Citizen SR-281 User Manual

SR-281 / SR-282

Scientific Calculator

General Guide.................................................................................... 2

Turning on or off ..............................................................................2

Battery replacement.........................................................................2

Auto power-off function.................................................................... 2

Reset operation ...............................................................................2

Contrast adjustment.........................................................................3

Display readout................................................................................ 3

Before Starting Calculation.............................................................. 4

Using " MODE " keys....................................................................... 4

Using " 2nd " Keys........................................................................... 4

Corrections ......................................................................................4

Undo function ..................................................................................4

Replay function................................................................................ 5

Memory calculation.......................................................................... 5

Order of operations.......................................................................... 6

Accuracy and Capacity.................................................................... 7

Error conditions ...............................................................................9

Basic Calculations ............................................................................9

Arithmetic calculation..................................................................... 10

Parentheses calculations............................................................... 10

Percentage calculation ..................................................................11

Display notations ........................................................................... 11

Scientific Functional Calculations................................................. 13

Logarithms and Antilogarithms ...................................................... 13

Fraction calculation ....................................................................... 13

Angle unit conversions ..................................................................14

Sexagesimal ↔ Decimal transformation........................................15

Trigonometric / Inverse-Tri. functions ............................................ 15

Hyperbolic / Inverse-Hyp. functions............................................... 16

Coordinates transformation ...........................................................16

Probability...................................................................................... 17

Other functions ( 1/x, ,3,X, x 2, x 3, x y , INT, FRAC ) ........ 18

Unit Conversion ............................................................................. 19

Physics constants.......................................................................... 19

Base–n calculations........................................................................ 24

Bases conversions ........................................................................25

Block Function ............................................................................... 25

Basic arithmetic operations for bases............................................ 27

Negative expressions ....................................................................27

Logical operation ...........................................................................27

Statistical Calculations................................................................... 27

Entering data .................................................................................28

-E1-

Displaying results ..........................................................................28

Deleting data .................................................................................31

Editing data.................................................................................... 32

FULL message...............................................................................32

Complex Calculations..................................................................... 33

General Guide

Turning on or off

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

Battery replacement

SR-281 is powered by two alkaline batteries (GP76A or LR44).

SR-282 is powered two AA-size ( UM-3 ) batteries. If the display

becomes dim and difficult to read, the batteries should be replaced as soon as possible.

To replace batteries :

1) Slide the battery compartment cover in the direction indicated by the arrow and remove it.

2) Remove the old batteries and install new ones with polarity in correct directions, then replace the battery compartment cover and press [ ON/C ].

Auto power-off function

This calculator automatically turns it off when not operated for approximately 6~9 minutes. It can be reactivated by pressing [ ON/C ] key and the display, memory, settings are retained.

Reset operation

If the calculator is on but you get unexpected results, press [ MODE ] [ 4 ] ( 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, pending operations, statistical data, answers, all previous entries, and memory; To cancel the reset operation without clearing the calculator, please choose " N ".

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

-E2-

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.

Display readout

The display comprises two lines and indicators. The upper line i s a dot display up to 128 characters. The lower line is capable of displaying a result of up to 12 digits, as well as 2-digits positive or negative exponent.

When formulas are input and executed the calculation by [ ], they are displayed on the upper line, and then results are shown on the lower line.

The following indictors appear on the display to indicate you the current status of the calculator.

Indicator Meaning

M Running memory – Result is negative E Error STO Storing variable mode is active RCL Recall ing variable mode is active 2nd 2nd set of function keys are active HYP Hyperbolic-trig function will be calculated ENG Engineering symbol notation CPLX Complex number mode is active CONST Display physics constants DEGRAD Angle mode : DEGrees, GRADs, or RADs BIN Binary base OCT Octal base HEX Hexadecimal base ( ) Open parentheses TAB Number of decimal places displayed is fixed STAT Statistics mode is active REG Regression mode is active EDIT Statistics data is being edited CPK CPK : Process capability CP : Precision capability USL Set upper specification limit LSL Setting lower specification limit i Imaginary part

Allow to use undo function

-E3-

Before Starting Calculation

Using " MODE " keys

Press [ MODE ] to display mode menus when specifying an operating mode ( " 1 MAIN ", " 2 STAT ", " 3 CPLX ", " 4 RESET " ) or the engineering symbol notation ( " 5 ENG " ).

1 MAIN : Use this mode for basic calculations, including scientific

calculations and Base–n calculations.

2 STAT : Use this mode to perform single–variable and

paired–variable statistical calculati ons and regression calculations.

3 CPLX : Use this mode to perform complex number calculation.

4 RESET : Use this mode to perform reset operation.

5 ENG : Use this mode to allow engineering calculations utilizing

engineering symbol.

Give " 2 STAT " as an example :

Method 1 : Press [ MODE ] and then scroll through the menus using

[ ] or [ 2nd ] [ ] until " 2 STAT " is underlined, then enter the desired mode by pressing [ ].

Method 2 : Press [ MODE ] and then key in directly the number of the

mode, [ 2 ] , to enter the desired mode immediately.

Using " 2nd " Keys

When you press [ 2nd ], the " 2nd " 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 ] agai n to remove the " 2nd " indicator.

Corrections

If you have made a mistake when entering a number (but you have not yet pressed an arithmetic operator key), just press [ CE ] to clear the last entry then input it again, or delete individual digits by the backspace key [ ], or cl ear all entry by [ ON/C ].

After making corrections, input of the formula is complete, the answer can be obtained by pressing [ ]. You can also press [ ON/C ] to clear the immediate results completely (except clearing memory). If you press the wrong arithmetic operation key, just press the correct key to replace it.

Undo function

The unit offers an undo function which allows you to undo some of the errors you just have made.

-E4-

When a character which is just deleted by [ ], an entry which is just cleared [ CE ], or which is just cleared by [ ON/C ], the " " indicator shown in the display is to tell you that you can press [ 2nd ] [ ] to cancel the operation.

Replay function

This function stores operations that just have been executed. After execution is completed, pressing [ ] or [ 2nd ] [ ] key will display the operation executed. Pressing [ ] will display the operation from the beginning, with the cursor located under the first character. Pressing [ 2nd ] [ ] will display the operation from the end, with the cursor located at the space following the last character. You can continue moving the cursor by [ ] or [ 2nd ] [ ] and editing values or commands for subsequent execution.

Memory calculation

Memory variable

The calculator has nine memory variables for repeated use -- A, B, C, D, E, F, M, X, Y. You can store a real number in any of the nine memory variables.

• [ STO ] + [ A ] ~ [ F ], [ M ], [ X ] ~ [ Y ] lets you store values to variables.

