Casio Calculator fx 115ES User Manual

E
fx-115ES PLUS  
fx-991ES PLUS C  
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Important Information  
• The displays and illustrations (such as key markings) shown in this User’s  
Guide are for illustrative purposes only, and may differ somewhat from the  
actual items they represent.  
• The contents of this manual are subject to change without notice.  
• In no event shall CASIO Computer Co., Ltd. be liable to anyone for special,  
collateral, incidental, or consequential damages in connection with or  
arising out of the purchase or use of this product and items that come with  
it. Moreover, CASIO Computer Co., Ltd. shall not be liable for any claim of  
any kind whatsoever by any other party arising out of the use of this product  
and the items that come with it.  
• Be sure to keep all user documentation handy for future reference.  
Sample Operations  
S
s  
spts  
ino  
re
Fn  
in
Pd  
reat  
th
!
.  
st  
once every three years (LR44 (GPA76)).  
A dead battery can leak, causing damage to and malfunction of the  
calculator. Never leave a dead battery in the calculator. Do not try using  
the calculator while the battery is completely dead.  
The battery that comes with the calculator discharges slightly during  
shipment and storage. Because of this, it may require replacement  
sooner than the normal expected battery life.  
Do not use an oxyride battery* or any other type of nickel-based  
primary battery with this product. Incompatibility between such  
batteries and product specifications can result in shorter battery life  
and product malfunction.  
Avoid use and storage of the calculator in areas subjected to  
temperature extremes, and large amounts of humidity and dust.  
Do not subject the calculator to excessive impact, pressure, or  
bending.  
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Never try to take the calculator apart.  
Use a soft, dry cloth to clean the exterior of the calculator.  
Whenever discarding the calculator or batteries, be sure to do so in  
accordance with the laws and regulations in your particular area.  
* Company and product names used in this manual may be registered  
trademarks or trademarks of their respective owners.  
Removing the Hard Case  
Before using the calculator, slide its hard  
case downwards to remove it, and then affix  
the hard case to the back of the calculator as  
shown in the illustration nearby.  
P
P
A
Yn  
foor  
b
Dn:  
1st  
co
Imy,  
it
n  
P
ke
T
a
T
alternate function key text mean.  
Keycap function  
If key marking text  
is this color:  
It means this:  
Press 1 and then the key to access the  
applicable function.  
Yellow  
Press S and then the key to input the  
applicable variable, constant, or symbol.  
Red  
Purple (or enclosed  
in purple brackets)  
Enter the CMPLX Mode to access the function.  
Green (or enclosed in  
green brackets)  
Enter the BASE-N Mode to access the function.  
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Reading the Display  
The display of the calculator shows expressions you input, calculation results,  
and various indicators.  
Input expression  
Indicators  
Math  
Math  
Calculation result  
• If a ' indicator appears on the right side of the calculation result, it means  
the displayed calculation result continues to the right. Use e and d to  
scroll the calculation result display.  
s  
e  
n  
A  
D
T
i
The calculator is in the MATRIX Mode.  
The calculator is in the VECTOR Mode.  
The default angle unit is degrees.  
MAT  
VCT  
7
8
The default angle unit is radians.  
9
The default angle unit is grads.  
A fixed number of decimal places is in effect.  
A fixed number of significant digits is in effect.  
Natural Display is selected as the display format.  
FIX  
SCI  
Math  
Calculation history memory data is available and can be  
replayed, or there is more data above/below the current  
screen.  
$`  
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The display currently shows an intermediate result of a  
multi-statement calculation.  
Disp  
Important: For some type of calculation that takes a long time to execute,  
the display may show only the above indicators (without any value) while it  
performs the calculation internally.  
Using Menus  
Some of the calculator’s operations are performed using menus. Pressing  
N or w, for example, will display a menu of applicable functions.  
The following are the operations you should use to navigate between  
menus.  
• You can select a menu item by pressing the number key that corresponds  
to the number to its left on the menu screen.  
er  
e.  
o
G
C
S
C
s
h
E
G
t
V
I
Nc3(DIST)  
V
Distribution Calculations  
Note: The initial default calculation mode is the COMP Mode.  
Configuring the Calculator Setup  
First perform the following key operation to display the setup menu:  
1N(SETUP). Next, use c and f and the number keys to configure  
the settings you want.  
