Datexx DS-834 User Manual

Page 1
Contents
General guide .................................................. E - 2
Power supply ......................................................................... E - 2
The keyboard ......................................................................... E - 2
Display symbols .................................................................... E - 3
Display formats ..................................................................... E - 3
Order of operations................................................................ E - 4
Accuracy and Capacity.......................................................... E - 5
Overflow / Error conditions.................................................... E - 7
Basic calculation ............................................. E - 8
Mixed arithmetic calculation ................................................. E - 8
Parentheses calculations ...................................................... E - 8
Constant calculation .............................................................. E - 8
Percentage calculation .......................................................... E - 9
Memory calculation ............................................................... E - 9
Scientific calculation..................................... E - 10
Reciprocal, Factorial ........................................................... E - 10
Square, Square / Cubic Root, Power, Root ........................ E - 10
Logarithms and Antilogarithms ........................................... E - 10
Fraction calculation ............................................................. E - 10
Angular units conversion..................................................... E - 11
Trigonometric / Inverse trigonometric functions ................. E - 11
Hyperbolic / Inverse hyperbolic functions ........................... E - 12
Rectangular / Polar coordinates.......................................... E - 12
Permutations, Combinations .............................................. E - 12
Sexagesimal Decimal conversion.................................. E - 13
Base-n mode calculation .................................................... E - 13
Complex numbers calculation ............................................ E - 14
Random numbers and Exchange key................................. E - 14
Unit conversion.................................................................... E - 15
Statistics calculation..................................... E - 15
Computing single variable statistics ................................... E - 15
Viewing statistics data ........................................................ E - 16
Adding a data entry ............................................................. E - 17
Editing statistics data .......................................................... E - 17
Delete error .......................................................................... E - 18
Weighted data entry method ............................................... E - 18
E - 1
Page 2
General guide
Power supply
On or Off :
To turn the calculator on, press [ ON/C ]; to turn the calculator off,
press [ 2ndF ] [ OFF ].
Auto power-off function :
This calculator automatically turns off it when not operated for approximately 15 minutes. Power can be restored by pressing the [ ON/C ] key again. Memory contents and the previous mode setting (STAT, DEG, CPLX, Base-n,…) are retained even when power is turned off or auto power-off.
Battery replacement :
The calculator uses two alkaline button batteries GP76A(LR44) for power. If the display becomes dim and difficult to read, the batteries should be replaced as soon as possible.
To replace batteries:
1) Remove the screws that hold the back cover.
2) Remove the back cover.
3) Replace the old batteries and install new ones with polarity in correct directions.
4) Secure the screws in place, then press [ ON/C ] to turn the power on.
The keyboard
Many of the calculator’s keys are used to perform more than one function. The functions marked on the keyboard are printed differently to help you find the one you need quickly and easily.
–1
2nd functions
1st functions
1st functions
Those are the functions that are normally executed when you press the key.
2nd functions
The second function is printed above or to the right of the key. To execute 2nd functions key, please press [ 2ndF ] then the corresponding key. When you press [ 2ndF ], the “ 2ndF ” indicator
sin
sin
E - 2
Page 3
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 [ 2ndF ] by mistake, simply press [ 2ndF ] again to remove the “ 2ndF ” indicator.
(Note) : [ A ], [ B ], [ C ], [ D ], [ E ], [ F ] are 1st functions in HEX
mode.
Display symbols
Indicators shown on the display to indicate you the current status of the calculator.
DEG or RAD or GRAD : angular unit
M : Independent memory CPLX : Complex number mode
E : Overflow / Error STAT : Statistical mode
: minus 2ndF : [2ndF] key pressed
( ) : Parenthesis calculation CP : Precision capability
BIN : Binary mode CPK : Process capability
OCT : Octal mode σ: Deviation
HEX : Hexadecimal mode USL : Setting upper limit
ED : Edit mode LSL : Setting lower limit
HYP : Hyperbolic mode
Display format
The calculator can display numbers in four formats : floating point, fixed point, scientific, and engineering.
Floating point display format
The floating point format displays numbers in decimal form, using up to 10 digits. Any trailing zeros are truncated.
