variables

A, B, C, X, Y, X1, X2

. See Example 5.

PROG2

PROG1

and

PROG2

and an expression in

. You can store a real number in

PROG1

A, B,

and

* [ P/V RCL ] recalls all variables.

* [ SAVE ] lets you store values to variables.

* [ 2nd ] [ RECALL ] recalls the value of variable.

* [ 2nd ] [ CL-VAR ] clears all variables except

* [ 2nd ] [ CL-PROG ] clears the contents of

(Note) : Besides pressing [ SAVE ] key to store a value, you can

also assign values to memory variable M by [ M+ ] or
[ 2nd ] [ M– ]. However, anything currently stored in
variable M will be deleted and replaced by the newly
assigned value.

Order Of Operations



PROG1, PROG2

PROG1, PROG2

.

.

Each calculation is performed in the following order of precedence :

1) Expression inside parentheses.

2) Coordinates transformation, and Type B functions which are

required pressing the function key before entering, for example,
sin, cos, tan, sin –1, cos –1, tan –1, sinh, cosh, tanh, sinh –1,

–1

, tanh –1, log, ln, 10 X, e X, √, NEG, NOT, X'( ), Y'( )

cosh

3) Type A functions which are required entering values before

pressing the function key, for example, x
g.

2

, ,!,X–1, %, r,

4) Exponentiation ( ^ ), X

5) Fractions

6) Abbreviated multiplication format in front of variables,π,

RANDM, RANDMI.

7) ( – )

8) Abbreviated multiplication format in the front of Type B

functions, 23, Alog2, etc.

9) nPr, nCr

10) x ,

11) +, –

12) AND, NAND

13) OR, XOR, XNOR

14) Conversion( Ab/

• When functions with the same priority are used in series,
execution is performed from right to left.

d

/e, F D, DMS )

c

e X ln120 Æ e X { ln (120 ) }

otherwise, execution is from left to right.

E – 7

• Compound functions are executed from right to left.

• Anything contained within parentheses receives the
highest priority.

Accuracy And Capacity



Output digits : Up to 10 digits

Calculating digits : Up to 24 digits

In general, every reasonable calculation is displayed up to 10 digits
mantissa, or 10-digits mantissa plus 2-digits exponent up to 10

Numbers used as input must be within the range of the given
function as follow :

Functions
sin x
cos x
tan x

Deg :

Rad :

Grad :

< 4.5 x 10

x

< 2.5 x 10

x

< 5 x 10

x

Input range

10

deg

8

π

rad

10

grad

± 99

.

however, for tan x

Deg :

≠ 90 (2n+1)

x

π

≠

(2n+1)

x

2

≠ 100 (2n+1), (n is an integer)

x

≤ 1

100

< 1 x 10

≤ 230.2585092

100

< 1 x 10

< 5 x 10 99

99

< 1

–99

≤ x < 1 x 10

100

100

100

< x < 100

< x ≤ 230.2585092

100

< 1 x 10 50

100

< 1 x 10

, x ≠ 0

–1

sin

x, cos

–1

tan

x

sinh x, cosh x

tanh x

–1

sinh

x

–1

cosh

x

–1

tanh

x

log x, ln x

10 x

e x

x

x 2

x -1

x !

Rad :

Grad :

–1

x

x

x

x

x

x

1 ≤ x < 5 x 10

x

1 x 10

–1 x 10

–1 x 10

0 ≤ x < 1 x 10

x

x

0 ≤ x ≤ 69, x is an integer.

E – 8

P (x, y)

R (r, θ)

DMS

x y

x

y

nPr, nCr

STAT

100

22

< 1 x 10

y+x

0 ≤ r < 1 x 10

：│θ│

Deg

：│θ│

Rad

：│θ│

Grad

100

4.5 x 10 10 deg

<

8

π

2.5 x 10

<

5 x 10 10 grad

<

rad

however, for tanθ

：│θ│≠

Deg

Rad：│θ│≠

Grad

│DD│, MM, SS.SS ＜ 1 x 10

0 ≤ MM, SS.SS

x

x > 0 : –1 x 10

90 (2n+1)

π

(2n+1)

：│θ│≠

< 10

2

100 (2n+1), (n is an integer)

100

100

< y log x < 100

100

,

x = 0 : y > 0
x < 0 : y = n, 1/(2n+1), n is an integer.