• [ RCL ] + [ A ] ~ [ F ], [ M ], [ X ] ~ [ Y ] recalls the value of the variable.

• [ 0 ] [ STO ] + [ A ] ~ [ F ], [ M ], [ X ] ~ [ Y ] clears the content to a specified memory variable.

(1) Put the value 30 into variable A

¾

30 [ STO ] [ A ]

(2) Multiple 5 to variable A, then put the result into variable B

¾

5 [ x ] [ RCL ] [ A ] [ ]

[ STO ] [ B ]

(3) Clear the value of variable B

¾

0 [ STO ] [ B ]

DEG

30Æ A

30.

DEG

5 ¼A=

150.

DEG

150Æ B

150.

DEG

0 ÆB

0 .

-E5-

[ RCL ] [ B ] [ ]

DEG

B=

0 .

Running memory

You should keep the following rules in mind when using running memory.

• Press [ M+ ] to add a result to running memory and the " M " indicator

appears when a number is stored in the memory. Press [ MR ] to recall the content of running memory.

• Recalling from running memory by pressing [ MR ] key does not

affect its contents .

• Running memory is not available when you are in statistics mode.

• The memory variable M and running memory utilize the same

memory area.

• In order to replace the content of the memory with the displayed

number, please press [ X M ] key.

• To clear the content of running memory, you can press [ 0 ] [ X M ],

[ CE ] [ X M ] or [ 0 ] [ STO ] [ M ] in sequence.

[ ( 3 x 5 ) + ( 56 7 ) + ( 74 – 8 x 7 ) ] = 41

¾

0 [ X M ]

3 [ x ] 5 [ M+ ] 56 [ ] 7 [ M+ ] 74 [ – ] 8 [ x ] 7 [ M+ ]

[ MR ]

0 [ X M ]

(Note) : Besides pressing [ STO ] or [ X M ] key to store a value, you

can also assign values to memory variable M by [ M+ ]. However, when [ STO ] [ M ] or [ X M ] is used, previous memory contents stored in variable M are cleared and replaced it with the newly assigned value. When [ M+ ] is used, values is added to present sum in memory.

DEG

74–8¼ 7M+

M

DEG

M

DEG

0 .

18.

41.

0 .

Order of operations

Each calculation is performed in the following order of precedence:

-E6-

1) Fractions

2) Expression inside parentheses.

3) Coordinates transformation ( P R , R P )

4) Type A functions which are required entering values before pressing the function key, for example, x2,1/x, Ӹ, x!, %, RND, ENG, , , x ', y ' .

X

5) x y,

6) 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, cosh –1, tanh –1, log, ln, FRAC, INT, Ѕ,

3

, 10 X , e X, NOT, EXP, DATA in STAT mode.

7) + / –, NEG

8) nPr, nCr

9) x ,

10) +, –

11) AND, NAND –-- only Base–n mode

12) OR, XOR, XNOR --- only Base–n mode

Accuracy and Capacity

Output digits : Up to 12 digits.

Calculating digits : Up to 14 digits

In general, every reasonable calculation is displayed up to 12 digits mantissa, or 12-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 :

x <

Input range

4.5 x 10 10deg

8

Ӹ

2.5 x 10

10

5 x 10

grad

rad

however, for tan x

Deg :

Rad :

Grad :

sin –1x, cos –1x x

tan –1x

sinh x, cosh x

x <

x

90 (2n+1)

x ≠

π

(2n+1)

x ≠

2

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

x ≠

1

싪

100

1 x 10

230.2585092

싪

± 99

.

-E7-

tanh x

sinh –1x

cosh–1x

tanh –1x

log x, l n x

x

10

x

e

x

2

x

3

x

1/x

3

x

X !

R P

P R

y

x

y

x <

1

싪 x < 5 x 10

x <

1 x 10

–1 x 10

싪

0

x <

싪

0

싪

0

Deg

Rad

Grad

99

5 x 10

99

1

–99

싪

x < 1 x 10

100

< x < 100

100

< x 싪 230.2585092

x < 1 x 10

1 x 10

100

50

2.15443469003 x 10

100

1 x 10

, x ≠ 0

100

1 x 10

x 싪 69, x is an integer.

y+x

r< 1 x 10

Κ

ཎθཎ<

Κ

ཎθཎ<

Κ

22

1 x 10

<

100

4.5 x 10 10 deg

2.5 x 10

5 x 10 10 grad

ཎθཎ<

100

8

Ӹ

rad

33

100

1 x 10

however, for tan x

Κ

Deg

Rad

Grad

90 (2n+1)

ཎθཎ≠

π

Κཎθཎ≠

Κ

ཎDཎ, M, S < 1 x 10

x <

x > 0 : –1 x 10

x = 0 : y

x

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

but –1 x 10

y> 0 : x ≠ 0, –1 x 10

y = 0 : x

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

y

(2n+1)

2

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

ཎθཎ≠

1 x 10

100

, 0 싪 M, S

100

< y log x < 100

> 0

100

< y log ཎxཎ < 100

1

100

<

x

> 0

log y < 100

-E8-

1

100

ab/c

nPr, nCr

STAT

DEC

BIN

but –1 x 10

Input

ΚTotal of integer, numerator and

denominator must be within 12 digits (includes division marks)

Result

ΚResult displayed as fraction for

integer when integer, numerator and denominator are less than 1 x 10

싪

0

r 싪 n, n 싪10

x

1 x 10 50 ,

<

Ӻx,Ӻ

y,x,y,a, b, r : n ≠ 0 ;

Κ

n≠ 0, 1 ; x n = 50 ; y n = 50 ;

Sx, Sy Number of repeats  255, n is an integer.

– 2147483648

싪

0싪 X

01111111111111111111111111111111

log ཎyཎ< 100

<

x

100

, n,r are integers.

y

1 x 10

<

싪

X 싪 2147483647

12

50

(for zero or positive)

10000000000000000000000000000000

싪

X싪11111111111111111111111111111111

(for negative)

OCT

싪

0

X 싪 17777777777 (for zero or positive)

20000000000

싪

X 싪 37777777777

(for negative)

HEX

싪

0

X 싪 7FFFFFFF ( for zero or positive)

싪

80000000

X싪 FFFFFFFF (for negative)



Error conditions

Error message “ E ” will appear on the display and further calculation becomes impossible when any of the following condition occur.

1) You attempted to divide by 0

2) When allowable input range of function calculations exceeds the range specified

3) When result of function calculati ons exceeds the range specified

4) When the [ ( ] key is used more than 13 levels in a single expression

5) When USL

LSL value

<

To release the above errors, please press [ ON/C ].

Basic Calculations

Use MAIN ( [ MODE ] 1 ( MAIN ) ) mode for basic calculations.