If the result of a calculation is too large to be represented in 10 digits, the display automatically switches to scientific format. If the result of later calculations is small enough to be displayed in 10 digits, the calculator returns to floating point format.
(Ex.) : Set the display in floating display format.
Step : Press [ 2ndF ] [ TAB ] [ • ]
Fixed point display format
The fixed point, scientific, and engineering formats use a fixed number of decimal places to display numbers. If more than the selected number of decimal places is keyed, it will be rounded to the correct number of decimal places.
E - 3
DEG
0.
Page 4
(Ex.) : Fix the display at 2 decimal places, then key in 3.256
Step 1 : press [ 2ndF ] [ TAB ] 2 Step 2 : key in 3.256 [ = ]
On the contrary, if fewer than the selected number of decimal places is keyed, it will be padded with trailing zero.
DEG DEG
0.00
3.26
(Ex.) : Fix the display at 4 decimal places, then key in 4.23
Step 1 : press [ 2ndF ] [ TAB ] 4 Step 2 : key in 4.23 [ = ]
DEG DEG
0.0000
4.2300
Scientific display format
In Scientific display format, the number 891500 can be shown in scientific format as 8.915 x 10 05, where 8.915 is called the mantissa and 5 is as the exponent of 10.
(Ex.) : 7132 x 125 is displayed in scientific display format.
Step 1 : key in 7132 [ x ] 125 [ = ] Step 2 : press [ FE ]
DEG DEG
891500.
8.915
(in floating point format) Besides, entry can be made in scientific notation by using the [EXP] key after entering the mantissa.
(Ex.) : Key the number 4.82296 x 10
Step : key in 4.82296 [ EXP ] 5
5
DEG
4.82296
(in floating point format)
Engineering display format
The format is similar to the scientific format, expect 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 convert units based on multiples of 10 3.
(Ex.) : Convert 15V into 15000mV (V : Volt)
Step 1 : key in 15
Step 2 : press [ ENG ] twice
DEG DEG
15.
15000.
(Ex.) : Convert 15V into 0. 015KV (V : Volt)
Step 1 : key in 15
Step 2 : press [ 2ndF ] [ ] twice
DEG DEG
15.
0.015
Order of operations
Each calculation is performed in the following order of
precedence :
1) Operation in parenthesis
2) Functions required pressing the function key before entering, E - 4
05
05
– 03
03
Page 5
for example, [ DATA ] in STAT mode and [ EXP ] key .
3) Functions required inputing values before pressing the
function key, for example, cos, sin, tan, cos -1, sin -1, tan -1, log, ln, X 2, 1/x, √, π, 3√, X!, %, RND, ENG,
。。
,,
,,→,,→
,,→
, and 6 units conversion.
。。
,,
,,→,,→
4) Fractions
5) +/–
y
6) X y,
X
7) nPr, nCr
8) x , ÷
9) +, –
→。→。
→。
→。→。
,,
,,
,,,,
,,
,,,,
,,
,
,,
Correction
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 using the backspace key [ 00 0 ]
(Ex.) : Correct 12385 as 789
Step : press [ CE ] 789
DEG
789.
(Ex.) : Correct 12385 as 123
Step : press [ 00 0 ] twice
In a series of calculations, you can correct errors in immediate results by pressing [ ON/C ] to clear the calculation completely (expect clearing memory, see page 9).
If you press the wrong arithmetic operation key, just press [ CE ] key before entering anything else.
DEG
123.
Accuracy and Capacity
Accuracy :
± 1 in 10th digit.
Capacity :
In general, every reasonable calculation is displayed up to 10 digit mantissa, or 10-digit mantissa plus 2-digit exponent up to
± 99
10
or integers between – 9999999999 and 9999999999.
Numbers used as input must be within the range of the given function. The range for each of the calculators functions is given in the following pages.