100

but –1 x 10

y > 0 : x ≠ 0, –1 x 10

< y log ⏐x⏐ < 100

1

100

<

x

log y < 100

y = 0 : x > 0
y < 0 : x = 2n+1, 1/n, n is an integer. (n≠0)

1

100

but –1 x 10

0 ≤ r ≤ n, n ≤ 10

< 1 x 10

x

1–VAR : n ≤ 40, 2–VAR : n ≤ 40
FREQ. = n, 0 ≤ n < 10
1–VAR mode.

σx,σ

log ⏐y⏐ < 100

<

x

100

, n,r are integers.

100

,

< 1 x 10

y

100

y,x,y,a, b, r : n≠0 ;

100

: n is an integer in

Sx, Sy：n, n≠0, 1

E – 9

Base–n DEC :

Error Conditions



Error message will appear on the display and further calculation
becomes impossible when any of the following conditions occur.

DOMAIN Er

DIVIDE BY 0

OVERFLOW Er

STAT Er

SYNTAX Er

NO SOL

MULTI SOLS

NO REAL SOL

LENGTH Er

OUT OF SPEC

To release the above errors, please press [ CL ] key.

– 2147483648 ≤ x ≤ 2147483647
BIN :
10000000000000000000000000000000 ≤ x ≤
11111111111111111111111111111111 ( for neg ativ e)
0 ≤ x ≤ 01111111111111111111111111111111
(for zero, positive)
OCT :
20000000000 ≤ x ≤ 37777777777(for negative)
0 ≤ x ≤ 17777777777 (for zero or positive)
HEX :
80000000 ≤ x ≤ FFFFFFFF (for negative)
0 ≤ x ≤ 7FFFFFFF ( for zero or positive)

(1) When specifying an argument to a function

outside the valid range.

(2)

value (in

FREQ

non-integer.

(3) When USL value < LSL value

You attempted to divide by 0.

When result of function calculations exceeds
the range specified.

When in MAIN, CPLX, VLE, or QE mode, press
[ DATA ] or [ STATVAR ].

(1) Input errors are made.
(2) When improper arguments are used in

commands or functions that require
arguments.

There is no solution or infinite to the
simultaneous equation under VLE mode.

There is no real solution to quadratic equation
under QE mode.

An entry exceeds 84 digits after implied
multiplication with auto-correction.

You input a negative CPU or CPL value, where

X–USL

=C

PU

,

σ 3

1–VAR

PL

stats) < 0 or

LSL–X

=C

σ 3

E – 10

Mode 0 - MAIN

10

or less than 10

E – 11

-9

are displayed in

(

n

F0123456789

(for engineering).

ENG

3

.

and the

F

Arithmetic Calculations



z

Arithmetic operations are performed by pressing the keys in the

same sequence as in the expression. See Example 6.

z

For negative values, press [ (−) ] before entering the value. See

Example 7.

z

For mixed arithmetic operations, multiplication and division are

given priority over addition and subtraction. See Example 8.

z

Results greater than 10

exponential form. See Example 9.

Display formats



z

Decimal places formats are selected by pressing [ 2nd ] [ TAB ] to

display the menu. To set decimal places to

value directly or press [ ] key while the item is

enter a

n

underlined. (The default setting is floating point notation

value is • ). See Example 10.

n

z

Even if the number of decimal places is specified, internal

calculation for a mantissa is performed up to 24 digits, and the

display value is stored in 10 digits. To round off those values to

the specified number of decimal places, press [ 2nd ] [ RND ].