Underlined (___) settings are initial defaults.  
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1MthIO 2LineIO Specifies the display format.  
Math  
Natural Display (MthIO) causes fractions,  
irrational numbers, and other expressions to be  
displayed as they are written on paper.  
MthIO: Selects MathO or LineO. MathO displays input and calculation results  
using the same format as they are written on paper. LineO displays input the  
same way as MathO, but calculation results are displayed in linear format.  
Linear Display (LineIO) causes fractions and  
other expressions to be displayed in a single  
line.  
Note: • The calculator switches to Linear Display automatically whenever you  
ee  
B ),  
w
3le  
u
Ns  
d
6
a  
ca
Fal  
plff  
to
E
Snt  
dio  
th
E
N2)  
dal  
foal  
fo
N
E
0.005 (Norm 2)  
c1ab/c c2 d/c Specifies either mixed fraction (ab/c) or improper  
fraction (d/c) for display of fractions in calculation results.  
c3CMPLX 1a+bi ; 2rSpecifies either rectangular coordinates  
(a+bi) or polar coordinates (r) for EQN Mode solutions.  
c4STAT 1ON ; 2OFF Specifies whether or not to display a FREQ  
(frequency) column in the STAT Mode Stat Editor.  
c5TABLE 1f(x) ; 2f(x),g(x) Specifies whether to use function f(x)  
only or the two functions f(x) and g(x) in the TABLE Mode.  
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c6Rdec 1ON ; 2OFF  
Specifies whether or not to display  
calculation results using recurring decimal form.  
c7Disp 1Dot ; 2Comma Specifies whether to display a dot or  
a comma for the calculation result decimal point. A dot is always displayed  
during input.  
Note: When dot is selected as the decimal point, the separator for multiple  
results is a comma (,). When comma is selected, the separator is a  
semicolon (;).  
c8]CONT'  
Adjusts display contrast. See “Adjusting Display  
Contrast” for details.  
Initializing Calculator Settings  
Pe  
cap  
m
1
B
Cu  
prd  
a
*1 ns  
*2 ol  
s,  
s,  
ly  
*3 e  
omitted.  
Input example omitting **2 and )*3 operations in the above  
example.  
Math  
4s30)(30+10*3=  
Note: • If the calculation becomes longer than the screen width during  
input, the screen will scroll automatically to the right and the ] indicator will  
appear on the display. When this happens, you can scroll back to the left by  
using d and e to move the cursor. • When Linear Display is selected,  
pressing f will cause the cursor to jump to the beginning of the calculation,  
while c will jump to the end. • When Natural Display is selected, pressing  
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e while the cursor is at the end of the input calculation will cause it to jump  
to the beginning, while pressing d while the cursor is at the beginning will  
cause it to jump to the end. • You can input up to 99 bytes for a calculation.  
Each numeral, symbol, or function normally uses one byte. Some functions  
require three to 13 bytes. • The cursor will change shape to k when there are  
10 bytes or less of allowed input remaining. If this happens, end calculation  
input and then press =.  
Calculation Priority Sequence  
The priority sequence of input calculations is evaluated in accordance with the  
rules below. When the priority of two expressions is the same, the calculation  
is performed from left to right.  
1st  
Parenthetical expressions  
Functions that require an argument to the right and a closing  
2
3
4
5
6
7
8
9
1
1
1
1
Inputting with Natural Display  
Selecting Natural Display makes it possible to input and display fractions  
2
3
−1  
and certain functions (log, x , x , x^, ), #, ", x , 10^, e^, , d/dx, Σ, Π,  
Abs) just as they are written in your textbook.  
2 + 2  
'
B
Math  
1 + 2  
'
'2+!2ee1+!2=  
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Important: • Certain types of expressions can cause the height of a  
calculation formula to be greater than one display line. The maximum  
allowable height of a calculation formula is two display screens (31 dots × 2).  
Further input will become impossible if the height of the calculation you are  
inputting exceeds the allowable limit. • Nesting of functions and parentheses  
is allowed. Further input will become impossible if you nest too many functions  
and/or parentheses. If this happens, divide the calculation into multiple parts  
and calculate each part separately.  