Functions Input range
sin x, cos x, tan x Deg:│ X │< 4.5 x 10
10
deg
E - 5
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Rad:│X │< 2.5 x 10 8πrad Grad:│X │< 5 x 10 however, for tan x Deg:│X │≠ 90 (2n+1) Rad:│ X │≠ (2n+1) Grad:│X │≠ 100 (2n+1)
π
2
(n is an integer)
sin -1 x, cos -1 x │X │≦ 1 tan -1 x │X │< 1 x 10 sinh x, cosh x │X │≦ 230.2585092 tanh x │X │< 1 x 10 sinh -1 x │X │< 5 x 10 cosh -1 x1≦X < 5 x 10 tanh -1 x │x│< 1 log x, ln x 1 x 10
x
10
x
e
X 0≦X < 1 x 10
2
x
-1 x 10
-1 x 10
X │< 1 x 10
1 / X │X │< 1 x 10
3
X
X │< 1 x 10
100
100 99
99
- 99
X 1 x 10
100
X 100
100
X 230.2585092
100
50 100
, X≠ 0
100
X ! 0≦ X ≦69 , X is an integer. R P 1 x 10
X2 +Y
2
P R0≦r < 1 x 10
Deg:│θ│<4.5 x 10 Rad:│θ│<2.5 x 10 8πrad Grad:│θ│< 5 x 10 however, for tan x
Deg:│θ│≠90 (2n+1) Rad:│θ│≠ (2n+1) Grad:│θ│≠100 (2n+1)
100
100
π
2
(n is an integer)
→。,,,
。, ,,→
y
X
DD , MM, SS.SS 1 x 10
0 MM, SS.SS x │< 1 x 10 X0 – 1 x 10
100
100
Y log X 100 X = 0 :Y> 0 X0 Y = n, 1/(2n+1), n is an integer.
E - 6
10
grad
100
10
deg
10
grad
100
,
Page 7
1
but -1 x 10
y
X
X0 Y 0, –1 x 10 X = 0: Y > 0
X0Y = 2n+1, I/n, n is an integer.(n 0) but – 1 x 10
b
a InputTotal of integer, numerator and
c
denominator must be within 10 digits includes division marks)
100
logX │<100
Y
100
100
1
100
logX │<100
Y
1
Ylog x
ResultResult displayed as fraction for i integer when integer, numerator and
denominator are less than 1 x 10
nPr, nCr 0≦ r ≦ n, n≦ 9999999999, n,r are integers. STAT │ x│< 1x10 50, │Σx │< 1 x 10
0≦│Σ x2│<1 x 10 :n≠ 0,S:n> 1,σ:n>0
x
Range = 1 ~ r, 1≦ n ≦r, 80 ≦ r ≦ 20400
10
100
, n, r are integer
100
DEC 0X 9999999999 (for zero or positive )
1X ≦– 9999999999 (for negative)
BIN 0 X 0111111111 (for zero, positive)
1000000000≦ X ≦1111111111 (for negative)
OCT 0 X3777777777 (for zero or positive)
4000000000≦ X ≦7777777777 (for negative)
HEX 0X 2540BE3FF( for zero or positive)
FDABF41C01≦X ≦ FFFFFFFFFF (for negative)
Overflow / Error conditions
A symbol E are indicated on the display when any of the following conditions occur and further calculation becomes impossible. Just press [ ON/C ] to release those overflow or error indicator and the subsequent calculation can then be performed.
1) When function calculations are performed with a number exceeding the input range.
2) When a number is divided by 0.
3) When the [ ( ] key is used more than 15 times in a single expression.
4) When a result (whether intermediate or final) or accumulated total in memory exceeds the limit. ( ± 9.999999999 x 10 99)
5) When more than six pending operations. E - 7
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Basic calculation
Before performing the following calculation, check to see that
your calculator is in decimal base and floating point display.
Mixed arithmetic calculation
1 + 2 x 3 = ? 1 [ + ] 2 [ x ] 3 [ = ] – 3.5 + 8 ÷ 2 = ? 3.5 [ +/– ] [ + ] 8 [ ÷ ] 2 [ = ]
DEG DEG
0.5
Parentheses calculations
Operation inside parentheses are always executed first. You can use up to 15 levels of parentheses in a single calculation. When the first parenthesis is opened, the ( ) indicator appears and remains in the display until the last parenthesis is closed.
( 5 – 2 x 1.5 ) x 3 [ ( ] 5 [ – ] 2 [ x ] 1.5 [ ) ] [ x ] + 0.8 x ( – 4 ) = ? 3 [ + ] 0.8 [ x ] 4 [ +/– ] [ = ] 2 x { 7 + 6 x ( 5 + 4 ) } 2 [ x ] [ ( ] 7 [ + ] 6 [ x ]
DEG
DEG
2.8
122. = ? [ ( ] 5 [ + ] 4 [ = ] (Note) : It is unnecessary to press the [ ) ] key before the [ = ] key.