See Example 11~12.

z

Number display formats are selected by pressing [ 2nd ]

[ SCI/ENG ] to display the menu. The items on the menu are

(for floating point),

Press [



then press [

(Note) : The engineering format is similar to the scientific format,

except the mantissa can have up to three digits left of
the decimal, instead of only one, and the exponent is
always a multiple of three. It is useful for engineers to

z



z

z

convert units based on multiples of 10
You can enter a number in mantissa and exponent form by [ EXP ]
key. See Example 14.

Parentheses Calculation

Operations inside parentheses are always executed first.
SRP-285II can use up to 13 levels of consecutive parentheses in
a single calculation. See Example 15.

Closed parentheses occurring immediately before operation of the

] key may be omitted, no matter how many are required.

[
See Example 16.

( for scientific), and

SCI

] or [  ] until the desired formats is underlined, and

]. See Example 13.

FLO

),

z

A multiplication sign " x " occurring immediately before an open
parenthesis can omitted. See Example 17.

(Note) : The calculator can auto-correct abbreviated

multiplication in front of all functions, except memory

z

z



z



z

z



z



z



Fraction value display is as follow :

variables, left parenthesis, type B functions.
Henceforth, abbreviated type will not be used in this manual.
See Example 18.

The correct result cannot be derived by entering [ ( ] 2 [ + ] 3 [ ) ]
[ EXP ] 2. Be sure to enter [ x ] 1 between the [ ) ] and [ EXP ] in
the below example. See Example 19.

Percentage Calculation

[ 2nd ] [ % ] divides the number in the display by 100. You can use
this key sequence to calculate percentages, add-ons, discounts,
and percentages ratios. See Example 20~21.

Continuous calculation function

The calculator enables you to repeat the last operation executed
by pressing [

22.

Even if calculations are concluded with the [ ] key, the
result obtained can be used for further calculation. See Example

23.

Answer Function

Answer function stores the most recently calculated result. It is
retained even after the power is turned off. Once a numeric value
or numeric expression is entered and [
result is stored by this function. See Example 24.

(Note) : Even if execution of a calculation results in an error,

Logarithm And Antilogarithm

The calculator can calculate common and natural logarithms and
anti-logarithms using [ LOG ], [ LN ], [ 2nd ] [ 10

x

]. See Example 25~27.

[ e

Fraction Calculation

∪

56

] key for further calculation. See Example

however, Answer memory retains its current value.

5 / 12

Display of

5 /12 Display of 56

5

12

5

12

] is pressed, the

x

], and [ 2nd ]

E – 12

z

To enter a mixed number, enter the integer part, press [ A b/c ],
enter the numerator, press [ A
enter an improper fraction, enter the numerator, press [ A
enter the denominator. See Example 28.

z

During a fraction calculation, if the figure is reducible, a figure is
reduced to the lowest terms after pressing a function command
key ( [ + ], [ – ], [ x ] or [

b

d

/

[ 2nd ] [ A
improper fraction and vice versa. See Example 29.

z

To convert between a decimal and fractional result, press [ 2nd ]

D ] and [ ]. See Example 30.

[ F

z

Calculations containing both fractions and decimals are calculated
in decimal format. See Example 31.

Angle Unit Conversion



z

The angle units (
display the angle menu. The relation among the three angle units
is :

/e ], the displayed value will be converted to the

c

DEG, RAD, GRAD

Angle conversations ( See Example 32.

1. Change the default angle settings to the units you want to
convert to.

b

/c ], and enter the denominator ; To

] ) or the [ ] key. By pressing

) is set by pressing [ DRG ] to

=πrad = 200 grad

180

°

) :

b

/c ], and

2. Enter the value of the unit to convert.

3. Press [ DMS ] to display the menu. The units you can select
are

(degrees), ′ (minutes), ″ (seconds), r (radians), g

°

(gradians) or

DMS (Degrees-Minutes-Seconds).



4. Choose the units you are converting from.

5. Press [

z

To convert an angle to
converts an entry to
represents 1 degrees, 30 minutes, 0 seconds. See Example 33.

z

To convert a
(minutes),

] twice.

notation, select "

DMS

notations, i.e., where

DMS

notation to decimal, select °(degrees), ′

DMS

(seconds). See Example 34.