-E9-

Arithmetic calculation

Arithmetic operations are performed by pressing the keys in the same sequence as in the expression.

7 + 5 x 4 = 27

¾

7 [ + ] 5 [ x ] 4 [ ]

DEG

7+5¼4=

27.

For negative values, press [ +/– ] after entering the value; You can enter a number in mantissa and exponent form by [ EXP ] key.

¾

Results greater than 10 12 or less than 10

– 5

2.75 x 10

2.75 [ EXP ] 5 [ +/– ] [ ]

= 0.0000275

DEG

2 . 75E–05=

0. 000 02 75

–11

are displayed in

exponential form.

12369 x 7532 x 74103 = 6903680612720

¾

= 6.90368061272 x 10

12369 [ x ] 7532 [ x ] 74103 [

]

12

DEG

12369¼ 7532¼ 7

6. 90368061272

12

Parentheses calculations

Operations inside parentheses are always executed first. SR-281 /

SR-282 can use up to 13 levels of consecutive parentheses in a single

calculation.

Closed parentheses occurring immediately before operation of the [ ) ] key may be omitted, no matter how many are required.

2 x { 7 + 6 x ( 5 + 4 ) } = 122

¾

2 [ ( ] 7 [ + ] 6 [ ( ] 5 [ + ] 4 [ ]

(Note) : A multiplication sign " x " occurring immediately before an

open parenthesis can be omitted.

The correct result cannot be derived by entering [ ( ] 2 [ + ] 3 [ ) ] [ EXP ]

2. Be sure to enter [ x ] between the [ ) ] and [ EXP ] in the below

example.

DEG

2 ¼ (7+6¼ (5+4=

122.

-E10-

( 2 + 3 ) x 10 2 = 500

¾

[ ( ] 2 [ + ] 3 [ ) ] [ x ] [ EXP ] 2 [

]

DEG

(2+3)¼1E0 2=

50 0.

Percentage calculation

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

120 x 30 % = 36

¾

120 [ x ] 30 [ 2nd ] [ % ] [ ]

88 55 % = 160

¾

88 [ ] 55 [ 2nd ] [ % ] [ ]

DEG

120¼ 30%=

36.

DEG

88 55%=

160.

Display notations

The calculator has the following display notations for the display value.

Fixed-point / Floating Notations

To specify the number of decimal places, press [ 2nd ] [ TAB ] and then a value indicating the number of places ( 0~9 ). Values are displ ayed rounded off to the place specified. To return floating setting, press [ 2nd ] [ TAB ] [ • ].

Scientific Notation

To change the display mode between floating and scientific notation, press [ F

E ].

↔

Engineering Notation

Pressing [ ENG ] or [ 2nd ] [ ] will cause the exponent display for the number being displayed to change in multiples of 3.

6 7 = 0.85714285714…

¾

6 [ ] 7 [ ]

[ 2nd ] [ TAB ] 4

DEG

6 7=

0. 857 142857 14

DEG TAB

6 7=

0 . 8 5 7 1

-E11-

[ 2nd ] [ TAB ] 2

Y

µ

[ 2nd ] [ TAB ] [ • ]

[ F↔E ]

[ ENG ]

[ 2nd ] [ ] [ 2nd ] [ ]

DEG TAB

6 7=

DEG

6 7=

0. 85 7142 85714

DEG

6 7=

8. 5 7142 857143

DEG

8 5 7 . 14285 7143

DEG

0. 00 0857 14285

0. 86

–03

03

Engineering Symbol Notation

Each time you specify the ENG mode, a displayed result is automatically shown with the corresponding engineering symbol.

yotta

9

,

nano

zepto

mega

n

z

= 10 24,

M

= 10

= 10 6,

– 9

zetta

Z

kilo

pico

,

– 21

,

K

p

yocto

= 10 21,

= 10 3,

= 10

y

exa

E

milli

m

– 12

,

– 24

= 10 18,

= 10

femto

f

– 3

= 10

peta

P

micro

,

– 15

= 10 15,

= 10

atto

,

a

= 10

tera

T

– 6

,

– 18

= 10 12,

,

giga

= 10

G

Perform the following operation to specify engineering symbol notation.

[ MODE ] 5 ( ENG )

To exit from this mode, press [ MODE ] 5 once again.

6 7 = 0.85714285714…

¾

[ MODE ] 5

6 [ ] 7 [ ]

[ ENG ]

ENG DEG

0 .

ENG DEG

6 7= m

857 . 14 2857143

ENG DEG

µ

8 5 7 1 4 2 . 857143

-E12-

[ 2nd ] [ ] [ 2nd ] [ ] [ 2nd ]

]

[

ENG DEG

K

0. 0008571 4285

Scientific Functional Calculations

Use MAIN ( [ MODE ] 1 ( MAIN ) ) mode for scientific function calculations.

Logarithms and Antilogarithms

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

ln 7 + log 100 = 3.94591014906

¾

[ ln ] 7 [ + ] [ log ] 100 [ ]

102 + e –5 = 100.006737947

¾

[ 2nd ] [ 10 X ] 2 [ + ] [ 2nd ] [ e X ] 5 [ + / – ] [

]

x

], and [ 2nd ] [ e x ].

DEG

l n7 + l o g100

3. 945910 14906

DEG

10 ^ 2+e^ –5=

100 . 006737947

Fraction calculation

Fraction value display is as foll ow :

ω

5

12

Display of

(Note): Values are automatically displayed in decimal format whenever

the total number of digits of a fractional values ( integer + numerator + denominator + separator marks ) exceeds 12.

5

56 Ж 5 ω12 Display of 56

12

To enter a mixed number, enter the integer part, press [ a b/c ], enter the numerator, press [ a b/c ], and enter the denominator ; To enter an improper fraction, enter the numerator, press [ a b/c ], and enter the denominator.

¾

3

7 [ a b/c ] 2 [ a b/c ] 3 [ + ] 14 [ a b/c ]

5 [ a b/c ] 7 [

21

7

]

DEG

7 2 3 + 14 5 7

22

8

5

2

22

14

7 =+

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

] ) or the [ ] key. By pressing [ 2nd ]

5

12

8 21.

-E13-

d

[

/e ], the displayed value will be converted to the improper fraction and vice versa. To convert between a decimal and fractional result, press [ a b/c ].

¾

4

4 [ a b/c ] 2 [ a b/c ] 4 [ ]

[ a b/c ]

[ 2nd ] [

2

d

/

e ]

d

/e]

DEG

4 2 4 =

4

DEG

4 2 4 =

4 . 5

DEG

4 2 4 =

9

DEG

4 2 4 =

4

1 2 .

2 .

1 2 .