Constant calculation
The calculator enables you to repeat the last number entered or
the last operation executed by pressing [ = ] key.
Repeating the last number
3 x 3 = ? 3 [ x ] [ = ] 3 x 3 x 3 = ? [ = ] 3 x 3 x 3 x 3 = ? [ = ]
Repeating the arithmetic operation
321 + 357 = ? 321 [ + ] 357 [ = ] 654 + 357 = ? 654 [ = ]
DEG DEG DEG
DEG DEG
27.
81.
678.
1011.
7.
9.
579 - 159 = ? 579 [ - ] 159 [ = ] 456 - 159 = ? 456 [ = ]
18 x 45 = ? 3 [ x ] 6 [ x ] 45 [ = ] 18 x 23 = ? 23 [ = ] 18 x (0.5 x 10 2) = ? 0.5 [ EXP ] 2 [ = ]
E - 8
DEG DEG
DEG DEG DEG
420.
297.
810.
414.
900.
Page 9
96 ÷ 8 = ? 96 [ ÷ ] 8 [ = ] 75 ÷ 8 = ? 75 [ = ] (1.2 x 10 2) ÷ 8 = ? 1.2 [ EXP ] 2 [ = ]
DEG DEG DEG
Percentage calculation
30% of 120 = ? 120 [ x ] 30 [ 2ndF ] [ % ]
[ = ] 70% of 120 = ? 70 [ 2ndF ] [ % ] [ = ] 88 is 55% of 88 [ ÷ ] 55 [ 2ndF ] [ % ] what number = ? [ = ] 30% add-on of 120 120 [ + ] 30 [ 2ndF ] [ % ] = ? [ = ] 30% discount of 120 120 [ – ] 30 [ 2ndF ] [ % ] = ? [ = ]
DEG
DEG DEG
DEG
DEG
Memory calculation
You should keep the following rules in mind when performing
memory calculations.
1) The M indicator appears when a number is stored in the memory.
2) Recalling from a memory by pressing [ MR ] key does not affect its contents .
3) All memories are unavailable under STAT mode.
4) In order to exchange the content of the memory for the displayed number, please press [ XM ] key.
5) The contents of the memories can be cleared by pressing [ 0 ] [ X M ] or [ CE ] [ X M ] in sequence.
[ CE ] [ X M ] 3 x 5 3 [ x ] 5 [ M+ ] M +) 56 ÷ 7 56 [ ÷ ] 7 [ M+ ] M +) 74 - 8 x 7 74 [ – ] 8 [ x ] 7 [ M+ ] M Total = ? [ MR ] M
0 [ X M ]
DEG DEG DEG DEG DEG DEG
12.
9.375
15.
36.
84.
160.
156.
84.
0.
15.
8.
18.
41.
0.
E - 9
Page 10
Scientific calculation
Before performing the following calculation, check to see that
your calculator is fixed at 2 decimal places display format.
Reciprocal, Factorial
1
= ? 1.25 [ 2ndF ] [1/X] [ = ]
1.25
5! = ? 5 [ 2ndF ] [ X! ] [ = ]
DEG DEG
120.00
Square, Square / Cubic Root, Power, Root
2 2 + 3 4 = ? 2 [ X 2 ] [ + ] 3 [ X y ] 4 [ = ] 5 x 3 27 + 34 5 [ x ] 27 [ 2ndF ] [ 3√ ]
= ? [ + ] 34 [ ] [ = ]
9
72 = ? 72 [ 2ndF ] [ y ] 9 [ = ]
X
DEG DEG
DEG
Logarithms and Antilogarithms
ln7 + log100 = ? 7 [ ln ] [ + ] 100 [ log ] [ = ] 10 2 = ? 2 [ 2ndF ] [ 10 x ] [ = ]
– 2
e 5 - e
= ? 5 [ 2ndF ] [ e x ] [ – ]
2 [ +/– ] [ 2ndF ] [ e x ] [ = ]
DEG DEG DEG
100.00
148.28
Fractional calculation
Fraction value display is as follow :
5
12 Display of
┘┘
┘┘
56
5
12 Display of 56
∪∪
∪∪
┘┘
┘┘
(Note) : Total of integer, numerator and denominator must be
within 10 digits, or the fractional value couldnt be shown completely.
