Degrees, Minutes, Seconds Calculations
You can perform sexagesimal calculations using degrees
(hours), minutes and seconds, and convert between
sexagesimal and decimal values.
FIX, SCI, RND
As the number of decimal places is specified, the intermediate
result will be automatically rounded to the specified decimal
places. However, the stored intermediate result is not rounded.
In order to match the displayed value and the stored value,
[SHIFT] [Rnd]
can be input.
• To change the settings for the number of decimal places, the
number of significant digits, or the exponential display
format, press the
[MODE]
key a number of times until you
reach the setup screen shown below:-
• Press the number key (
[1]
,
[2]
, or
[3]
) that corresponds to the
setup item you want to change.
[1]
(Fix):
Number of decimal places
[2]
(Sci):
Number of significant digits
[3]
(Norm): Exponential display format
– 12 –
Example
Operation
Display
To express 2.258 degrees
in deg/min/sec.
To perform the calculation:
12º34'56"
3.45
2.258 [º' "][=]
12[º' "]34[º' "]56[º' "][
]
3.45[=]
2º15º28.8
43º24º31.2
Display
Example
Operation
(Lower)
200
7
14 = 400
rounded to 3 decimal
places
round the stored
intermediate result to
the specified three
decimal places
Cancel specification by
specifying Norm1 again.
200[
]7 [
] 14[=]
[MODE]...[1] (Fix) [3]
200[
]7 [=]
The intermediate result is automatically
rounded to the specified three decimal places.
[SHIFT] [Rnd]
[
]
14 [=]
[MODE]...[3] (Norm) [1]
400.
400.000
28.571
28.571
Ans
(upper display)
399.994
399.994
Fix Sci Norm
1 2 3
Memory Calculations
Answer Memory
• Whenever you press
[=]
after inputting values or an
expression, the calculated result automatically updates
Answer Memory contents by storing the result.
• In addition to
[=]
, Answer Memory contents are also updated
with result whenever you press
[SHIFT] [%]
,
[M+]
,
[SHIFT]
[M–]
or
[SHIFT] [STO]
followed by a letter (A through F, or M,
X, or Y).
• You can recall Answer Memory contents by pressing
[Ans]
.
• Answer Memory can store up to 12 digits for the mantissa
and two digits for the exponent.
• Answer Memory contents are not updated if the operation
performed by any of the above key operations result in an
error.
Consecutive Calculations
• A calculation result produced by pressing
[=]
can be used in
the next calculation.
• The result of a calculation can also be used with a
subsequent Type A function (x
2
, x
3
, x
–1
, x!),
,
,
ˆ
(x
y
),
x
√
,
,
,
nPr, nCr and º ' '',
Independent Memory
• Values can be input directly into memory, added to memory, or
substracted from memory. Independent memory is convenient
for calculating cumulative totals.
• Independent memory uses the same memory area as variable M.
• To clear independent memory (M), input
[0] [SHIFT] [STO] [M]
.
Example:
Input 123 to independent memory.
[AC] [1] [2] [3]
[M+]
Recall memory data
[AC]
[RCL] [M]
– 13 –
123_
0.
D
123M+
123.
D
_
0.
D
M=
123.
D
Add 25, subtract 12
25 [M+] 12 [SHIFT] [M–]
Recall memory data
[AC]
[RCL] [M]
Variables
• There are nine variables (A through F, M, X and Y), which can
be used to store data, constants, results, and other values.
• Use the following operation to delete data assigned to a
particular variable:
[0] [SHIFT] [STO] [A]
. This operation
deletes the data assigned to variable A.
• Perform the following key operation when you want to clear
the values assigned to all of the variables:
[SHIFT] [CLR] [1]
[=]
.
Scientific Function Calculations
Use the
[MODE]
key to enter the COMP Mode when you want
to perform basic calculations (
[MODE] [1]
).
• Certain types of calculations may take a long time to
complete.
• Wait for the result to appear on the display before starting
the next calculation.