Note: When you press = and obtain a calculation result using Natural  
Display, part of the expression you input may be cut off. If you need to view  
the entire input expression again, press A and then use d and e to  
scroll the input expression.  
Using Values and Expressions as Arguments  
(Natural Display only)  
A e  
are  
it
Aer  
1is  
spp  
to o  
th
T7,  
1),  
1
O
You can select either insert or overwrite as the input mode, but only while  
Linear Display is selected. In the overwrite mode, text you input replaces the  
text at the current cursor location. You can toggle between the insert and  
overwrite modes by performing the operations: 1Y(INS). The cursor  
appears as “I” in the insert mode and as “ ” in the overwrite mode.  
Note: Natural Display always uses the insert mode, so changing display  
format from Linear Display to Natural Display will automatically switch to  
the insert mode.  
Correcting and Clearing an Expression  
To delete a single character or function: Move the cursor so it is directly to  
the right of the character or function you want to delete, and then press Y.  
In the overwrite mode, move the cursor so it is directly under the character  
or function you want to delete, and then press Y.  
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To insert a character or function into a calculation: Use d and e to  
move the cursor to the location where you want to insert the character or  
function and then input it. Be sure always to use the insert mode if Linear  
Display is selected.  
To clear all of the calculation you are inputting: Press A.  
Recurring Decimal Calculations  
Your calculator uses a recurring decimal when you input a value. Calculation  
results also can be displayed using recurring decimal form whenever  
applicable.  
Inputting a Recurring Decimal  
When inputting a recurrent decimal, press a!(k) before inputting its  
period (repetend) and then input the period up to the ending value. To input  
thn:  
“0
Imo  
ng  
d
428571  
To calculate 1.021 + 2.312  
B
Math  
Math  
1.a!(k)021e+  
2.a!(k)312=  
Calculation result displayed as recurring  
decimal value:  
f
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Note: • You can specify up to 14 decimal places for the recurring decimal  
period. If you input more than 14 decimal places, the value will be treated as  
a terminating decimal and not a recurring decimal. • Recurring decimal value  
input can be performed regardless of the Rdec setting on the setup menu.  
Displaying a Calculation Result as a Recurring  
Decimal Value  
Calculation results that can be displayed as recurring decimal values will be  
displayed as such when ON is selected for the Rdec setting on the setup  
menu. Pressing the f key will cycle between the available calculation result  
formats as shown below.  
Fraction  
Recurring Decimal  
Decimal Value According to Display (Norm, Fix, Sci) Settings  
D
D
R
1
1 ÷ 7 =  
= 0.142857 = 0.1428571429 (Norm 1)  
B
7
Math  
Math  
Math  
1/7!=  
Display as fraction:  
f
f
Display as recurring decimal:  
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Math  
Return to initial display format (Norm 1):  
1
f
= 0.142857 = 0.1428571429 (Norm 1)  
b
7
1'7=  
Display as recurring decimal:  
f
D
R
D
D
R
Conditions for Displaying a Calculation Result as a  
Recurring Decimal  
If a calculation result satisfies the following conditions, pressing f will  
display it as a recurring decimal value.  
• The total number of digits used in the mixed fraction (including integer,  
numerator, denominator, and separator symbol) must be no more than  
10.  
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• The data size of value to be displayed as the recurring decimal must be no  
larger than 99 bytes. Each value and the decimal point require one byte,  
and each digit of the period requires one byte. The following, for example,  
would require of total of 8 bytes (4 bytes for the values, 1 byte for the decimal  
point, 3 bytes for the period): 0.123  
Note: For information about switching the display format of a calculation  
result when OFF is selected for the Rdec setting on the setup menu, see  
“Toggling Calculation Results”.  
Recurring Decimal Examples  
0.3 + 0.45 = 0.78  
B
Math  
0.a!(k)3e+  
0.a!(k)45=f  
Math  
Math  
12345'99999=  
f
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Toggling Calculation Results  
While Natural Display is selected, each press of f will toggle the currently  
displayed calculation result between its fraction form and decimal form, its  
' form and decimal form, or its π form and decimal form.  
