Manufacturer:
CASIO COMPUTER CO., LTD.
6-2, Hon-machi 1-chome
Shibuya-ku, Tokyo 151-8543, Japan
Responsible within the European Union:
CASIO EUROPE GmbH
Casio-Platz 1
22848 Norderstedt, Germany
This mark applies in EU countries only.
To convert rectangular coordinates (
'
2
,
'
2
) to polar
coordinates v
r9 2 ,9 2 )=
r = 2.
~t(F) Ƨ = 45.
• Press ~c(E) to display the value of r, or ~t(F) to
display the value of Ƨ.
To convert polar coordinates (
'
2
, 45°) to rectangular
coordinates v
!r(Rec( )9 2 , 45 =
x = 1.
~t(F) y = 1.
• Press ~c(E) to display the value of x, or ~t(F) to
display the value of
y.
(5 + 3) ! = 40320 ( 5 + 3 )1E(
x!)= 40320.
To obtain two random three-digit integers
1000 1.(Ran#) = 459.
= 48.
(Actual results will differ.)
To determine the number of permutations and combinations
possible when selecting four people from a group of 10
Permutations: 10 1{( n P r ) 4 = 5040.
Combinations: 10 {4 = 210.
To perform the following calculations when Fix 3 is selected
for the number of display digits: 10 ÷ 3 × 3 and Rnd(10 ÷ 3)
× 3
N 1(Fix) 3 10 / 3 * 3 = 10.000
10 / 3 =10(Rnd) * 3 = 9.999
15. Statistical Calculations (SD, REG)
To select this type of statistical calculation:
(Regression formula shown in parentheses)
Perform this
key operation:
Single-variable (X)
,2(SD)
Paired-variable (X, Y), linear regression
(
y = A + Bx)
,3(REG)
1(Lin)
Paired-variable (X, Y), logarithmic regression
(
y = A + Blnx)
,3(REG)
2(Log)
Paired-variable (X, Y),
e exponential
regression (
y = Ae
B
x
)
,3(REG)
3(Exp)
Paired-variable (X, Y), power regression
(
y = Ax
B
)
,3(REG)
e1(Pwr)
Paired-variable (X, Y), inverse regression
(
y = A + B/x)
,3(REG)
e2(Inv)
Paired-variable (X, Y), quadratic regression
(
y = A + Bx + Cx
2
)
,3(REG)
e3(Quad)
Inputting Data
• In the SD Mode and REG Mode, the l key operates as the 7
key.
• Always start data input with !,(CLR) b(Scl) = to clear
statistical memory.
• Input data using the key sequence shown below.
SD Mode: <
x -data> 7
REG Mode: <
x -data> , < y -data> 7
• 77 inputs the same data twice.
• You can also input multiple entries of the same data using
!,(;).
Data Input Precautions
• While inputting data or after inputting data is complete, you can use
the f and c keys to scroll through data you have input. If you
input multiple entries of the same data using !,(;) to specify
the data frequency (number of data items) as described above,
scrolling through data shows both the data item and a separate
screen for the data frequency (Freq).
• Input the new value and then press the = key to replace the old
value with the new one. This also means that if you want to perform
some other operation, you should always press the A key first to
exit data display.
• Pressing the 7 key instead of = after changing a value on the
display registers the value you input as a new data item, and leaves
the old value as it is.
• You can delete a data value displayed using f and c by pressing
!l(CL). Deleting a data value causes all values following it to
be shifted up.
• The message “Data Full” appears and you will not be able to input
any more data if there is no memory left for data storage. If this
happens, press the = key to display the screen shown below.
Press c to exit data input without registering
the value you just input.
Press b if you want to register the value
you just input. If you do this, however, you will not be able to display
or edit any of the data you have input.
• After inputting statistical data in the SD Mode or REG Mode, you
will be unable to display or edit individual data items any longer
after perform either the following operations: changing to another
mode; changing the regression type.
k
k
88
99
1010
1111
1212
• Entering the REG Mode and selecting a regression type (Lin, Log,
Exp, Pwr, Inv, Quad) clear variables A through F, X, and Y.
• Do not use variables A through F, X, or Y to store data when
performing statistical calculations.
Obtaining Statistical Values from Input Data
Supported statistical variables and the keys you should press to recall
them are shown below. For single-variable statistical calculations, the
variables marked with an asterisk (*) are available.