9

1

2

5.4

4

4 ===

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

4

8 =+

¾

5

8 [ a b/c ] 4 [ a b/c ] 5 [ + ] 3.75 [

55.1275.3

DEG

]

8 4 5 + 3 . 75=

12 .55

Angle unit conversions

The calculator enables you to convert an angle unit among degrees(DEG), radians(RAD), and grads(GRAD).

The relation among the three angle units is :

180 ° =

1) To change the default setting to another setting, first press [ 2nd ]

[ DRG ] key repeatedly until the angle unit you want is indicated in the display.

2) After entering a value, press [ 2nd ] [ DRG

unit you want is displayed.

90 deg. = 1.57079632679 rad. = 100 grad.

¾

[ 2nd ] [ DRG ]

Ӹ

rad = 200 grad

-E14-

] repeatedly until the

DEG

0 .

90 [ 2nd ] [ DRG ]

[ 2nd ] [ DRG ]

RAD

90O=

1 .57079 632679

GRAD

1 . 5 707963267

100.

Sexagesimal ↔ Decimal transformation

The calculator enables you to convert the sexagesimal figure (degree, minute and second) to decimal notation by pressing [

] or convert the decimal notation to the sexagesimal notation by [ 2nd ] [

].

Sexagesimal figure value display is as follow :



45ʜ30ʜʜ 55

125

(Note) : The total digits of D, M and S and separator marks must be

within 12 digits, or the sexagesimal couldn't be shown completely.

12.755 = 12 45l 18

¾

12.755 [ 2nd ] [ ]

2 45 l 10.5

¾

[

2

l l

] 45 [] 10.5 []

Represent 125 degrees (D), 45 minutes(M), 30.55 seconds(S)

l l

= 2.75291666667

DEG



45l18

12

DEG

2. 75291666667

l l

Trigonometric / Inverse-Tri. functions

SR-281 / SR-282 provides standard trigonometric functions and

inverse trigonometric functions - sin, cos, tan, sin

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

angle unit you want.

sin 30 deg.= 0.5

¾

[ sin ] 30 [ ]

–1

, cos –1 and tan –1.

DEG

sin30=

0. 5

-E15-

2

π

3 cos (

¾

rad) = – 1.5

3

3 [ cos ] [ ( ] 2 [ x ] [ 2nd ] [ π ] [ ] 3 [

]

3 sin –1 0.5 = 90 deg

3 [ 2nd ] [ sin –1 ] 0.5 [ ]

RAD

3 ¼ cos (2¼π 3=

–1 . 5

DEG

3 ¼ sin–10 . 5=

9 0 .

Hyperbolic / Inverse-Hyp. functions

SR-281 / SR-282 uses [ 2nd ] [ HYP ] to calculate the hyperbolic

functions and inverse-hyperbolic functions - sinh, cosh, tanh, sinh

–1

cosh

and tanh –1.

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

angle unit you want.

cosh 1.5 + 2 = 4.35240961524

¾

[ 2nd ] [ HYP ] [ cos ] 1.5 [ + ] 2 [

]

sinh –1 7 = 2.64412076106

¾

[ 2nd ] [ HYP ] [ 2nd ] [ sin –1 ] 7 [

]

DEG

cosh1. 5+ 2=

4. 35240961524

DEG

sinh1–17=

2. 64412076106

–1

Coordinates transformation

Rectangular Coordinates Polar Coordinates

,

x + y i = r (cosӰ+ i sinӰ)

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

angle unit you want. The calculator can perform the conversion between rectangular coordinates and polar coordinates by [ 2nd ] [ P [ R

P ].

-E16-

R ] and [ 2nd ]

If x = 5, y = 30, what are r, ? Ans : r = 30.4138126515, =

.

7

¾

80.537677792

[ 2nd ]

[ ]

[ 2nd ] [ x ↔y ]

If r = 25, = 56 o what are x, y ? Ans : x = 13.9798225868, y =

¾

20.7259393139

[ 2nd ] [ P R ] 25 [ 2nd ] [ ] 56

[ ]

[ 2nd ] [ x ↔y ]

[ R P ] 5 [ 2

o

nd ] [ ] 30

DEG ( )

R P( 5 ,

30

DEG

r

3 0 . 4138126515

DEG

θ

8 0

537677792

DEG ( )

P R(25 ,

56

DEG

X

1 3 . 9798225868

DEG

Y

2 0 .

259393139

Probability

This calculator provides the following probability functions :

[ nPr ] Calculates the number of possible permutations of n item

taken r at a time.

[ nCr ] Calculates the number of possible combinations of n items

taken r at a time.

[ X! ] Calculates the factorial of a specified positive integer n,

[ RND ] Generates a random number between 0.000 and 0.999

¾

7 [ 2nd ] [ nPr ] 4 [ ]

¾

where n

!7

−

!7

−

Љ

69.

840

=

!])47([

DEG

7P4=

840.

53

=

!])47([!4

-E17-

7 [ 2nd ] [ nCr ] 4 [ ]

Ѕ

DEG

7C4=

35.

5 ! = 120

¾

5 [ 2nd ] [ X ! ] [ ]

DEG

5!

120.

Generates a random between 0.000 ~ 0.999

¾

[ 2nd ] [ RND ]

DEG

Rnd

0 .44 9

Other functions ( 1/x, ,3,X, x 2, x 3, x y , INT, FRAC )

The calculator also provides reciprocal ( [ 2nd ] [ 1/x ] ), square root

Ѕʳ

] ), cubic root ( [ 2nd ] [ 3] ), universal root ( [ 2nd ] [ X ] ),

( [ square ( [ x

functions.

¾

INT Indicate the integer part of a given number

FRAC Indicate the fractional part of a given number

¾

2

] ), cubic ( [ 2nd ] [ x 3 ] ), and exponentiation ( [ x y ] )

1

8.0

=

.251

1.25 [ 2nd ] [ 1 / x ] [ ]

DEG

–1

1 . 25

0 .8

2

2 [ x 2 ] [ + ] [ Ѕ ] [ ( ] 4 [ + ] 21 [ ) ] [ + ] [ 2nd ] [

[ x

3

] [ ]

5

4

3

16812=625+7

7 [ x y ] 5 [ + ] 4 [ X ] 625 [ ]

3

139=5+125+21+4+2

] 125 [ + ] 5 [ 2nd ]

DEG

22+ Ѕ (4+21)+

139.

DEG

7xy5+4

16812.

INT ( 10 8 ) = INT ( 1.25 ) = 1

[ 2nd ] [ INT ] 10 [ ] 8 [ ]

DEG

INT (10 8=

1.