1
6
π ÷ 6 =  
= 0.5235987756  
B
π
1
6
f
15(π)/6=  
0.5235987756  
5.913591358  
π
(
+ 2) ×  
=
= 5.913591358  
B
f
'
2
'
3
'
6 + 2 3  
'
(!2e+2)*!3= '  
'
6 + 2 3  
While Linear Display is selected, each press of f will toggle the currently  
di
5  
2  
Imay  
we  
to ot  
cop  
mm.  
Fm  
de  
mor  
sy
Ner  
inm.  
Pal  
foin  
th
Fraction Calculations  
Note that the input method for fractions is different, depending upon whether  
you are using Natural Display or Linear Display.  
2
3
1
2
7
6
7
6
7
6
B
b
2' 3e+ 1' 2=  
+
=
or ' 2c3e+'1c2 =  
2' 3+ 1' 2=  
7{6  
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1
2
1
2
1
2
1{2  
B
b
4-1'(()3e1c2=  
4-3'1'2=  
=
4 − 3  
Note: • Mixing fractions and decimal values in a calculation while Linear  
Display is selected will cause the result to be displayed as a decimal value.  
• Fractions in calculation results are displayed after being reduced to their  
lowest terms.  
To switch a calculation result between improper fraction and mixed  
fraction form: Perform the following key operation: 1f(  
)
<
To switch a calculation result between fraction and decimal form:  
Press f.  
Percent Calculations  
Ine  
a
0  
5  
5  
5  
Ds  
Ps,  
or a  
de.  
Yg  
is $  
{s
Nn  
if
2$20$30$+0$39$30$=  
3°0´0˝  
Convert 2°15´18˝ to its decimal equivalent.  
2$15$18$= 2°15´18˝  
(Converts sexagesimal to decimal.) $  
2.255  
(Converts decimal to sexagesimal.) $ 2°15´18˝  
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Multi-Statements  
You can use the colon character (:) to connect two or more expressions and  
execute them in sequence from left to right when you press =.  
3 + 3 : 3 × 3  
3+3S7(:)3*3=  
6
9
=
Using Engineering Notation  
A simple key operation transforms a displayed value to engineering  
notation.  
Transform the value 1234 to engineering notation, shifting the  
decimal point to the right.  
4  
03  
00  
l  
3  
06  
03  
C
In o  
aoll  
th
2
4
6
4
2
Nn  
yoy  
fo
Replay  
While a calculation result is on the display, you can press d or e to edit  
the expression you used for the previous calculation.  
4 × 3 + 2.5 = 14.5 b  
4 × 3 − 7.1 = 4.9  
4*3+2.5= 14.5  
(Continuing) dYYYY-7.1=  
4.9  
Note: If you want to edit a calculation when the ' indicator is on the right  
side of a calculation result display (see “Reading the Display”), press A  
and then use d and e to scroll the calculation.  
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Answer Memory (Ans)/Previous Answer Memory  
(PreAns)  
The last calculation result obtained is stored in Ans (answer) memory. The  
calculation result obtained prior to the last one is stored in PreAns (previous  
answer) memory. Displaying the result of a new calculation will move current  
Ans memory contents to PreAns memory and store the new calculation  
results in Ans memory. PreAns memory can be used only in the COMP  
Mode. PreAns memory contents are cleared whenever the calculator enters  
another mode from the COMP Mode.  
To divide the result of 3 × 4 by 30 b  
3*4=  
1)  
1)  
(Ans = T3 = 2, PreAns = T2 = 1)  
T
T
4
5
= T3 + T2 = 2 + 1  
=
(Ans = T4 = 3, PreAns = T3 = 2)  
= T4 + T3 = 3 + 2  
=
Result: The sequence is {1, 1, 2, 3, 5}.  
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Variables (A, B, C, D, E, F, X, Y)  
Your calculator has eight preset variables named A, B, C, D, E, F, X, and Y. You  
can assign values to variables and also use the variables in calculations.  
To assign the result of 3 + 5 to variable A  
3+51t(STO)y(A)  
8
To multiply the contents of variable A by 10  
(Continuing) Sy(A)*10=  
80  
8
To recall the contents of variable A (Continuing) ty(A)  
To clear the contents of variable A  
01t(STO)y(A)  
0
In
Ynt  
mn  
ze
0
0  
5  
5  
N
C
An  
if r.  
Pe  
cae  
w
!
Yer  
in a division calculation.  