Sum: Σ
x
2
*, Σ x *, Σ y
2
, Σ y , Σ xy , Σ x
3
, Σ x
2
y , Σ x
4
, Number of Items: n *
Σ
x
2
, Σ x , n ........... !b(S-SUM) b to d
Σ
y
2
, Σ y , Σ xy ........ !b(S-SUM) e b to d
Σ
x
3
, Σ x
2
y , Σ x
4
..... !b(S-SUM) ee b to d (Quadratic
Regression only)
Mean: o*, p, Population Standard Deviation: σ
x
*, σ
y
, Sample
Standard Deviation: s
x
*, s
y
o, σ
x
, s
x
.............. !c(S-VAR) b to d
p, σ
y
, s
y
............... !c(S-VAR)e b to d
Regression Coefficients: A, B, Correlation Coefficient: r
Regression Coefficients for Quadratic Regression: A, B, C
!c(S-VAR)ee b to d
Estimated Values: m, n
Estimated Values for Quadratic Regression: m
1
, m
2
, n
!c(S-VAR) eee b to c (or d)
•
m, m
1
, m
2
and n are not variables. They are commands of the type
that take an argument immediately before them. See “Calculating
Estimated Values” for more information.
To calculate the mean (o) and population standard
deviation (σ
x
) for the following data: 55, 54, 51, 55, 53, 53,
54, 52
,c(SD)
55 7 54 7 51 7 55 7 53 77 54 7 52 7
!c(S-VAR)b(o)=
53.375
!c(S-VAR)c(σ
x
)= 1.316956719
2
To calculate the linear regression and logarithmic
regression correlation coefficients ( r ) for the following
paired-variable data and determine the regression formula
for the strongest correlation: ( x , y ) = (20, 3150), (110, 7310),
(200, 8800), (290, 9310). Specify Fix 3 (three decimal
places) for results.
,3(REG) 1(Lin) ,
1(Fix) 3
20, 3150 7 110 , 7310 7
200 , 8800 7 290 , 9310 7
!2(S-VAR) ee3(r) =
0.923
,3(REG) 2(Log)
20 , 3150 7 110 , 7310 7
200 , 8800 7 290 , 9310 7
!2(S-VAR) ee3(r) =
0.998
!2(S-VAR) ee1(A) = −3857.984
!2(S-VAR) ee2(B) = 2357.532
Logarithmic Regression Formula:
y = –3857.984 + 2357.532lnx
Calculating Estimated Values
Based on the regression formula obtained by paired-variable
statistical calculation, the estimated value of
y can be calculated for
a given
x -value. The corresponding x -value (two values, x
1
and x
2
, in
the case of quadratic regression) also can be calculated for a value
of
y in the regression formula.
To determine the estimate value for x when y = –130 in the
regression formula produced by logarithmic regression of
the data in
2
. Specify Fix 3 for the result. (Perform the
following operation after completing the operations in
2
.)
(- 130 )12(S-VAR)eee1(m)=
4.861
Important: Regression coefficient, correlation coefficient, and
estimated value calculations can take considerable time when there
are a large number of data items.
16. Equation Calculations (EQN)
The EQN Mode lets you solve equations up to three degrees and
simultaneous linear equations with up to three unknowns.
1. Press NN1(EQN) to enter the EQN Mode.
2. On the menu that appears, select an equation type.
e
d
U
nkno
w
ns?
2 3
D
egree?
2 3
To select this calculation type: Press this key:
Simultaneous linear equations with two
unknowns (a
n
x + b
n
y = c
n
)
2
Simultaneous linear equations with three
unknowns (a
n
x + b
n
y + c
n
z = d
n
)
3
Quadratic equation (ax
2
+ bx + c = 0)
e2
Cubic equation (ax
3
+ bx
2
+ cx + d = 0)
e3
3. Use the Coefficient Editor that appears to input coefficient values.
• To solve 2
x
2
+ x – 3 = 0, for example, press e2 in step 2, and
then input the following for the coefficients (
a = 2, b = 1, c = –3):
2 =1=- 3.
k
k
11
33
• Any time until you input a value for the final coefficient (c for a
quadratic equation,
d for a cubic equation), you can use the f
and c keys to move between coefficients on the screen and
make changes, if you want.
• Note that you cannot input complex numbers for coefficients.
Important: The following operations are not supported by the
Coefficient Editor: m, 1m(M–), 1t(STO). Pol, Rec, and
multi-statements also cannot be input with the Coefficient Editor.
4. After all the values are the way you want, press =.
• This will display a solution. Each press of = will display another
solution. Pressing = while the final solution is displayed will
return to the Coefficient Editor.