By pressing [ 2ndF ] [ d/e ], the displayed value will be converted
to the improper fraction.
performed with a decimal, the answer is displayed as a decimal.
3
2
+ 7 2 [a ] 3 [ + ]
5
3
4
= 8 7 [a ] 3 [a ] 5 [ = ]
15
124
= [ 2ndF ] [ ]
15
When a press of [a b/c] key after the [ = ] key or a fraction
3
5 + 3 5 [a ] 4 [a ] 9 [ + ]
944
7
= 9 [+] 3 [a ] 3 [a ] 4 [ = ]
36
b c
b c
b c
b c
E - 10
5
12
5
12
DEG
8
4
∪∪
DEG
DEG
∪∪
124
9
∪∪
∪∪
b c
d e
b c
b c
0.80
85.00
20.83
1.61
3.95
┘┘
┘┘
┘┘
┘┘
7
┘┘
┘┘
15
15
36
Page 11
= 9.19 [ a ]
4
8 + 3.75 8 [a ] 4 [a ] 9 [ + ]
9
b c
b
b
c
c
DEG
DEG
9.19
12.19
= 12.19 [ + ] 3.75 [ = ]
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 [ ÷ ]) or the [ = ] key.
119
3 = 8 3 [a ] 119 [a ] 21
If total of integer, numerator and denominator exceeds 10 digits (including division marks), the result answer will be displayed as a decimal.
12345 + 5 12345 [a ] 5 [a ] 16 = 12350.77 [+] 5 [a ] 6 [a ] 13 [=]
21
2 3
16513
b c
[ = ]
6
b c
b c
b
b
c
c
DEG
8
2
∪∪
∪∪
b
DEG
c
12350.77
Angular units conversion
The calculator enables you to convert a angular unit among degrees(DEG), radians(RAD), and grad(GRAD).
The relation among the three angle units is :
180 ° = π rad = 200 grad
1) To change the default setting to another setting, press [ DRG ] key repeatedly until the angular unit you want is indicated in the display.
2) After entering an angle, press [ 2ndF ] [ DRG] repeatedly until the converted value is displayed.
90 °(deg) 90 = ? (rad) [ 2ndF ] [ DRG→] = ? (grad) [ 2ndF ] [ DRG →]
DEG RAD
GRAD
1.57
100.00
Trigonometric / Inverse trigonometric functions
When using those key, make sure the calculator is set for the
angular unit you want.
3 sin 85 ° = ? 3 [ x ] 85 [ sin ] [ = ]
π
cos ( rad) = ? [ 2ndF ] [ π] [ ÷ ] 4 [ = ]
4
[ cos ]
tan 150grad = ? 150 [ tan ]
-1
sin
0.5 = ? deg 0.5 [ 2ndF ] [ sin
- 1
DEG
2.99
RAD
0.71
GRAD
–1.00
DEG
]
30.00
3
┘┘
┘┘
90
E - 11
Page 12
-1
cos
( ) = ? rad
1
2
2 [ ] [ 2ndF ] [ 1/X ] [ 2ndF ] [ cos
tan -1 1 = ? grad 1 [ 2ndF ] [ tan
- 1
]
- 1
]
RAD
GRAD
Hyperbolic / Inverse hyperbolic functions
cosh1.5+sinh1.5 = 1.5 [ HYP ] [ cos ] [ + ]
-1
sinh
7 = 7 [ HYP ] [ 2ndF ] [ sin
1.5 [ HYP ] [ sin ] [ = ]
tanh 1 = 1 [ HYP ] [ tan ]
DEG
-1 ]DEG DEG
Rectangular / Polar coordinates
Rectangular Coordinates Polar Coordinates
Y
Y
0.79
50.00
4.48
2.64
0.76
y
P( x, y )
0
x
X
P( r, θ)
r
θ
0
X
a + b i= r (cos θ + i sin θ)
(Note) : When using those key, make sure the calculator is set for
the angular unit you want.