To calculate the quotient and remainder of 5 ÷ 2  
Math  
B
b
5a'(÷R)2=  
5a'(÷R)2=  
Quotient Remainder  
Quotient Remainder  
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Note: • Only the quotient value of a ÷R calculation is stored in Ans memory.  
• Assigning the result of a remainder division calculation to a variable  
will assign the quotient value only. Performing the operation 5a  
'(÷R)2!t(STO))(X) (which assigns the result of 5÷R2 to X)  
will assign a value of 2 to X. • If a ÷R calculation is part of a multi-step  
calculation, only the quotient is passed on to the next operation. (Example:  
10+17a'(÷R)6=10 + 2) • Operation of the f and e keys is  
disabled while a remainder division result is on the display.  
Cases when Remainder Division becomes  
Non-remainder Division  
If either of the following conditions exists when you perform a remainder  
division operation, the calculation will be treated as normal (non-remainder)  
division.  
a  
In o  
pr
Wat  
is d  
w
Alt  
display.  
• Pressing !e(FACT) or =.  
• Pressing any of the following keys: . or e.  
• Using the setup menu to change the angle unit setting (Deg, Rad, Gra) or  
the display digits setting (Fix, Sci, Norm).  
Note: • You will not be able to execute prime factorization while a decimal  
value, fraction, or negative value calculation result is displayed. Trying to  
do so will cause a math error (Math ERROR). • You will not be able to  
execute prime factorization while the result of a calculation that uses Pol,  
Rec, ÷R is displayed.  
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Function Calculations  
For actual operations using each function, see the “Examples” section  
following the list below.  
π
: π is displayed as 3.141592654, but π = 3.14159265358980 is used for  
internal calculations.  
e: e is displayed as 2.718281828, but e = 2.71828182845904 is used for  
internal calculations.  
sin, cos, tan, sin−1, cos−1, tan1: Trigonometric functions. Specify the  
angle unit before performing calculations. See 1.  
sinh, cosh, tanh, sinh−1, cosh−1, tanh1: Hyperbolic functions. Input a  
function from the menu that appears when you press w. The angle unit  
setting does not affect calculations. See  
.
2
°, s,  
am  
th
$nt  
dy.  
S
loe  
1o  
cais  
ca
ln
x e  
thn  
w
Ne:  
2
x d.  
T).  
d  
m
ut  
sy
×  
1al  
Cs”  
for more information. See  
.
8
F: Function for approximation of the derivative based on the central  
d
difference method. Natural Display input syntax is  
x a, while  
( ( ))  
f x ͦ  
=
dx  
d
( ( )  
f x  
Linear Display input syntax is  
, a, tol). tol specifies tolerance,  
dx  
which becomes 1 × 10–10 when nothing is input for tol. Also see “Integration  
and Differential Calculation Precautions” for more information. See  
.
9
b
( ( ))  
f x  
8: Function that, for a specified range of  
f(x), determines sum  
Σ
x a  
=
b
( ( ))  
f x  
,
=
f
(a) +  
f
(a+1) +  
f
(a+2) + ...+  
f
(
b
). Natural Display input syntax is x a  
Σ
=
while Linear Display input syntax is Σ(f(x),  
a
,
b).  
a
and  
b
are integers that  
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can be specified within the range of –1 × 1010 ꢀ  
a
b
1 × 1010. See  
.
10  
Note: The following cannot be used in f(x): Pol, Rec, ÷R. The following cannot  
be used in f(x), a, or b: , d/dx, Σ, Π.  
9: Determines the product of f(x) over a given range. The calculation  
b
( ( ))  
formula is:  
f x = f(a) × f(a+1) × f(a+2) × ... × f(b). The Natural Display  
x a  
=
b
( ( ))  
input syntax is  
f x , while the Linear Display input syntax is (f(x), a,  
x a  
b). a and b are =integers in the range of a 1 × 1010, b 1 × 1010, a b.  
See  
.
11  
Note: The following cannot be used in f(x): Pol, Rec, ÷R. The following cannot  
be used in f(x), a, or b: , d/dx, Σ, .  
Pol, Rec: Pol converts rectangular coordinates to polar coordinates, while  
R
e  
P
ꢀ  
d  
Y.  
d  
ꢁ  
R
C
x
Ant  
dy.  