X

625=

-E18-

FRAC ( 10 8 ) = FRAC ( 1.25 ) = 0.25

¾

[ 2nd ] [ FRAC ] 10 [ ] 8 [ ]

DEG

FRAC( 1 0 8=

0 .25

Unit Conversion

The calculator has a built-in unit conversion feature that enabl es you to convert numbers among different units.

1. Enter the number you want to convert.

2. Press [ CONV ] to display the menu. There are 7 menus, covering

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

3. Use the [ CONV ] to scroll through the list of units until a

appropriate units menu is shown, then [

4. Pressing [

] or [ 2nd ] [ ] can convert the number to

another unit.

1 y d 2 = 9 f t 2 = 0.00000083612 km

¾

1 [ CONV ] [ CONV ] [ ] [ ]

].

2

DEG

ft2yd2m

2

1.

[ 2nd ] [ ]

DEG

ft2yd2m

2

9 .

[ ] [ ] [ ]

DEG

km2hec t a r es

0. 0 000 0083612

Physics constants

You can use 136 physics constants in your calculations. W ith the following constants :

Data is referred to Peter J.Mohr and Barry N.Taylor, CODATA Recommended Values of the Fundamental Physical Constants:1998, Journal of Physical and Chemical Reference Data,Vol.28, No.6,1999 and Reviews of Modern Physics,Vol.72, No.2, 2000.

No. Quantity S ymbol Value, Unit

1. Speed of light in vacuum c 299792458 m s

2. Magnetic constant

3. Electric constant Characteristic impedance

4. of vacuum

1.2566370614 x10 –6N A

µ

0

8.854187817 x 10

ε

0

Z

0

376.730313461 

–1

–2

–12

–1

F m

-E19-

ȉ

Newtonian constant of

5. gravitation

6. Planck constant

7. Planck constant over 2 pi

8. Avogadro constant

9. Planck length

10. Planck time

11. Planck mass

12. Atomic mass constant Atomic mass constant

13. energy equivalent

14. Faraday constant IF 96485.3 41539 C mol

15. Elementary charge e 1.60217646263 x10 Electron volt–joule

16. relationship

17. Elementary charge over h e/h 2.41798949195 x10 14AJ

18. Molar gas constant R 8.31447215 J mol –1 K

19. Boltzmann constant k 1. 380650324 x10

20. Molar planck constant NAh 3.99031268930x10

21. Sackur–Tetrode constant S0/R Wien displacement law

22. constant

Lattice parameter of

23. silicon

Stefan–Boltzmann constant

24. Standard acceleration of

25. gravity

Atomic mass

26. unit–kilogram relationship

27. First radiation constant

First radiation constant for

28. spectral radiance

29. Second radiation constant

30. Molar volume of ideal gas

31. Rydberg constant

32. Rydberg constant in Hz

Rydberg constant in joules

33.

34. Hartree energy

35. Quantum of circulation

36. Fine structure constant

37. Loschmidt constant n 0 2.686777547 x10 25m

38. Bohr radius a 0 0.52917720832 x10

39. Magnetic flux quantum

40. Conductance quantum G 0 7.74809169628 x10 –5S Inverse of conductance

41. quantum

6.67310 x10

G

K

h

N

6.0221419947 x10 23mol

A

l

p

t

p

m

p

µ

m

2

m

µc

eV 1.60217646263 x10

b 2.897768651 x10 –3m K

a 543.10208816 x10

5.67040040 x10 –8W m –2 K

σ

g 9.80665 m s

µ

c

3.7417710729 x10

1

L

c

1.19104272293x10

1

c

2

V

22.41399639 x10 –3m3 mol

m

∞

R

∞ c

R R∞hc

E

h

h/m

7.27389503253 x10 –4m2 s

e

α

2.06783363681 x10

Φʳ

0

–1

G

0

–11 m3

6.6260687652 x10

1.05457159682 x10

1.616012 x10

5.390640 x10

2.176716 x10 –8kg

1.6605387313 x10

1.4924177812 x10

ȉ1.164867844

1.6605387313 x10

1.438775225 x10

10973731.5685 m

3.28984196037 x10

2.1798719017 x10

4.3597438134 x10

7.29735253327 x10

12906.4037865 

kg

–34

–27

–23

J K

–10

Js mol

–27

–16

Wm

–16Wm2sr–1

–2

15

–15

1

–35

–19

–12

–10

s

–44

–10

–19

m K

–18

Wb

ȉ

2

J s

–1

m

s

kg

J

–1

C

J

–1

m

–4

–2

kg

2

–1

Hz

J

–1

–3

m

-E20-

42. Josephson constant

43. Von Klitzing constant

44. Bohr magneton

45. Bohr magneton in Hz/T

46. Bohr magneton in K/T

47. Nuclear magneton

Nuclear magneton in MHz /T µ

48.

49. Nuclear magneton in K/T

50. Classical electron radius

51. Electron mass Electron mass energy

52. equivalent

Electron–muon m ass ratio m

53.

54. Electron–tau mass ratio Electron–proton mass

55. ratio

Electron–neutron mass

56. ratio

Electron–deuteron mass

57. ratio

Electron charge to mass

58. quotient

59. Compton wavelength Compton wavelength

60. over 2 pi

61. Thomson cross sect ion

Electron magnetic

62. moment

Electron magnetic

63.

moment to Bohr magneton ratio

Electron magnetic

64.

moment to nuclear magneton ratio

Electron–muon magnetic

65. moment ratio

Electron–proton magnetic

66. moment ratio

Electron–neutron

67. magnetic moment ratio

Electron–deuteron

68. magnetic moment ratio

Electron to shielded hel ion

69.

magnetic mom ent ratio

Electron magnetic

70. moment anomaly

71. Electron g–factor

Electron gyromagnet ic ratio γ

72.