″

DMS

" which

1°30′0″

E – 13

Trigonometric / Inverse-Tri. Functions



SRP-285II provides standard trigonometric functions and inverse
trigonometric functions - sin, cos, tan, sin
Example 35~37.

(Note) : When using those keys, make sure the calculator is set

for the angle unit you want.

Hyperbolic / Inverse-Hyp. Functions



SRP-285II uses [ 2nd ] [ HYP ] to calculate the hyperbolic functions
and inverse- hyperbolic functions – sinh, cosh, tanh, sinh

–1

and tanh



Pressing [ 2nd ] [ R P ] displays a menu to convert rectangular
coordinates to polar coordinates or vice versa. See Example
40~41.

Rectangular Coordinates Polar Coordinates



z

. See Example 38~39.

(Note) : When using those keys, make sure the calculator is set

for the angle unit you want.

Coordinates Transformation

x + y i = r (cos

(Note) : When using those key, make sure the calculator is set

for the angle unit you want.

Probability

Pressing [ PRB ] displays the probability menu. See Example
42~46. With the following functions :

Calculates the number of possible permutations of n item

nPr

taken r at a time.

Calculates the number of possible combinations of n

nCr

items taken r at a time.

Calculates the factorial of a specified positive integer n ,

!

Generates a random number between 0 and 1.

RANDM
RANDMI

≦

where n

Generates a random integer value between two specified

integers, A and B, where A

69.

–1

, cos –1 and tan –1. See

θ

+ i sinθ)

≦

random value ≦ B

–1

, cosh –1

E – 14

Other Functions ( X–1, √, X, X 2, ^ )



z

The calculator also provides reciprocal ( [ x –1 ] ), square root

√

] ), universal root ( [ X ] ), square ( [ x 2 ] ) and

( [
exponentiation ( [ ^ ] ) functions. See Example 47~50.

Unit Conversions



z

The calculator has a built-in unit conversion feature that enables
you to convert numbers from metric to English units and vice
versa. See Example 51.

1. Enter the number you want to convert.

2. Press [ 2nd ] [ CONV ] to display the menu. There are 7

menus, covering distance, area, temperature, capacity,
weight, energy, and pressure.

3. Use the [

appropriate units menu is shown, then [

4. Pressing [

unit.

Physical Constants



z

You can use a number of physical constants in your calculations.
See table below :

] [  ] to scroll through the list of units until a



] or [  ] can convert the number to another



].

Symbol Meaning Value

Speed of light in vacuum

c
g Acceleration of gravity 9.80665 m.s
G Gravitational constant 6.6725985 x 10

299792458 m / s

–2

–11

N.m 2 kg
Vm molar volume of ideal gas 0.0224141 m 3 mol
NA Avag adro's n umber 6.022136736 x 10 23mol –1
e Elementary charge 1.6021773349 x 10
me Electron mass 9.109389754 x 10
mp Proton mass 1.672623110 x 10
h Plank's constant 6.626075540 x 10
k Boltzmann's constant 1.38065812 x 10
R Gas constant 8.3145107 J / mol

F Faraday constant 96485.30929 C / mol

mn Neutron constant 1.67492861 x 10

µ Atomic mass constant 1.66054021 x 10

ε

Dielectric permittivity 8.854187818 x 10

0

µ

Magnetic permittivity 0.000001257 H / m

0

Flux quantum 2.067834616 x 10

φ

0

a

Bohr radius 5.2917724924 x 10

0

µB Bohr magneton 9.274015431 x 10

µN Neutron magnetic moment 5.050786617 x 10

–31

–27

–34

–23

J.K

z

–27

–27

–12

–15

–24

–27

E – 15

–1

k

kg

kg

–19

kg

kg

J.s

F/m

Vs

–11

Azm

J / T

–2

C

–1

m

2

To insert a constant at the cursor position ( See Example 52.

1. Press [ CONST ] to display the physical constants menu.

2. Press [

3. Press [

] until the constant you want is underlined.