S
R1.  
Td.  
S
Rs  
a
n
Rd  
in or  
Sh  
Fix and Sc, the argument is rounded off to the specfed digtWhen Fx 3  
is the display digits setting, for example, the result of 10 ÷ 3 is displayed  
as 3.333, while the calculator maintains a value of 3.33333333333333 (15  
digits) internally for calculation. In the case of Rnd(10÷3) = 3.333 (with Fix  
3), both the displayed value and the calculator’s internal value become  
3.333. Because of this a series of calculations will produce different results  
depending on whether Rnd is used (Rnd(10÷3) × 3 = 9.999) or not used (10  
÷ 3 × 3 = 10.000). See  
GCD, LCM: GCD determines the greatest common divisor of two values,  
while LCM determines the least common multiple. See  
.
18  
.
19  
Int: Extracts the integer part of a value. See  
.
20  
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Intg: Determines the largest integer that does not exceed a value. See  
21  
.
Note: Using functions can slow down a calculation, which may delay display  
of the result. Do not perform any subsequent operation while waiting for the  
calculation result to appear. To interrupt an ongoing calculation before its  
result appears, press A.  
Integration and Differential Calculation Precautions  
• Integration and differential calculations can be performed in the COMP  
Mode (,1) only.  
• The following cannot be used in f(x): Pol, Rec, ÷R. The following cannot  
be used in f(x), a, b, or tol: , d/dx, Σ, Π.  
• When using a trigonometric function in f(x), specify Rad as the angle  
n  
P
n  
n  
or  
P
e  
s,  
d,  
o  
T
Wd  
n
Pe  
n
S Positive  
Positive Part Negative Part  
(S Positive) (S Negative)  
S Negative  
When integration values fluctuate widely due to minute shifts in the  
integration interval  
Divide the integration interval into multiple parts (in a way that breaks areas  
of wide fluctuation into small parts), perform integration on each part, and  
then combine the results.  
f (x)  
x1  
x2  
b f(x)dx =  
f(x)dx +  
f(x)dx + .....  
a
a
x
1
b
+
f(x)dx  
x
x
4
a
x1  
x2  
x3  
x4  
b
0
E-22  
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Examples  
sin 30°= 0.5 bv  
sin−10.5 = 30° bv 1s(sin−1)0.5)=  
s30)=  
0.5  
30  
1
2
3
sinh 1 = 1.175201194  
cosh–1 1 = 0  
wb(sinh)1)= 1.175201194  
wf(cosh−1)1)=  
0
π/2 radians = 90°, 50 grads = 45°  
v
(15(π)/2)1G(DRG')c(r)=  
501G(DRG')d(g)=  
90  
45  
5
To calculate e × 2 to three significant digits (Sci 3)  
4
1
02  
02  
3
4
4
1
00  
0  
6  
5  
2
2
1
'
3  
3  
2
1ln(x) = 1  
8
B 7iS)(X))e1eS5(e)=  
1
1
b
7iS)(X))1)(,)  
11)(,)S5(e))=  
To obtain the derivative at point x = π/2 for the function y = sin(x)  
9
V
B
17(F)sS)(X))  
e'15(π)e2=  
0
0
b
17(F)sS)(X))  
1)(,)15(π)'2)=  
E-23  
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5
(x + 1) = 20  
10 x  
Σ
1
=
B
b
1&(8)S)(X)+1e1e5=  
1&(8)S)(X)+11)(,)1  
1)(,)5)=  
20  
20  
5
(x + 1) = 720  
11  
12  
x
=1  
B
a&(9)S)(X)+1e1e5=  
a&(9)S)(X)+11)(,)1  
1)(,)5)=  
720  
720  
b
To convert rectangular coordinates ( ) to polar coordinates  
,
' '  
2
2
5  
2  
5  
1  
0  
0  
0  
9  
8  
7  
.)  
2
6
1
=
(Results shown here are for illustrative purposes only. Actual results will differ.)  