K

483597.89819 x10 9Hz V

J

R

µ

B

µ

B

µ

N

µ

N r

m

mec

e

me/m

K

B

N

e

/mµ

/h

/k

/h

/k

e

2

τ

p

n

d

25812.8075730

927.40089937 x10

13.9962462456 x10

0.671713112 K T

5.0507831720 x10

7.6225939631 MHz T

3.658263864 x10

2.81794028531 x10

9.1093818872 x10

8.1871041464 x10

4.8363321015 x10

2.8755547 x10

5.44617023212 x10

5.43867346212 x10

2.72443711706x10

ȉe/meȉ1.75882017471 x10

2.42631021518 x10

λc

c 386.159264228 x10

Ȝ

σ

0.66524585415 x10

e

ȉ928.47636237x10

µ

e

µ

e

µ

e

µ

e

µ

e

µ

e

µ

e

µ

e

a

g

-E21-

µ

/

B

µ

/

N

µµ

/

µ

/

p

µ

/

n

µ

/

d

µ'

/

h

e

1.76085979471 x10

ȉ1.00115965219

ȉ1838.28196604

206.766972063

ȉ658.210687566

960.9205023

ȉ2143.92349823

864.05825510

1.15965218694 x10

ȉ2.00231930437

11 s–1

–26

9

–27

–4

11

–26

J T

Hz T

J T

K T

–31

Ckg

–28m2

J T

–1



–1

–15

m

kg

–14

J

–3

–4

–1

–12

m

–15

m

–1

–3

–1

T

73. Muon mass Muon mass energy

74. equivalent

75. Muon–tau mass ratio

76. Muon–proton mass ratio

77. Muon–neutron mass ratio

Muon magnetic moment

78. anomaly

79. Muon g–factor Muon Compton

80. wavelength

Muon Compton

81. wavelength over 2 pi

82. Muon magnetic moment

Muon magnetic moment

83. to Bohr magneton ratio

Muon magnetic moment to

84. nuclear magneton ratio

Muon–proton magnetic

85. moment ratio

86. Tau Compton wavelength

Tau Compton wavelength

87. over 2 pi

88. Tau mass Tau mass energy

89. equivalent

90. Tau–proton mass ratio Proton Compton

91. wavelength

Proton Compton

92. wavelength over 2 pi

93. Proton mass Proton mass energy

94. equivalent

Proton–neutron mass

95. ratio

Proton charge to mass

96. quotient

97. Proton magnetic moment

Shielded proton magnetic

98. moment

Proton magnetic moment

99. to nuclear magneton ratio

Proton–neutron magnetic

100. moment ratio

Shielded proton magnetic

101.

moment to Bohr magneton ratio

1.8835310916 x10

µ

m

2

m

µ/m

m

µ/m

m

µ/m

a

g

λ

Ȝ

µ

µ /µ

µ

µ /µ

µ

µ /µ

λ

Ȝ

m

τ

λ

Ȝ

m

mpc

mp/m

e/m

µ

µ'

µ

p

µ

p

µ'

p

µc

c

τ

/m

c,p

/

1.6928333214 x10

τ

p

n

µ

,

µ 1.86759444455 x10

,

µ

B

N

p

τ

,

τ 0.11104218 x10

,

τ

2

c

p

5.9457297 x10

0.11260951733

0.11245450793

1.1659160264 x10

ȉ

2.00233183201

11.7344419735 x10

ȉ4.4904481322x10

ȉ4.8419708515 x10

ȉ8.8905977027

ȉ3.1833453910

0.6977011 x10

3.1678852 x10

2.8471546 x10

–26

1.8939631

1.32140984710 x10

0.21030890892 x10

1.6726215813 x10

p

2

1.5032773112 x10

n

p

1.41060663358 x10

p

1.41057039959 x10

p

µ

N

µ

n

/µ

B

0.99862347856

9.5788340838 x10 7C kg

–26

2.79284733729

ȉ1.4598980534

1.52099313216 x10

–28

J T

–27

J T

kg

–11

J

–2

–3

–15

m

–15

m

–1

–3

–15

m

–15

m

kg

–10

J

–15

m

–15

m

kg

–10

J

–1

–3

-E22-

γ

γ'

σ'

g

λ

Ȝ

m

mnc

µ

n

g

m

mdc

md/m

µ

d

µ

d

µ

d

m

mhc

mh/m

µ'

p

c,n

n

2

n

µ

/

B

n

γ

n

d

2

e

p

d

µ

/

B

µ

/

N

µ

/

p

h

2

e

p

h

2.6752221211 x10

2.6751534111 x10

1.31959089810 x10

0.21001941422 x10

1.6749271613 x10

1.5053494612 x10

ȉ0.9662364023x10

–1.0418756325 x10

1.8324718844 x10

3.3435830926 x10

3.0050626224 x10

0.43307345718 x10

0.46697545565 x10

5.0064117439 x10

4.4995384835 x10

ȉ

1.07455296745 x10

102. Proton gyromagnetic ratio

Shielded proton

103. gyromagnetic ratio

Proton magnetic shielding

104. correction

105. Proton g–factor Neutron Compton

106. wavelength

Neutron Compton

107. wavelength over 2 pi

108. Neutron mass Neutron mass energy

109. equivalent

Neutron magnetic

110. moment

Neutron magnetic

111.

moment to Bohr magneton ratio

112. Neutron g–factor Neutron gyromagnetic

113. ratio

114. Deuteron mass Deuteron mass energy

115. equivalent

116. Deuteron molar mass M(d) 2.01355321271x10–3kg mol Deuteron–electron mass

117. ratio

Deuteron–proton mass

118. ratio

Deuteron magnetic

119. moment

Deuteron magnetic

120.

moment to Bohr magneton ratio

Deuteron magnetic

121.

moment to nuclear magneton ratio

Deuteron–proton

122. magnetic moment ratio

123. Helion mass Helion mass energy

124. equivalent

125. Helion molar mass M(h) 3.01493223470x10 –3kg mol Helion–electron mass

126. ratio

127. Helion–proton mass ratio Shielded helion magnetic

128. moment

8s–1

25.68715 x10

5.58569467557

–15

–27

–26

J T

ȉ3.8260854590

8s–1

–27

3670.48295508

1.99900750083

–26

J T

0.85743822849

0.30701220835

–27

5495.88523812

2.99315265851

–26

–1

T

–1

T

–6

m

kg

–10

J

–1

–3

–1

T

kg

–10

J

–1

–3

kg

–10

J

–1

J T

-E23-

Shielded helion magnetic

129.

moment to Bohr magneton ratio

Shielded helion magnetic

130.

moment to nuclear magneton ratio

Shielded helion

131. gyromagnetic ratio

132. Alpha particle mass Alpha particle mass

133. energy equivalent

134. Alpha particle molar mass Alpha particle to electron

135. mass ratio

Alpha particle to proton

136. mass ratio

µ'

/µ

h

B

µ'

/µ

h

N

γ'

h

m

α

2

c

m

α

)

M(

α

/m

m

e

α

/m

m

p

α

ȉ1.15867147414 x10

ȉ2.12749771825

2.03789476485 x10

6.6446559852 x10

5.9719189747 x10

4.00150617471 x10

7294.29950816

3.97259968461

8s–1

–3

–27

kg mol

–3

–1

T

kg

–10

J

–1

To insert a constant at the cursor position :

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

2. Press [

] or [ 2nd ] [ ] until the constant you want is

underlined.

3. Press [

].

You also can use the [ CONST ] key in combination with a number, 1 through 136, to recall a physical constants. For example, press 15 [ CONST ].