Converting from Rectangular to Polar
If a = 5 and b = 6 5 [ a ] 6 [ b ] , what are r andθ? [ 2ndF ] [ R → P]
[ b ]
DEG
DEG
Converting from Polar to Rectangular
If r = 25 and θ= 56° 25 [ a ] 56 [ b ] , what are a and b? [ 2ndF ] [ P→ R]
[ b ]
Permutations, Combinations
n !
nPr = nCr =
(n – r) !
n !
r ! (n – r) !
How many 7 [ 2ndF ] [ nPr ] 4 [ = ] permutations of 4 items can you select out of a set of numbers of 7 items?
DEG
DEG
DEG
840.00
E - 12
7.81
50.19
13.98
20.73
Page 13
How many 7 [ 2ndF ] [ nCr ] 4 [ = ] combinations of 4 items can you select out of a set of numbers of 7 items?
Sexagesimal
The calculator enables you to converts the sexagesimal figure
(degree, minute and second) to decimal notation by pressing
。。
,,
,,→,,→
[
,,→
] and converts the decimal notation to the sexagesimal
。。
,,
,,→,,→
notation by [ 2ndF ] [
↔↔
Decimal form conversion
↔↔
→。→。
,,
,,,,
→。
,,
] .
→。→。
,,
,,,,
DEG
35.00
Sexagesimal figure value display is as follow :
││
││││
││
││
││││
□□
□□
12
45
30
5 Represent 12 hours, 45 minutes, 30.27 seconds
(Note) : The total of DD, MM and SS.SS must be within 8 digits, or
the sexagesimal couldnt be shown completely.
Converting from Sexagesimal to Decimal
12 hours, 45 minutes, 12 [
30.5 seconds = ? 30.5 [
。。
,,
。。
,,
,,→,,→
,,→
,,→,,→
。。
,,
,,→,,→
,,→
。。
,,
,,→,,→
] 45 [
]
。。
,,
。。
,,
,,→,,→
,,→
,,→,,→
DEG
]
12.76
Converting from Decimal to Sexagesimal
→。→。
,,
2.12345 = ? 2.12345 [ 2ndF ] [
,,,,
→。
,,
]2□7│24││ 42
→。→。
,,
,,,,
Base-n mode calculation
Converting between bases
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. Select the number base you want by the [BIN], [OCT], [HEX], [DEC] keys. The BIN, OCT, and HEX indicators show you which base you are using. (if none of the indicators appears in the appear in the display, you are in decimal base.)
The keys active in each base is described as follows : Binary base : [ 0 ] [ 1 ] Octal base : [ 0 ] ~ [ 7 ] Decimal base : [ 0 ] ~ [ 9 ]
Hexadecimal base : [ 0 ] ~ [ 9 ], [ A ] ~ [ F ] 31 (base 10) [ 2ndF ] [DEC ] 31 = ? (base 2) [ 2ndF ] [ BIN ] = ? (base 8) [ 2ndF ] [ OCT ] = ? (base 16) [ 2ndF ] [ HEX ]
E - 13
DEG DEG BIN DEG OCT DEG HEX
11111.
31.
37.
1F.
Page 14
4 X 1B (base 16) [ 2ndF ] [HEX ]
DEG HEX
6C.
4 [ x ] 1B [ = ] = ? (base 2) [ 2ndF ] [ BIN ] = ? (base 10) [ 2ndF ] [DEC ] = ? (base 8) [ 2ndF ] [ OCT ]
DEG BIN DEG DEG OCT
1101100.
108.00
154.
Negative and Complements
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 numbers base by pressing [ +/– ] key in non-decimal bases.
Calculate the [ 2ndF ] [BIN ] 11011
DEG BIN
complement of binary [ +/– ] 1111100101. number 11011
Complex numbers calculation
Select the complex numbers mode by pressing [ CPLX ] key and make sure CPLX indicator appears on the display. The calculator enables you to add, subtract, multiply, and divide complex numbers.
Complex numbers are generally represented as a + b i, where a is a real and b is imaginary.