To determine the number of permutations and combinations  
possible when selecting four people from a group of 10  
17  
Permutations:  
101*(nPr)4=  
5040  
210  
Combinations: 101/(nCr)4=  
To perform the following calculations when Fix 3 is selected for the  
number of display digits: 10 ÷ 3 × 3 and Rnd(10 ÷ 3) × 3  
18  
b
1N(SETUP)6(Fix)3 10/3*3=  
10.000  
9.999  
10(Rnd)10/3)*3=  
E-24  
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To determine the greatest common divisor of 28 and 35  
S*(GCD)281)(,)35)=  
19  
7
To determine the least common multiple of 9 and 15  
S/(LCM)91)(,)15)=  
45  
To extract the integer part of −3.5  
20  
21  
S+(Int)-3.5)=  
−3  
−4  
To determine the largest integer that does not exceed −3.5  
S-(Intg)-3.5)=  
To  
ei)  
or er  
caer  
fo
i  
i  
5  
Nn  
ree  
cae  
of y  
is
C
i
2 2  
(1 + i)2 + (1 – i)2 = 0 B  
(1+W(i))w+(1-W(i))w=  
0
To obtain the conjugate complex number of 2 + 3i (Complex number  
format: a + bi)  
12(CMPLX)2(Conjg)2+3W(i))=  
2–3i  
To obtain the absolute value and argument of 1 + i Bv  
Absolute Value:  
1w(Abs)1+W(i)=  
'
45  
2
Argument:12(CMPLX)1(arg)1+W(i))=  
E-25  
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Using a Command to Specify the Calculation Result  
Format  
Either of two special commands ('ror 'a+bi) can be input at the end  
of a calculation to specify the display format of the calculation results. The  
command overrides the calculator’s complex number format setting.  
+
i = 2 45, 2 45 =  
+
i Bv  
'
2
'
2
'
2
'
2
!2e+!2eW(i)12(CMPLX)3('r)=  
21-()4512(CMPLX)4('a+bi)=  
245  
'+'i  
2
2
Using CALC  
CALC lets you save calculation expressions that contain variables, which you  
caX  
Mn  
sa
g  
A  
Math  
Math  
s (or =)  
7=20=  
To exit CALC: A  
E-26  
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To store A + Bi and then determine  
+ i, 1 +  
i using polar  
'
3
'
3
coordinates (r)  
v
CMPLX  
Math  
N2(CMPLX)  
S-(A)+Se(B)W(i)  
12(CMPLX)3('r)  
s!3)=1=  
s (or =)1=!3)=  
To exit CALC: A  
Nby  
pr
Se  
th
Te  
o
X  
X  
n  
5,  
Imn  
ps.  
Σ,  
Π
Math  
1s(SOLVE)  
Prompts for input of a value for Y  
Current value of Y  
Math  
0=1=-2=  
Current value of X  
E-27  
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Math  
Input an initial value for X (Here, input 1): 1=  
To exit SOLVE: A  
Solution screen  
Note: During the time from when you press 1s(SOLVE) until you exit  
SOLVE by pressing A, you should use Linear Display input procedures  
for input.  
Important: • Depending on what you input for the initial value for X (solution  
variable), SOLVE may not be able to obtain solutions. If this happens, try  
changing the initial value so they are closer to the solution. • SOLVE may not  
be able to determine the correct solution, even when one exists. • SOLVE  
uses Newton’s Law, so even if there are multiple solutions, only one of them  
we  
di
.
S
S
“(e  
ee  
to er  
th
C
Sa  
sog  
if
P
Sf(Y)Ss(=)  
S)(X)w-S)(X)+1  
Math  
1s(SOLVE)  
Math  
3=  
E-28  
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Math  
Math  
Input an initial value for X (Here, input 1): 1=  
=7==  
Math  
=13==  
TT)  
to e  
ty
T
S
P
P
P
P
P
P
P
P
NT  
Mode, perform the key operation 11(STAT/DIST)1(Type) to display  
the calculation type selection screen.  
Inputting Data  
Use the Stat Editor to input data. Perform the following key operation to  
display the Stat Editor: 11(STAT/DIST)2(Data).  
The Stat Editor provides 40 rows for data input when there is an X column  
only or when there are X and Y columns, 20 rows when there are X and FREQ  
columns, or 26 rows when there are X, Y, and FREQ columns.  
Note: Use the FREQ (frequency) column to input the quantity (frequency) of  
identical data items. Display of the FREQ column can be turned on (displayed)  
or off (not displayed) using the Stat Format setting on the setup menu.  