•
π
= 3.14159265359
Trigonometric/Inverse Trigonometric Functions
• To change the default angle unit (degrees, radians, grads),
press the
[MODE]
key a number of times until you reach the
angle unit setup screen shown below:-
• Press the number key (
[1]
,
[2]
or
[3]
) that corresponds to the
angle unit you want to use.
(90º =
π
/2 radians = 100 grads)
– 14 –
_
0.
D
M=
136.
D
12M-
12.
D
Deg Rad Gra
1 2 3
Hyperbolic/Inverse Hyperbolic Functions
– 15 –
Display
Example
Operation
(Lower)
sin 63º52'41"
= 0.897859012
cos (
π
/3 rad) = 0.5
tan (–35 grad)
= –0.612800788
2sin45º
cos65º
= 0.597672477
sin
–1
0.5 = 30
cos
–1
(
√
2/2)
= 0.785398163 rad
=
π
/4 rad
tan
–1
0.741
= 36.53844577º
= 36º32' 18.4"
2.5
(sin
–1
0.8
cos
–1
0.9)
= 68º13'13.53"
[MODE]...[1] (Deg)
[sin] 63 [º ' "] 52 [º ' "]
41 [º ' "][=]
[MODE]...[2] (Rad)
[cos][(] [SHIFT][
π
][
]3
[)] [=]
[MODE]...[3] (Grad)
[tan] [(–)] 35 [=]
[MODE]...[1] (Deg)
2[sin] 45 [cos] 65 [=]
[SHIFT][sin
–1
] 0.5 [=]
[MODE]...[2] (Rad)
[SHIFT][cos
–1
][(][
√
]2 [
]2
[)][=]
[
][SHIFT][
π
][=]
[MODE]...[1] (Deg)
[SHIFT][tan
–1
]0.741[=]
[SHIFT] [
←
º' "]
2.5[
] [(] [SHIFT] [sin
–1
]0.8
[
] [SHIFT] [cos
–1
] 0.9 [)]
[=] [SHIFT] [
←
º' "]
0.897859012
0.5
–0.612800788
0.597672477
30.
0.785398163
0.25
36.53844577
36º32º18.4
68º13º13.53
Display
Example
Operation
(Lower)
sinh3.6= 18.28545536
cosh1.23 = 1.856761057
tanh2.5= 0.986614298
cosh1.5
sinh1.5
= 0.22313016
sinh
–1
30 = 4.094622224
cosh
–1
(20/15)
= 0.795365461
x = (tanh
–1
0.88) / 4
= 0.343941914
sinh
–1
2
cosh
–1
1.5
= 1.389388923
sinh
–1
(2/3)
tanh
–1
(4/5)
= 1.723757406
[hyp][sin] 3.6 [=]
[hyp][cos] 1.23 [=]
[hyp][tan] 2.5 [=]
[hyp][cos] 1.5 [
][hyp]
[sin] 1.5 [=]
[hyp][SHIFT][sin
–1
] 30 [=]
[hyp][SHIFT][cos
–1
][(] 20
[
] 15 [)][=]
[hyp][SHIFT][tan
–1
]0.88
[
]4[=]
[hyp][SHIFT][sin
–1
]2[
]
[hyp][SHIFT][cos
–1
]1.5[=]
[hyp][SHIFT][sin
–1
][(]2[
]
3[)][
][hyp][SHIFT][tan
–1
]
[(]4[
]5[)][=]
18.28545536
1.856761057
0.986614298
0.22313016
4.094622224
0.795365461
0.343941914
1.389388923
1.723757406
Common and Natural Logarithms/Antilogarithms
Square Roots, Cube Roots, Roots,
Squares, Cubes, Reciprocals,
Factorials, Random Numbers,
π
– 16 –
Display
Example
Operation
(Lower)
log1.23
= 8.9905111
10
–2
In90 = 4.49980967
log456
In456
= 0.434294481
10
1.23
= 16.98243652
e
4.5
= 90.0171313
10
4
• e
–4
1.2 • 10
2.3
= 422.5878667
(–3)
4
= 81
–3
4
= –81
5.6
2.3
= 52.58143837
(78
23)
–12
= 1.305111829
10
–21
2
3.4
(5+6.7)
= 3306232
[log] 1.23 [=]
[In] 90 [=]
[log]456
[In]456 [=]
[SHIFT][10
x
] 1.23 [=]
[SHIFT][e
x
]4.5[=]
[SHIFT][10
x
]4[
][SHIFT][e
x
]
[(–)]4[
]1.2[
][SHIFT][10
x
]
2.3[=]
[(][(–)] 3 [)] [
ˆ
] 4 [=]
[(–)] 3 [
ˆ
] 4 [=]
5.6 [
ˆ
] 2.3 [=]
[(]78[
]23[)][
ˆ
][(–)]12[=]
2[
]3.4[
ˆ
][(]5[
]6.7[)][=]
0.089905111
4.49980967
0.434294481
16.98243652
90.0171313
422.5878667
81.