DEG

e

1. 6021 7 6462 63

3 x NA = 1.80664259841 x 10

¾

3 [ x ] [ CONST ] [ CONST ] [ ] [

]

[ ]

[ ] [ ]

24

–19

CONST DEG

hhNAlp tp

. 0221419947

6

CONST DEG

008 : mo l

6

. 0221419947

CONST DEG

3¼NA=

1

.80664259841

23

–1

23

24

Base–n calculations

Use MAIN ( [ MODE ] 1 ( MAIN ) ) mode for Base–n calculations.

-E24-

The unit enables you to calculate in number base other than decimal.

X

The calculator can add, subtract, multiply, and divide binary, octal, and hexadecimal numbers.

The following shows the numerals that can be used in each number base.

Binary base ( b ) : 0, 1

Octal base ( o ) : 0, 1, 2, 3, 4, 5, 6, 7

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

Hexadecimal base ( h ) : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

To distinguish the A, B, C, D, E and F used in the hexadecimal base from standard letters, they appear as shown in the below.

Display

Key

Display (Upper)

Display (Lower)

Key

(Upper)

Display (Lower)

A /A DID

B IB EIE

CIC FIF

Select the number base you want to use with [ BIN ], [ OCT ], [

DEC ], [ HEX ]. The " BIN ", " b ", " OCT ", " o ", " HEX ", " h " indicators show you which number base you are using. If none of the indictors appears in the display, you are in deci mal base.

Bases conversions

37 (base 8) = 31 (base 10) = 1F (base 16)

¾

[ 2nd ] [ OCT ] 37

[ 2nd ] [ DEC ]

[ 2nd ] [ HEX ]

DEG OCT

00000000 037

DEG

31

DEG HE

0000001F

o

.

h

Block Function

For a result in binary base, it will be displayed using block function. The maximum of 32 digits are displayed i n 4 blocks of 8 digits.

-E25-

Indic ates B lock 4 presen tly di splaye d

Indic ates B lock 3 p res ently dis playe d

Indicates Block 2 presently displayed

Indic ates Bloc k 1 pres ently dis playe d

DEG BIN



11010011





Indicates total blocks : 1 block

Indicates total blocks : 2 blocks

Indicates total blocks : 3 blocks

Indicates total blocks : 4 blocks

The block function comprises upper and lower block indicators. The upper indicator means current block position, and the lower indicator means total blocks for a result.

In the binary base, the block 1 is displ ayed immediately after calculation. Other blocks ( block 2 ~ block 4 ) are displayed by pressing [

].

For example, input 47577557

Press [ 2nd ] [ HEX ] 47577557

[ 2nd ] [

BIN ]

[ ]



––

––



 



––

–––

b

16

Indicates Block 1 presently displ ayed

DEG BIN

01010111

Indicates Bl ock 2 presently di splayed

DEG BIN

01110101

Indicates Block 3 presently di splayed

DEG BIN

01010111

Indi cates Blo ck 4 presen tl y disp layed

DEG BIN

01000111

b

4757755716 = Block 4 + Block 3 + Block 2 + Block 1 = 01000111010101110111010101010111

2

-E26-

Basic arithmetic operations for bases

X

1IEIF 16 + 1234 10 1001 2 = 1170

¾

[ 2nd ] [ HEX ] 1E F [ + ] [ 2nd ] [

DEC ] 1234 [ ] [ 2nd ] [ BIN ]

1001 [

] [ 2nd ] [ OCT ]

8

DEG OCT

h 1 IE IF + 1 2 3 4 b1

00000001170

o

Negative expressions

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.

3/A 16 = NEG IFIFIFIFIFIFIC6

¾

[ 2nd ] [ HEX ] 3 A [ NEG ]

16

DEG HE

NEG h 3 /A

FF FFFFC6

h

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).

10102 AND ( /A 16 OR 7 16) = 12

¾

[ 2nd ] [ BIN ] 1010 [ AND ] [ ( ] [ 2nd ] [

HEX ] A [ OR ] 7 [ ) ] [ ] [ 2nd ]

[

OCT ]

8

DEG BIN

b101 0 AND ( h

00000 000012

o

Statistical Calculations

Use STAT ( [ MODE ] 2 ( STAT ) ) mode for statistical calculations.

The calculators can perform both single–variable statisti cal calculations and paired–variable in thi s mode.

Press [ MODE ] 2 ( STAT ) to enter STAT mode. There are six items in STAT mode, asking you to select one of them,

DEG

1–VAR LIN LOG

STAT

[ ][ ][ ]

EXP PW R D–CL

STAT

Single–variable statistics

1–VAR Single–variable statistics

Paired-variable / Regression statistics

-E27-

LIN Linear Regression y = a + b x

x

LOG Logarithmic Regression y = a + b lnx EXP Exponential Regression y = a • e POW Power Regression y = a • x

bx

b

D–CL Clear all statistical data

Entering data

Always make sure you clear statistical data by D–CL before performing statistical calculations.

(A) To input single–variable data using the following syntaxes :

# Individual data : [ DATA ] < x value >

# Multiple data of the same value :

[ DATA ] < x value > [ x ] < Number of repeats >

(B) To input paired–variable / regression data using the following

syntaxes :

# Individual data-set : [ DATA ] < x value > [

] < y value >

# Multiple data of the same value :

[ DATA ] < x value > [

(Note) : Even you exit STAT mode, all data are still retained unless you

clear all data by selecting D-CL mode.

] < y value > [ x ] < Number of repeats >

Displaying results

The values of the statistical variables depend on the data you input. You can recall them by the key operations shown in the below table.

Single–variable statistics calculations

Variables Meaning

n ( [ n ] ) Number of the x values entered

( [2nd]+[x ] ) Mean of the x values

Sx ( [2nd]+[ Sx ] ) Sample standard deviation of x values

x ( [2nd]+[

σ

x ( [2nd]+[

¦

2

x

¦

CP ( [2nd]+[ CP ] ) Potential capability precision of the x values

x ] ) Population standard deviation of x values

σ

x ] ) Sum of all x values

¦

( [2nd]+[¦x2]) Sum of all x 2 values

-E28-

Minimum (CPU, CPL) of the x values, where

x

CPU is upper spec. limit of capability

CPK ( [CPK] )

precision and CPL is lower spec. limit of

capability precision

CPK = Min ( CPU , CPL ) = CP ( 1 – Ca )

Paired-variable statistics / Regression calculations

Variables Meaning

n ( [ n ] ) Number of x-y pairs entered

( [2nd]+[x ] )

y

( [2nd]+[ y ] )

Sx ( [2nd]+[ Sx ] )

Sy ( [2nd]+[ Sy ] )

x ( [2nd]+[ σx ] )