• You can scroll between the solutions using the c and f
keys.
• To return to the Coefficient Editor while any solution is displayed,
press A.
Note: Values cannot be converted to engineering notation on the
solution screen.
Changing the Current Equation Type Setting
Press NN1(EQN) and then select an equation type from the
menu that appears. Changing the equation type causes the values
of all Coefficient Editor coefficients to change to zero.
EQN Mode Calculation Examples
x – y + z = 2, x + y – z = 0, –x + y + z = 4
NN1(EQN)3
1 =- 1 = 1 = 2 =
1 = 1 =- 1 =0 =
- 1 = 1 = 1 = 4
Arrow indicates direction you should
scroll to view other elements.
Coefficient name
a
1
?
0.
Element value
= (x=) 1
c (y=) 2
c (z=) 3
8x
2
− 4x + 5 = 0 (x = 0.25 ± 0.75i)
NN1(EQN)e2
8 =- 4 = 5 =
(x1=) 0.25
!=(Re⇔Im) (x1=) 0.75i
c (x2=) 0.25
!=(Re⇔Im) (x2=) −0.75i
• If a result is a complex number, the real part of the first solution
appears first. Press !=(Re⇔Im) to toggle the display between
the real part and imaginary part of a solution.
x
3
– 2x
2
– x + 2 = 0
NN1(EQN)e3
1 =- 2 =- 1 = 2 =
(x1=) 2
c (x2=) –1
c (x3=) 1
17. Calculation Ranges, Number of
Digits, and Precision
Calculation Range and Precision
Calculation Range: ±1 × 10
–99
to ±9.999999999 × 10
99
or 0
Number of Digits for Internal Calculation: 15 digits
Precision: In general, ±1 at the 10th digit for a single calculation.
Precision for exponential display is ±1 at the least significant digit.
Errors are cumulative in the case of consecutive calculations.
Function Calculation Input Ranges and Precision
Functions
Input Range
sin
x
cosx
DEG
0 Ϲ |
x| Ͻ 9 × 10
9
RAD
0 Ϲ |
x| Ͻ 157079632.7
GRA
0 Ϲ |x| Ͻ 1 × 10
10
tanx
DEG
Same as sin
x, except when ȊxȊ = (2n−1) ҂ 90.
RAD
Same as sin
x, except when ȊxȊ = (2n−1) ҂ π/2.
GRA
Same as sin
x, except when ȊxȊ = (2n−1) ҂ 100.
sin
–1
x
0 Ϲ ȊxȊ Ϲ 1
cos
–1
x
tan
–1
x 0 Ϲ ȊxȊ Ϲ 9.999999999 ҂ 10
99
sinhx
0 Ϲ ȊxȊ Ϲ 230.2585092
cosh
x
sinh
–1
x 0 Ϲ ȊxȊ Ϲ 4.999999999 ҂ 10
99
cosh
–1
x 1 Ϲ x Ϲ 4.999999999 ҂ 10
99
tanhx 0 Ϲ ȊxȊ Ϲ 9.999999999 ҂ 10
99
tanh
–1
x 0 Ϲ ȊxȊ Ϲ 9.999999999 ҂ 10
–1
logx/lnx 0 x Ϲ 9.999999999 ҂ 10
99
10
x
–9.999999999 ҂ 10
99
Ϲ x Ϲ 99.99999999
e
x
–9.999999999 ҂ 10
99
Ϲ x Ϲ 230.2585092
'
x
0 Ϲ x 1 ҂ 10
100
k
k
k
k
x
2
ȊxȊ 1 ҂ 10
50
x
–1
ȊxȊ 1 ҂ 10
100
; x G 0
3
'x
ȊxȊ 1 ҂ 10
100
x!0 Ϲ x Ϲ 69 (x is an integer)
nPr
0 Ϲ
n 1 ҂ 10
10
, 0 Ϲ r Ϲ n (n, r are integers)
1 Ϲ {n!/(n–r)!} 1 ҂ 10
100
nCr
0 Ϲ
n 1 ҂ 10
10
, 0 Ϲ r Ϲ n (n, r are integers)
1 Ϲ n!/r! 1 ҂ 10
100
or 1 Ϲ n!/(n–r)! 1 ҂ 10
100
Pol(x, y)
ȊxȊ, ȊyȊ Ϲ 9.999999999 ҂ 10
99
x
2
+
y
2
Ϲ 9.999999999 ҂ 10
99
Rec(r, Ƨ)
0 Ϲ r Ϲ 9.999999999 ҂ 10
99
Ƨ: Same as sinx
°’ ”
ȊaȊ, b, c 1 ҂ 10
100
; 0 Ϲ b, c
The display seconds value is subject to an error of ±1
at the second decimal place.