–81.
52.58143837
1.305111829
–21
3306232.001
Display
Example
Operation
(Lower)
√
2
√
5 = 3.65028154
3
√
5
3
√
(–27)
= –1.290024053
7
√
123 = 1.988647795
2
2
3
2
4
2
5
2
= 54
(
3)
2
= 9
12
3
= 1728
1/(1/3–1/4) = 12
8! = 40320
3
√
(36
42
49) = 42
Random number
generation (number is
in the range of 0.000 to
0.999)
3
π
= 9.424777961
[
√
]2[
][
√
]5[=]
[SHIFT][
3
√
]5[
][SHIFT][
3
√
]
[(][(–)]27[)][=]
7 [SHIFT][
x
√
] 123 [=]
2[x
2
][
]3[x
2
][
]4[x
2
]
[
]5[x
2
][=]
[(][(–)]3[)][x
2
][=]
12[x
3
][=]
[(]3[x
–1
][
]4[x
–1
][)]
[x
–1
][=]
8[SHIFT][x!][=]
[SHIFT][
3
√
][(]36[
]42[
]
49[)][=]
[SHIFT][Ran#][=]
3[SHIFT]
π
[=]
3.65028154
–1.290024053
1.988647795
54.
9.
1728
12.
40320.
42.
0.792
(random)
9.424777961
Permutation and Combination
Total number of permutations nPr = n!/(n
r)!
Total number of combinations nCr = n!/(r!(n
r)!)
Angle Unit Conversion
• Press
[SHIFT] [DRG
4
]
to display the following menu:-
• Press
[1]
,
[2]
or
[3]
converts the displayed value to the
corresponding angle unit.
– 17 –
Display
Example
Operation
(Lower)
Taking any four out of
ten items and arranging
them in a row, how many
different arrangements
are possible?
10
P
4
= 5040
Using any four numbers
from 1 to 7, how many
four digit even numbers
can be formed if none of
the four digits consist of
the same number?
(3/7 of the total number
of permutations will be
even.)
7
P
4
3
7 = 360
If any four items are
removed from a total
of 10 items, how many
different combinations
of four items are
possible?
10
C
4
= 210
If 5 class officers are
being selected for a
class of 15 boys and
10 girls, how many
combinations are
possible? At least one
girl must be included
in each group.
25
C
5
15
C
5
= 50127
10[SHIFT][nPr]4[=]
7[SHIFT][nPr]4[
]3[
]
7[=]
10[nCr]4[=]
25[nCr]5[
]15[nCr]5[=]
5040.
360.
210.
50127.
D R G
1 2 3
Coordinate Conversion {Pol(
x
,
y
), Rec(
r
,
)}
• Calculation results are automatically assigned to variables E
and F.
• Press
[RCL] [E]
to display value of
r
, or
[RCL] [F]
to display
value of
.
• Press
[RCL] [E]
to display value of
x
, or
[RCL] [F]
to display
value of
y
.
Engineering Notation Calculations
– 18 –
Display
Example
Operation
(Lower)
x
=14 and
y
=20.7, what
are
r
and
º?
x
=7.5 and
y
=–10, what
are
r
and
rad?
[Mode]...[1] (Deg)
[Pol(]14 [,]20.7[)][=]
[RCL][F]
[Mode]...[2] (Rad)
[Pol(]7.5[,][–]10[)][=]
[RCL][F]
24.98979792(
r
)
55.92839019(
)
12.5(
r
)
–0.927295218(
)
Display
Example
Operation
(Lower)
r
=25 and
= 56º, what
are x and y?
r
=4.5 and =2
π
/3 rad,
what are x and y?