σ

y ( [2nd]+[ σy ] )

σ

x ( [2nd]+[ ¦x ] )

¦

y ( [2nd]+[ ¦y ] )

¦

x2( [2nd]+[¦x2])

¦

y2( [2nd]+[¦y2])

¦

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

¦

Mean of the x values or y values

Sample standard deviation of x values or y

values

Population standard deviation of x values or

y values

Sum of all x values or y values

Sum of all x 2 values or y2 values

CP ( [2nd]+[ CP ] ) Potential capability precision of the x values

Minimum (CPU, CPL) of the x values, where

CPU is upper spec. limit of capability

CPK ( [ CPK ] )

precision and CPL is lower spec. limit of

capability precision

CPK = Min ( CPU , CPL ) = CP ( 1 – Ca )

a ( [2nd]+[ a ] ) Regression formula constant term a

b ( [2nd]+[ b ] ) Regression formula regression coefficient b

r ( [2nd]+[ r ] ) Correlati on coefficient r

x ’ ([ x ’ ] ) Estimated value of x

y ’ ([ y ’ ] ) Estimated value of y

-E29-

You also can add a new data anytime. The unit automatically

x

recalculates statistics each time you press [ DATA ] and enter a new data value.

Enter data : USL= 95, LSL = 70, DATA 1 = 75, DATA 2 = 85, DATA

¾

3 = 90, DATA 4 = 82, DATA 5 = 77, then find out n = 5, Sx = 6.05805249234, ıx = 5.41848687366, CP = 0.76897236513, and CPK = 0.72590991268

[ MODE ] 2

DEG STAT

1–VAR LIN LOG

= 81.8,

[ ] [ DATA ] 75 [ DATA ] 85 [ DATA ] 90 [ DATA ] 82 [ DATA ] 77

[ n ]

[ 2nd ] [ x]

[ 2nd ] [ Sx ]

[ 2nd ] [ ıx ]

[ 2nd ] [ CP ] 95

[ ] 70

[ ]

[ CPK ]

[ ]

DEG STAT

DATA 5

DEG STAT

n

DEG STAT

SX

6. 05805249234

DEG STAT

ı x

5. 41848687366

DEG STAT

USL=

DEG STAT

LSL=

DEG STAT

CP

. 76897236513

0

DEG STAT

USL=

DEG STAT

LSL=

-E30-

77

81 . 8

95

70

95

70

.

5

CP

USL

CP

LSL

CPK

USL

.

CPK

LSL

.

[ ]

Find a, b and r for the following data using linear regression and

¾

estimate x = ? for y =573 and y = ? for x = 19.

DEG STAT

CPK

. 72590991268

0

Data item 15 17 21 28

FREQ. 451 475 525 678

[ MODE ] 2 [ ]

[ ] [ DATA ] 15 [ ] 451 [ DATA ] 17 [

] 475 [ DATA ] 21 [ ] 525

[ DATA ] 28 [

] 678

[ 2nd ] [ a ]

DEG STAT

1–VAR L I N L OG

DEG STAT

DA T A 4 = 2 8 ,

678

DEG STAT

a

REG

176 . 106329114

[ 2nd ] [ b ]

b

DEG STAT

REG

17 . 5873417722

[ 2nd ] [ r ]

r

DEG STAT

REG

0 . 9 898 4516413

573 [ x ’ ]

19 [ y ’ ]

DEG STAT

x ’ 57 3

.567 0073 413

22

DEG STAT

y ’ 19

. 265822785

510

REG

Deleting data

The method to delete data depends on whether you have already stored the data by next pressing [ DATA ] key or not.

To delete data you just input but have not yet stored it by next pressing [ DATA ] , simple press [ CE ].

To delete data that you have already stored by next pressing [ DATA ] ,

(A) To delete single–variable data using the following syntaxes :

# < x value > [ 2nd ] [ DEL ]

-E31-

# < x value > [ x ] < Number of repeats > [ 2nd ] [ DEL ]

(B) To delete paired–variable / regression data using the following

syntaxes:

# Individual data-set : < x value > [

] < y value > [ 2nd ] [ DEL ]

# Multiple data-set with the same value :

< x value > [

] < y value > [ x ] < Number of repeats > [ 2nd ]

[ DEL ]

If you enter and delete a value that isn't incl uded in the stored data by mistake, " dEL Error " appears, but the previous data are still retained.

Editing data

Press [ 2nd ] [ EDIT ] to enter EDIT mode. The EDIT mode is convenient and friendly for you to view, correct, delete data.

(A) In 1–VAR mode, the method to view data depends on whether you

want to view data item or not.

# Each time you press [ DATA ], first data item appears 1 second

and then the corresponding value.

[ DATA ]

dAtA 1

STAT

EDIT

1 second

DEG

STAT

EDIT

15.

DEG

# Each time you press [ ], val ue appears directly on the

display without data item.

DEG

STAT

[

]

EDIT

15.

(B) In REG mode, each time you press [ DATA ], data item and x value

appear on the screen at the same time. You can press [

] to

switch between x and y value.

[ DATA ]

DATA 1 = 15 , 45

STAT

EDIT

[ ]

15

DEG

DATA 1 = 15 , 45

451

STAT

EDIT

DEG

If you want to correct data, find out and enter a new entry to replace it.

FULL message

A “ FULL” is indicated when any of the following conditions occur and further data entry becomes impossible. Just pressing any key can clear the indicator. The previous data entries are still retained unless you exit STAT mode.

1) If the times of data entry by [ DATA ] is more than 50

2) The number of repeats is more than 255

-E32-

3) n!12750 (n = 12750 appears when the times of data entry by

[ DATA ] are up to 50 and the number of repeats for each value are all 255, i.e. 12750 = 50 x 255 )

Complex Calculations

Use CPLX ( [ MODE ] 3 ( CPLX ) ) mode for complex calculations.

Complex mode enables you to add, subtract, multiply, and divide complex numbers.

The results of a complex operation are displayed as follow :

Re Real value Im Imaginary value

ab Absolute value ar Argument value

( 7 – 9 i ) + ( 15 + 12 i ) = 22 + 3 i , ab = 22.2036033112, ar =

¾

7.76516601843

[ MODE ] 3

7 [ – ] 9 [ i ] [ + ] 15 [ + ] 12 [ i ] [ ]

[ ]

CPLX DEG

Re I m a b a r

CPLX DEG

Re I m a b a r

CPLX DEG

Re I m a b a r

. 2036033112

22

CPLX DEG

Re I m a b a r

. 76516601843

7

22

.

0

.

i

.

3

-E33-

Citizen SR-281 User Manual [ru]

Specifications and Main Features

Frequently Asked Questions

User Manual