E-29  
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To select linear regression and input the following data:  
1
(170, 66), (173, 68), (179, 75)  
STAT  
N3(STAT)2(A+BX)  
STAT  
170=173=179=ce  
STAT  
66=68=75=  
Imer  
yod-  
van  
that  
Ets  
al
Tell  
thn  
pr
Tnt  
to
Te  
yon:  
1
Tg  
ke
O
Tn  
real  
vaw.  
Fn  
a
S
11(STAT/DIST) 3(Sum) 1 to 8  
Number of Items: n*, Mean: o*, p, Population Standard Deviation: σx*,  
σy, Sample Standard Deviation: sx*, sy  
11(STAT/DIST) 4(Var) 1 to 7  
Regression Coefficients: A, B, Correlation Coefficient: r, Estimated  
Values: m, n  
11(STAT/DIST) 5(Reg) 1 to 5  
Regression Coefficients for Quadratic Regression: A, B, C, Estimated  
Values: m1, m2, n  
11(STAT/DIST) 5(Reg) 1 to 6  
• See the table at the beginning of this section of the manual for the regression  
formulas.  
E-30  
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m, m1, m2 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.  
Minimum Value: minX*, minY, Maximum Value: maxX*, maxY  
11(STAT/DIST) 6(MinMax) 1 to 2  
(When the single-variable statistical calculation is selected.)  
11(STAT/DIST) 6(MinMax) 1 to 4  
(When a paired-variable statistical calculation is selected.)  
First Quartile: Q1, Median: med, Third Quartile: Q3  
11(STAT/DIST) 6(MinMax) 3 to 5  
(When the single-variable statistical calculation is selected.)  
Note: While single-variable statistical calculation is selected, you can input  
thon  
frn:  
1n  
C
1
R
)  
1
1N(SETUP)6(Fix)3  
STAT  
FIX  
N3(STAT)2(A+BX)  
20=110=200=290=ce  
3150=7310=8800=9310=  
A11(STAT/DIST)5(Reg)3(r)=  
A11(STAT/DIST)1(Type)4(In X)  
A11(STAT/DIST)5(Reg)3(r)=  
A11(STAT/DIST)5(Reg)1(A)=  
E-31  
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A11(STAT/DIST)5(Reg)2(B)=  
Results: Linear Regression Correlation Coefficient: 0.923  
Logarithmic Regression Correlation Coefficient: 0.998  
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, x1 and x2, 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 y when x = 160 in the  
4
R
Imd  
vaer  
of
P
Wm  
nm  
thn:  
1
P, of  
st
'e  
n
For the single variable data {xn ; freqn} = {0;1, 1;2, 2;1, 3;2, 4;2, 5;2,  
6;3, 7;4, 9;2, 10;1}, to determine the normalized variate ('t) when x  
= 3, and P(t) at that point up to three decimal places (Fix 3).  
5
1N(SETUP)c4(STAT)1(ON)  
1N(SETUP)6(Fix)3N3(STAT)1(1-VAR)  
STAT  
FIX  
0=1=2=3=4=5=6=7=9=  
10=ce1=2=1=2=2=2=3=  
4=2=1=  
E-32  
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STAT  
STAT  
FIX  
FIX  
A311(STAT/DIST)5(Distr)4('t)=  
11(STAT/DIST)5(Distr)1(P()G)=  
Results: Normalized variate ('t): –0.762  
P(t):  
0.223  
Base-n Calculations (BASE-N)  
P-to  
pal  
vae  
is al  
ns:  
wor  
i
Ai(OCT)7+1=  
Note: UsethefollowingkeystoinputthelettersAthroughFforhexadecimal  
values: -(A), $(B), w(C), s(D), c(E), t(F). • In the BASE-N  
Mode, input of fractional (decimal) values and exponents is not supported. If  
a calculation result has a fractional part, it is cut off. • The input and output  
ranges is 16 bits for binary values, and 32 bits for other types of values. The  
following shows details about input and output ranges.  
Input/Output Ranges  
Base-n Mode  
Positive: 0000000000000000 x 0111111111111111  
Binary  
Negative: 1000000000000000 x 1111111111111111  
E-33  
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