[[Mode]...[1] (Deg)
[SHIFT][Rec(]25 [,]56[)][=]
[RCL][F]
[Mode]...[2] (Rad)
[SHIFT][Rec(]4.5[,][(]2[
]
3[
][SHIFT][
π
][)][)][=]
[RCL][F]
13.97982259(
x
)
20.72593931(
y
)
–2.25(
x
)
3.897114317(
y
)
Example
Operation
Display
Define degree first
Change 20 radian to
degree
To perform the following
calculation :-
10 25.5 gradients
The answer is expressed
in degree.
[Mode]...[1] (Deg)
20[SHIFT][DRG
4
][2][=]
10[SHIFT][DRG
4
][2]
[
]25.5[SHIFT][[DRG
4
]
[3][=]
20
r
1145.91559
10
r
25.5
g
595.9077951
Display
Example
Operation
(Lower)
123m
456 = 56088m
= 56.088km
78g
0.96 = 74.88g
= 0.07488kg
123[
]456 [=]
[ENG]
78[
]0.96 [=]
[SHIFT] [ENG]
56088.
56.088
03
74.88
0.07488
03
Standard Deviation
Use the
[MODE]
key to enter the SD Mode when you want to
perform statistical calculations using standard deviation
(
[MODE] [2]
).
• Always start data input with
[SHIFT] [CLR] [1] [=]
to clear
statistical memory (Scl).
• Input data using the key sequence shown below.
<
x
-data> [DT]
• Input data is used to calculate values for
n
,
∑
x
,
∑
x
2
,
x
,
n
and
n–
1
,
which you can recall using the key operations noted nearby.
Data Input Precautions
•
[DT] [DT]
inputs the same data twice.
• You can also input multiple entries of the same data using
[SHIFT] [;]
. To input the data 110 ten times, for example,
press
110 [SHIFT] [;] 10 [DT]
.
• You can perform the above key operations in any order, and
not necessarily that shown above.
• While inputting data or after inputting data is complete, you
can use the
[
5
]
and
[
6
]
keys to scroll through data you have
input. If you input multiple entries of the same data using
[SHIFT] [;]
to specify the data frequency (number of dat items)
as described above, scrolling through data shows both the
data item and a separate screen for the data frequency (Freq).
– 19 –
To recall this type of value:
Perform this key operation:
[SHIFT][S-SUM][1]
[SHIFT][S-SUM][2]
[SHIFT][S-SUM][3]
[SHIFT][S-VAR][1]
[SHIFT][S-VAR][2]
[SHIFT][S-VAR][3]
∑
x
2
∑
x
n
x
σ
n
σ
n–
1
Example
Operation
Display
Data 55, 54, 51, 55, 53,
53, 54, 52
What is deviation of the
unbiased variance, and
the mean of the above
data?
[MODE] [2]
(SD Mode)
[SHIFT][CLR][1][=]
(Stat clear)
55[DT]54[DT]51[DT]
55[DT]53[DT][DT]54[DT]
52[DT]
[SHIFT][S-SUM][3][=]
(Number of data)
[SHIFT][S-SUM][2][=]
(Sumof data)
[SHIFT][S-SUM][1][=]
(Sum of square of data)
[SHIFT][S-VAR][1][=]
(Mean)
[SHIFT][S-VAR][2][=]
(Population SD)
[SHIFT][S-VAR][3][=]
(Sample SD)
0.
0.
8.
8.
427.
22805.
53.375
1.316956719
1.407885953
You can then edit the displayed data, if you want. Input the
new value and then press the
[=]
key to replace the old value
with the new one.
• Pressing the
[DT]
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
[
5
]
and
[
6
]
by
pressing
[SHIFT] [CL]
. Deleting a data value causes all values
following it to be shifted up.
• Data values you register are normally stored in calculator
memory. 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
[2]
to exit data input without registering the value you
just input.