[ 2ndF ] [ CPLX ]
DEG CPLX
( 7– 9 i ) 7 [ a ] 9 [ +/– ] [ b ] 22.00 + (15 + 10 i) = ? [ + ] 15 [ a ] 10 [ b ] [ = ]
[ b ]
DEG CPLX
1.00
(Note) : Memory calculation is available in complex number mode.
Random numbers and Exchange key
Random key
Pressing [ RND ] key enables the display to generate random numbers between 0.000 and 0.999.
Step : press [ 2ndF ] [ RND ]
Exchange key
Pressing [ 2ndF ] [ X Y ] enables the displayed value to exchange as the previous value.
123 + 456 = ? 123 [ + ] 456 [ = ]
[ 2ndF ] [ XY ] [ 2ndF ] [ XY ]
DEG
DEG DEG DEG
0.231
579.00
456.00
579.00
E - 14
Page 15
Unit conversion
↔↔
In
cm
↔↔
12 ln = ? cm 12 [ A B ] [ 2ndF ]
[ Incm ]
98 cm = ? ln 98 [ 2ndF ] [ A B ]
DEG
DEG
[ 2ndF ] [ Incm ]
(Note) : The operating procedure for unit conversion key,
[ ], [ mmHgKpa ], [ gall ], [ lbkg ], [ OZg ], is similar to the above example.
Statistics calculation
Computing single variable statistics
Select the mode by pressing [ STAT ] key and make sure STAT indictor appears on the display.
The STAT mode enables you to calculate the following single variable statistics :
n number of all data Σ x sum of all data
Σ x2sum of the squares
mean value
x
s Sample Standard deviation σ Population standard deviation CP Precision capability
USL – LSL
CPK Process capability Min(CPU, CPL)
x
where CPU = CPL =
(Note) : In STAT mode, all function key are available, except base-
n calculation.
USL –
3 σ
(Ex. 1) : Enter the following data to calculate Σ x, Σ x 2, n, , S, CP, and CPK , where data 1 = 2, data 2~5 = 5, data 6-8 = 9, USL value : 12, LSL value : 2 In STAT mode [ 2ndF ] [ STAT ] Enter all data [ DATA ] 2
[ DATA ] 5
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Σx
6 σ
DEG STAT DEG STAT DEG STAT
2
x)2 / n
n – 1
2
Σx
x)2 / n
3 σ
n
– LSLx
x
0.00
2.
5.
30.48
38.58
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[ DATA ] 5 [ DATA ] 5 [ DATA ] 5 [ DATA ] 9 [ DATA ] 9 [ DATA ] 9
[ = ] = ? [ ] n = ? [ n ] S = ? [ S ]
Σx = ? [ 2ndF] [Σx ] Σx 2 = ? [ 2ndF ] [Σ x 2] σ= ? [ 2ndF ] [σ]
CP = ? [ 2ndF ] [ CP ] 12
[ = ] 2
[ = ] CPK = ? [ 2ndF ] [ CPK ]
[ = ]
[ = ]
(Note) : The calculator keeps a record of all the entries you make
and these entries are retained even if auto power-off or turning off, unless exiting STAT mode.
DEG STAT DEG STAT DEG STAT DEG STAT DEG STAT DEG STAT DEG STAT DEG STAT DEG STAT DEG STAT DEG STAT DEG STAT DEG STAT DEG CP STAT DEG CP STAT DEG CP STAT DEG STAT DEG STAT DEG STAT
5.
5.
5.
9.
9.
9.
0.00
6.13
8.00
2.59
49.00
347.00
2.42
12.
2.
0.69
12.00
2.00
0.57
Viewing statistics data
Pressing [ DATA ] or [ = ] key under ED mode can view the statistics data you have entered. The difference between [ DATA ] and [ = ] is the item of the data entry appears 1.5 sec. before the value by [ DATA ], the value appears immediately without the item by [ = ].
(Ex.2) : View the statistics data based on Ex. 1.
Step 0 : Press [ 2ndF ] [ EDIT ] to enter ED mode.
(Method 1) :
Step 1 : Press [ DATA ] once to view the first data.
DEG ED STAT
Step 2 : Continue pressing [ DATA ] once for each data, it
will display data 2, 5.00, data 3, 5.00, data 4,
5.00, data 5, 5.00, data 6, 9.00, data 7, 9.00, data 8, 9.00 in sequence.