].

Mode 1 - STAT

There are three menu operations in statistics menu :
analyzing data in a single dataset),
data from two datasets ) and
Example 38.

Single-Variable / Two-Variable Statistics



Step :

1. From the statistics menu, choose
press [

2. Press [ DATA ] and there are three menus:

LIMIT–SET, DISTR

[

3. Enter an x - value and press [

4. Enter the frequency (
mode) or the corresponding y - value ( in
and press [

5. To enter more data, repeat from step 3.

6. Press [ 2nd ] [ STATVAR ] and scroll through the statistical
result menus by [
you want. ( See table below )

Variable Meaning

Number of the x values or x-y pairs entered.

n

or Mean of the x values or y values

Xmas or Ymax
Xmin or Ymin

or Sy Sample standard deviation of x values or y

Sx

σ

or

x

Σ

or

x

].

].

].



Maximum of the x values or y values

Minimum of the x values or y values

values.

σ

Population standard deviation of x values or y

y

values

Σ

Sum of all x values or y values

y

2–VAR

( for clearing all datasets). See

D–CL

. Please select

FREQ

] or [



S

x

=

x

=σ

DATA–INPUT

].



) of the x - value (in

] to find out statistical variables



)xx(

−

∑

1n

−

2

)xx(

−

∑

n

E – 16

1–VAR

( for analyzing paired

or

1–VAR

2

,

Sy

,

2–VAR

DATA–INPUT

and press

2–VAR

∑

=

∑

y

=σ

mode )

−

n

) :

( for

and

1–VAR

2

)yy(

−

1n

−

2

)yy(

,

2

Σ
Σ

Process capability



2

Σ

or

x

x y

Sum of all x 2 values or y 2 values

y

Sum of (x z y) for all x-y pairs

Step : ( See Example 53~54. )

1. Press [ DATA ] and there are three menus :

LIMIT–SET, DISTR

].

[

2. Enter an upper spec. limit value (
press [

3. Enter a lower spec. limit value (
press [

].



].

. Please select

X LSL

4. Enter the datasets you want under

5. Press [ 2nd ] [ STATVAR ] and scroll through the statistical
results menu by [
variables you want. ( See table below )

] or [

] to find out process capability





DATA–INPUT

LIMIT–SET

or

X USL

or

Y LSL

DATA–INPUT

and press

Y USL

), then

mode.

Variable Meaning

or

Cax

Capability accuracy of the x values or y values

Cay

,

or

Cpx

Potential capability precision of the x values or y

Cpy

values,

,

or

Cpkx

(Note) : When calculating process capability in

Probability distribution



Minimum (CPU, CPL) of the x values or y values,

Cpky

where C
precision and C
capability precision
C
C

x

and y n are independent with each other.

n

is upper spec. limit of capability

PU

is lower spec. limit of

PL

= Min (C

pkx

= Min (C

pky

PUX

PUY

, C
, C

PLX

PLY

) = C px(1 – C
) = C py(1 – C

2–VAR mode, the

)

ax

)

ay

Step : ( See Example 55. )

1. Based on the datasets in
there are three menu :
Please choose

2. Enter a

3. Press [ STATVAR ] and scroll through the statistical results

a

menu by [
variables you want. (See table below)

and press [ ].

DISTR

value, then press [ ].

x

] or [





mode, press [ DATA ] and

1–VAR
DATA–INPUT, LIMIT–

SET, DISTR

] to find out probability distribution

,

), then

.