Press
[1]
if you want to register the value you just input,
without saving it in memory. If you do this, however, you will
not be able to display or edit any of the data you have input.
• To delete data you have just input, press
[SHIFT] [CL]
.
Regression Calculations
Use the
[MODE]
key to enter the REG Mode when you want to
perform statistical calculations using regression (
[MODE] [3]
).
• Entering the REG Mode displays screens like the ones shown
below.
• Press the number key (
[1]
,
[2]
or
[3]
) that corresponds to the
type of regression you want to use.
[1]
(Lin):
Linear regression
[2]
(Log): Logarithmic regression
[3]
(Exp):
Exponential regression
[
4
] [1]
(Pwr): Power regression
[
4
] [2]
(Inv):
Inverse regression
[
4
] [3]
(Quad): Quadratic regression
– 20 –
EditOFF ESC
1 2 3
Lin Log Exp
1 2 3
Pwr Inv Quad
1 2 3
• Always start data input with
[SHIFT] [CLR] [1] [=]
to clear
statistical memory.
• Input data using the key sequence shown below.
<
x
-data> [,] <
y
-data> [DT]
• The values produced by a regression calculation depend on
the values input, and results can be recalled using the key
operations shown in the table below.
• The following table shows the key operations you should use
to recall results in the case of quadratic regression.
• The values in the above tables can be used inside of
expressions the same way you use variables.
– 21 –
To recall this type of value:
Perform this key operation:
∑
x
2
∑
x
n
∑
y
2
∑
y
∑
xy
∑
x
3
∑
x
2
y
∑
x
4
x
x
σ
n
x
σ
n–1
y
y
σ
n
y
σ
n–1
[SHIFT] [S-SUM] [1]
[SHIFT] [S-SUM] [2]
[SHIFT] [S-SUM] [3]
[SHIFT] [S-SUM] [
4
] [1]
[SHIFT] [S-SUM] [
4
] [2]
[SHIFT] [S-SUM] [
4
] [3]
[SHIFT] [S-SUM] [
4
] [
4
] [1]
[SHIFT] [S-SUM] [
4
] [
4
] [2]
[SHIFT] [S-SUM] [
4
] [
4
] [3]
[SHIFT] [S-VAR] [1]
[SHIFT] [S-VAR] [2]
[SHIFT] [S-VAR] [3]
[SHIFT] [S-VAR] [
4
] [1]
[SHIFT] [S-VAR] [
4
] [2]
[SHIFT] [S-VAR] [
4
] [3]
Regression coefficient A
Regression coefficient B
Regression calculation other than quadratic regression
Correlation coefficient
r
x
y
[SHIFT] [S-VAR] [
4
] [
4
] [1]
[SHIFT] [S-VAR] [
4
] [
4
] [2]
[SHIFT] [S-VAR] [
4
] [
4
] [3]
[SHIFT] [S-VAR] [
4
] [
4
] [
4
] [1]
[SHIFT] [S-VAR] [
4
] [
4
] [
4
] [2]
To recall this type of value:
Perform this key operation:
Regression coeffinient C
x
1
x
2
y
[SHIFT] [S-VAR] [
4
] [
4
] [3]
[SHIFT] [S-VAR] [
4
] [
4
] [
4
] [1]
[SHIFT] [S-VAR] [
4
] [
4
] [
4
] [2]
[SHIFT] [S-VAR] [
4
] [
4
] [
4
] [3]
Linear Regression
The regression formula for linear regression is: y = A + B
x
Logarithmic, Exponential, Power, and Inverse Regression
• Use the same key operations as linear regression to recall
results for these types of regression.
• The following shows the regression formulas for each type of
regression.
Quadratic Regression
• The regression formula for quadratic regression is:
y
= A
B
x
C
x
2
– 22 –
Logarithmic Regression
Exponential Regression
Power Regression
Inverse Regression
y
= A
B•In
x
y
= A•
e
B
•
x
(In
y
= ln A
B
x
)
y
= A•
x
B
(In
y
= ln A
B ln
x
)
y
= A
B•1/
x
Example
Operation
Display
Temperature and length
of a steel bar
Temp
Length
10ºC
1003mm
15ºC
1005mm
20ºC
1010mm
25ºC
1011mm
30ºC
1014mm
Using this table, the
regression formula and
correlation coefficient
can be obtained. Based
on the coefficient
formula, the length of
the steel bar at 18ºC
and the temperature
at 1000mm can be
estimated. Furthermore
the critical coefficient
(
r
2
) and covariance can
also be calculated.