1.5 sec.
dAtA 1 2.00
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DEG ED STAT
σ
USL LSL
CPK USL CPK LSL
CPK
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(Method 2) :
Step 1 : Press [ = ] once to view the first data
Step 2 : Continue pressing [ = ] once for each data, it will
display 5.00, 5.00, 5.00, 5.00, 9.00, 9.00,
9.00 in sequence.
Adding a data entry
(Ex.3) : Add data 9 = 10 to Ex.1
Step 1 : Press [ DATA ] 10 Step 2 : The calculator updates the statistics as you enter
data. You can then recall all variable statistics to get the following result : = 6.56, n = 9.00, S =
2.74, Σ x = 59.00, Σ x 2 = 447.00, σ = 2.59, where data 1 = 2.00, data 2~5 = 5.00, data 6~8 = 9.00, data 9 = 10.00
x
Editing statistics data
(Ex.4) : Based on Ex.1, correct data 1 = 2 as data 1 = 3
Method 1 :
Press 2 [ 2ndF ] [ DEL ] 3 to overwrite.
Method 2 :
Step 1 : Press [ 2ndF ] [ EDIT ] Step 2 : Find out 2 by [ DATA ] or [ = ] Step 3 : Enter 3 to overwrite 2 Step 4 : Press [ = ] and [ 2ndF ] [ EDIT ] to exit ED mode,
where those data are changed as data 1 = 3.00,
(Ex.5) : Based on Ex.1, delete data 1 = 2 .
Method 1 :
Method 2 :
data 2~5 = 5.00, data 6~8 = 9.00.
Press 2 [ 2ndF ] [ DEL ] to delete 2.
Step 1 : Press [ 2ndF ] [ EDIT ] Step 2 : Find out 2 by [ DATA ] or [ = ] Step 3 : Press [ 2ndF ] [ DEL ] Step 4 : Press [ 2ndF ] [ EDIT ] to exit ED mode, where
those data are changed as data 1~4 = 5.00, data 5~7 = 9.00.
DEG ED S TAT
DEG ED S TAT
DEG ED STAT DEG ED STAT DEG ED S TAT
DEG ED STAT DEG ED STAT DEG ED S TAT
2.00
10.
0.00
2.00
3.
0.00
2.00
5.00
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Delete error
(Ex.7) : If you enter and delete a value that isnt included in the stored data by mistake, dEL Error appears, but the previous data are still retained, for example, delete 7 based on Ex.1.
Step 1 : Press 7 [ 2ndF ] [ DEL ]
Step 2 : Press any key to clear it Step 3 : Enter ED mode, then view data by [ DATA ] or
[ = ], where those data are still data 1 = 2.00, data 2~5 = 5.00, data 6~8 = 9.00.
DEG S TAT
dEL Error
DEG STAT
0.00
(Ex.8) : Based on Ex.1, enter 5 x 5 and delete it.
Step 1 : Press 5 [ x ] 5 [ 2ndF ] [ DEL ]
Step 2 : Press any key to clear it Step 3 : Enter ED mode, then view data by [ DATA ] or
[ = ], where those data are changed as data 1 =
2.00, data 2~4 = 9.00.
DEG S TAT
dEL Error
DEG STAT
0.00
Weighted data entry method
Instead of entering directly each data, when often several item of data have the same value, you can enter the value and the number of occurrences up to 255. The data based on Ex.1 can be rewritten and entered as follow :
Value Number of occurrences Alternative method
2 1 [ DATA ] 2 5 4 [ DATA ] 5 [ x ] 4
9 3 [ DATA ] 9 [ x ] 3 , where data 1 = 2, data 2~5 = 5, data 6~8 = 9. Under ED mode, when you continue choosing a value from data
2~5 and correcting it as 33, the permutation among those data will be changed as data 1 = 2, data 2~4 = 5, data 5 = 33, data 6~8 = 9, where the new value 33 is inserted after data 4 = 5.
(Note) : 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 exiting STAT mode.
1) If the times of data entry by [ DATA ] is more than 80
2) The number of occurrences is more than 255
3) n20400 (n = 20400 appears when the times of data entry by [ DATA ] are up to 80 and the number of occurrences for each value are all 255, i.e. 20400 = 80 x 255.)
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