ȊxȊ 1 ҂ 10
100
Decimal ↔ Sexagesimal Conversions
0°0°0° Ϲ ȊxȊ Ϲ 9999999°59°
^(x
y
)
x 0: –1 ҂ 10
100
ylogx 100
x = 0: y 0
x 0: y = n,
1
2
n
+1
(n is an integer)
However: –1
҂ 10
100
ylogȊxȊ 100
x
'y
y
0: x G 0, –1 ҂ 10
100
1/x logy 100
y = 0: x 0
y 0: x = 2n+1,
1
n
(n G 0; n is an integer)
However: –1
҂ 10
100
1/x logȊyȊ 100
a
b
/
c
Total of integer, numerator, and denominator must be
10 digits or less (including division marks).
SD
(REG)
ȊxȊ 1 ҂ 10
50
; ȊyȊ 1 ҂ 10
50
; ȊnȊ 1 ҂ 10
100
σ
x
, σ
y
, o, p : n G 0
s
x
, s
y
, A, B, r : n G 0, 1
• Precision is basically the same as that described under “Calculation
Range and Precision”, above.
• Calculations that use any of the functions or settings shown below
require consecutive internal calculations to be performed, which can
cause accumulation of error that occurs with each calculation.
^(
x
y
),
x
y
,
3
', x!, nPr, nCr; °,
r
,
g
(angle unit: radians); σ
x
, s
x
,
regression coefficient.
• Error is cumulative and tends to be large in the vicinity of a function’s
singular point and inflection point.
• During statistical calculation, error is cumulative when data values
have a large number of digits and the differences between data
values is small. Error will be large when data values are greater
than six digits.
18. Error Messages
The calculator will display an error message whenever an error occurs
for any reason during a calculation.
• Press d or e to return to the calculation screen. The cursor will
be positioned at the location where the error occurred, ready for
input. Make the necessary corrections to the calculation and execute
it again.
• Press A to return to the calculation screen. Note that this also
clears the calculation that contained the error.
Math ERROR
Cause: • The intermediate or final result of the calculation you
are performing exceeds the allowable calculation range. • Your
input exceeds the allowable input range. • The calculation you are
performing contains an illegal mathematical operation (such as
division by zero).
Action: • Check the input values and reduce the number of digits.
• When using independent memory or a variable as the argument of
a function, make sure that the memory or variable value is within the
allowable range for the function.
Stack ERROR
Cause: The calculation you are performing has caused the capacity
of the numeric stack or the command stack to be exceeded.
Action: • Simplify the calculation expression. • Try splitting the
calculation into two or more parts.
Syntax ERROR
Cause: There is a problem with the format of the calculation you
are performing.
Action: Make necessary corrections.
19. Before Assuming Malfunction of the
Calculator...
Perform the following steps whenever an error occurs during a
calculation or when calculation results are not what you expected.
Note that you should make separate copies of important data before
performing these steps.
1. Check the calculation expression to make sure that it does not
contain any errors.
2. Make sure that you are using the correct mode for the type of
calculation you are trying to perform.
3. If the above steps do not correct your problem, press the O key.
4. Initialize all modes and settings. See “Initializing Calculation Mode
and Setup”.
20. Replacing the Battery
Important: Removing the battery will cause all of the calculator’s
memory contents to be deleted.
1. Press 1A(OFF) to turn off the
calculator.
2. Remove the cover as shown in
the illustration and replace the
battery, taking care that its plus
(+) and minus (–) ends are facing
correctly.
3. Replace the cover.
4. Initialize the calculator. See “3.
Initializing the Calculator”.
• Do not skip the above step!
Screw Screw
21. Specifications
Power Requirements: AA-size battery R6P (SUM-3) × 1
Approximate Battery Life: 17,000 hours (continuous display of
flashing cursor)
Power Consumption: 0.0001 W
Operating Temperature: 0°C to 40°C (32°F to 104°F)
Dimensions: 19.5 (H) × 78 (W) × 155 (D) mm
3
/
4
Љ (H) × 3
1
/
16
Љ (W) × 6
1
/
8
Љ (D)
Approximate Weight: 130 g (4.6 oz) including battery
RJA526807-001V01