E – 17

Variable Meaning

Test value

t

Represent the cumulative fraction of the

P ( t )

R ( t )

Q ( t )

Linear regression



Step : ( See Example 56. )

1. Based on the datasets in
and scroll through the statistical results menu by [
to find out

2. To predict a value for x (or y) given a value for y (or x), select
the x ' (or y ' variable, press [
and press [

Variable Meaning

Linear regression y-intercept

a

Linear regression slope

b

Correlation coefficient

r

Predicted x values given a, b, and y vales

x '

Predicted y value given a, b, and x value.

y '

Correcting data



Step : ( See Example 57. )

1. Press [ DATA ].

2. To change x - values or the frequency of the x - value in

1–VAR

mode ), please choose

standard normal distribution that is less than the
value t

Represent the cumulative fraction of the

standard normal distribution that lies between
the value t and 0. R ( t ) =1 – ( t )

Represent the cumulative fraction of the

standard normal distribution that is greater than
the value t Q ( t ) = | 0.5 – ( t ) |

mode, press [ STATVAR ]

2–VAR

, or r.

a, b

] again. (See table below)

=

r

∑∑ ∑∑

−

ay

=

'x

b

bxa'y +=

mode ( or the corresponding y - value in

DATA–INPUT

], enter the given value,

b

=

−

∑∑∑

)yxxyn(

−−

. To change upper spec.

] or [



−=xnby

a

−

∑∑∑

−

∑∑

2222

))y(yn)()x(xn(

∑∑

)yxxyn(

22

))x(xn(

2–VAR

]



E – 18

limit value, or lower spec. limit value, please choose

. To change ax, please choose

LIMIT–SET

3. Press [

4. To change an entry, display it and enter the new data. The

(Note) : Even you exit STAT mode, all data in

] to scroll through the data you have entered.



new data you enter overwrites the old entry. Press [
[

] to save the change.

2–VAR mode are still retained unless you clear all data

by selecting

D–CL mode.

DISTR

.

] or



1–VAR and

Mode 2 - Base-n

Bases conversions



The number system (10, 16, 2 , 8 ) is set by pressing [ 2nd ] [ dhbo ]
to display the menu, making one of the items underlined followed

]. A corresponding symbol – " d ", " h ", " b ", " o " appears

[
on the display. (The default setting is
Example 58.

(Note) : The total range of numbers handled in this mode is 0, 1,

2, 3, 4, 5, 6, 7, 8, 9, /A, IB, IC, ID, IE, IF. If values not
valid for the particular number system are used, attach
the corresponding designator (

Binary base (

Octal base (

Decimal base (

Hexadecimal base (

Pressing [
binary base which exceeds 8 digits. The system is designed to
display up to 4 blocks. See Example 59.



z

message will appear.

) : 0, 1

b

) : 0, 1, 2, 3, 4, 5, 6, 7

o

) : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

d

) : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, /A, IB, IC, ID, IE,

h

IF

] can use block function to display a result in octal or

Negative expression

In binary, octal, and hexadecimal bases, the calculator represents
negative numbers using complement notation. The complement is
the result of subtracting that number from 10000000000 in that
number's base by pressing [ NEG ] key in non-decimal bases.
See Example 60.

: decimal base). See

d

d, h, b, o), or an error

E – 19

Basic arithmetic operations for bases



z

The unit enables you to calculate in number base other than
decimal. The calculator can add, subtract, multiply, and divide
binary, octal, and hexadecimal numbers. See Example 61.

Logical operation



Logical operations are performed through logical products (AND),
negative logical (NAND), logical sums (OR), exclusive logical sums
(XOR), negation (NOT), and negation of exclusive logical sums
(XNOR). See Example 62.

Mode 3 - CPLX

z

Complex mode enables you to add, subtract, multiply, and divide
complex numbers. See Example 63.
operation are displayed as follow :

Re Real value Im Imaginary value
ab Absolute value ar Argument value

The results of a complex

Mode 4 - VLE

Variable linear equations (VLE) mode can solve a set of
simultaneous equations with two unknowns as follows :

z

In VLE mode, you just enter each coefficient ( a, b, c, d, e, f ) in
the correct order, and the calculator automatically solves for
See Example 64.

a x + b y = c
d x + e y = f, where x and y are unknown.

x, y

Mode 5 - QE

Quadratic equations (QE) mode can solve a equations as follows :

z

In QE mode, you just enter each coefficient ( a, b, c ) in the correct
order, and the calculator automatically solves for all x values.
See Example 65.

2

a x

+ b x + c = 0, where x is unknown.

.

E – 20