[MODE][3][1]
(Linear regression)
[SHIFT][CLR][1][=]
(Stat clear)
10[,]1003[DT]
15[,]1005[DT]
20[,]1010[DT]
25[,]1011[DT]
30[,]1014[DT]
[SHIFT][S-VAR][
4
][
4
][1][=]
(Regression coefficient A)
[SHIFT][S-VAR][
4
][
4
][2][=]
(Regression coefficient B)
[SHIFT][S-VAR][
4
][
4
][3][=]
(Correlation coefficient
r
)
18[SHIFT][S-VAR][
4
][
4
][
4
]
[2][=]
(Length at 18ºC)
1000[SHIFT][S-VAR][
4
][
4
]
[
4
][1][=]
(Temp at 1000mm)
[SHIFT][S-VAR][
4
][
4
][3][x
2
]
[=]
(Critical coefficient)
[(][SHIFT][S-SUM][
4
][3][
]
[SHIFT][S-SUM]3[
][SHIFT]
[S-VAR][1][
][SHIFT][S-VAR]
[
4
][1][)][
][(][SHIFT][S-SUM]
[3][
]1[)][=]
(Covariance)
0.
0.
1.
2.
3.
4.
5.
997.4
0.56
0.982607368
1007.48
4.642857143
0.965517241
35.
Data Input Precautions
•
[DT] [DT]
inputs the same data twice.
• You can also input multiple entries of the same data using
[SHIFT] [;]
. To input the data "20 and 30" five times, for
example, press
20 [,] 30 [SHIFT] [;] 5 [DT]
.
• The above results can be obtained in any order, and not
necessarily that shown above.
• Precautions when editing data input for standard deviation
also apply for regression calculations.
To replace the battery:-
• Remove the two screws that hold the back cover in place and
then remove the back cover,
• Remove the old battery,
• Wipe off the side of the new battery with a dry, soft cloth.
Load it into the unit with the po) side facing up.
• Replace the battery cover and secure it in place with the two screws.
• Press
[ON]
to turn power on.
Auto Power Off
Calculator power automatically turns off if you do not perform
any operation for about six minutes. When this happens, press
[ON]
to turn power back on.
Specifications
Power supply: dual power with solar cell and a
AG13 battery
Operating temperature: 0º ~ 40ºC (32ºF ~ 104ºF)
– 23 –
Example
Operation
Display
xi
yi
29
1.6
50
23.5
74
38
103
46.4
118
48
Through quadratic
regression of the above
data, the regression
formula and correlation
coefficient are obtained.
Furthermore, the
regression formula is
used to obtain the
respective estimated
values of
y
and
x
, when
xi
= 16 and
yi
= 20.
[MODE][3][
4
][3]
(Quadratic regression)
[SHIFT][CLR][1][=]
(Stat clear)
29[,]1.6[DT]
50[,]23.5[DT]
74[,]38[DT]
103[,]46.4[DT]
118[,]48[DT]
[SHIFT][S-VAR][
4
][
4
][1][=]
(Regression coefficient A)
[SHIFT][S-VAR][
4
][
4
][2][=]
(Regression coefficient B)
[SHIFT][S-VAR][
4
][
4
][3][=]
(Regression coefficient
c
)
16[SHIFT][S-VAR][
4
][
4
][
4
]
[3][=]
(
y
when
xi
=16)
20[SHIFT][S-VAR][
4
][
4
][
4
]
[1][=]
(
x
1
when
yi
=20)
20[SHIFT][S-VAR][
4
][
4
][
4
]
[2][=]
(
x
2
when
yi
=20)
0.
0.
1.
2.
3.
4.
5.
–35.59856934
1.495939413
–6.71629667
–03
–13.38291067
47.14556728
175.5872105
