Citizen SR-135T User manual

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FEATURES.........................................................................2
THE KEYBOARD AND OPERATING CONTROLS ............2
DISPLAY ..........................................................................10
CALCULATION ................................................................11
1. Calculation order of priority................................................ 11
2. Addition, subtraction, multiplication and division and
constant calculations. ........................................................ 12
3. Memory calculation............................................................ 13
4. Calculations with parenthesis. ........................................... 14
5. Coordinate conversion:...................................................... 14
6. Complex Calculation.......................................................... 15
7. Statistical calculation. ........................................................ 16
SPECIFICATIONS ............................................................17
AUTOMATIC POWER OFF ..............................................17
REPLACING THE BATTERIES........................................17
SR-135T
Scientific Calculator

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FEATURES
(1) Normal operations.
Four operation (+, −, x, ÷), xy,yx, auto-constant, parenthesis,
percentage.
(2) Memory calculation (XÆM, MR, M+).
(3) General mathematical function:
Trigonometric (3) Arctrigonometric (3)
Logarithmic (2) Exponential (2)
Square Power
Square Root Cube Root
Root π
Parenthesis Reciprocal
EXP +/−
SCI Factorial
DEG, RAD, GRAD Degree, minute, second conversion (2)
FIX X↔Y
RND Coordinate conversion.
(4) Binary, octal, decimal and hexadecimal mode.
Mutual conversions and calculations of binary, octal, decimal, and
hexadecimal numbers.
(5) Memory protection when power off.
(6) An automatic power off feature to preserve battery life.
(7) Statistics calculations.
• Number of sample (n).
• Total of square of all data (Σx2).
• Average (
x
).
• 2 kinds of the standard deviation (σn–1,σn).
• Total of all data (Σx).
(8) 2-variable function polar-rectangular coordinate conversion.
THE KEYBOARD AND OPERATING
CONTROLS
(1)
[] ON/C
SD
: 1. Power on and clear an error condition.
2. Set and clear the statistics mode.

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(2)
[] CE
x!
: 1. Clear entry key.
2. Factorial function (x!).
x! = n x (n−1) x (n−2) x (n−3) x .....x 2 x 1
(3) [OFF] : Power off key.
(4) [SHIFT] : This is the key for specifying the second function. When
this key is pressed, the special display “SHIFT” lights.
When this key press twice continuously, the second
function mode releas.
(5)
[] DRG
: a.Pressing this key will change the mode of angle unit
sequentially
ÆÆÆ DEG RAD GRAD
and display it
on LCD.
b. Pressing this key after [SHIFT] key shall change the
mode of angle and shall convert the displayed data.
DEG ÆRAD : RAD = DEG x π/180
RAD ÆGRAD : GRAD = RAD x 200/π
GRAD ÆDEG : DEG = GRAD x 180/200
(6) [0] ~ [9] : Press these keys in their logical sequence to enter
numbers.
(7)
[ ] y
RND
: a. Use to set the decimal point when entering numbers.
b. When press as the first number, it is regarded as [0]
and [ • ] keys are pressed.
c. Random as a second function.
Pressing this key shall display the random number.
The range of random number is 0.000~0.999.
(8) [+/−]: a. In setting data in the mantissa section, this key reverse
code in the mantissa section similarly for exponent
section, it reverse code in the exponent section.
b. For the operation result, this key reverse code in the
mantissa section.
(9) [+], [−], [x], [ ÷], [ ( ], [ ) ]
a. When the key operations are performed by these keys
according to a numerical expression, a result of operation is
obtained according to mathematical priorities. Priorities
discriminated are:
1) 1-variable function.
2) Expression in "( )"; (The most inner expression has priority
in case of multiple parenthesis)
3) xy,yx
4) x,
÷
5) +,
−

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b. Whenever the key is operated, the calculator discriminates the
above priorities and holds the data and operation keys pending
as required.
This pending action is possible up to 6 times, and 15 levels or
more pending become error.
c. [ ( ] key is accepted only immediately after [CE], [+], [−], [x], [÷],
[xy], [ yx], [=], [ ( ] keys can not accepted in all other cases.
When this key is accepted, the displayed data is cleared to 0.
When [ ( ] key is first accepted, the special display “( )”
illuminates.
When a parenthesis expression is completed [ ) ] and [=] key or
When it is cleared by the [ON/C] key, etc. or when errors are
generated, the special display “( )” goes out.
d. If it is within the allowable range of pending, [ ( ] can be input
into any place in an expression as many times as desired.
However, if the key is pressed continuously 16 times or more, it
becomes error.
e. From a viewpoint of numerical expression when the
corresponding “ ) ” key is not pressed, the operation is not
executed even if the “ ( ” key is pressed. On the other hand,
When the “ ( ” key is pressed and the “ = ” key is the pressed
without pressing the corresponding “ ) ” key, the operation is
also completed according to the priority.
(10) [XÆM], [MR], [M+] Memory calculation
a. The memory register “M” used by these keys is a completely
independent single memory.
b. Display data is added to “M” (memory register) by [M+] key. If
data overflows at this time, the proceeding data is hold.
c. Display data is stored in “M” by [XÆM] key.
d. Contents of “M” is displayed by [MR] key.
e. When any data except for 0 is stored in “M”, the special display
“M” illuminates.
(11)
[] EXP
: 1. Exponent select key.
2. This key display a rounded value : 3.141592654.
(12)
[]
=
%
: Calculation
a. When any arithmetic functions constant mode has been set, the
displayed number is converted from a percentage to a decimal.
Example: 61.5%
Key Input Display
[6] [1] [ • ] [5] [SHIFT] [%] 0.615
b. When [=] key is pressed after [%] following arithmetic function
will be executed.

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CALCULATION
EXAMPLE KEY OPERATION LCD DISPLAY
WHAT IS 30% OF
450?
450 [x] 30 [SHIFT] [%]
[=]
0.3
135.
WHAT
PERCENTAGE OF
600 IS 120?
(120÷600x100=20)
120 [÷] 600 [SHIFT] [%]
[=]
6.
20.
WHAT 25% OF 400
IS AN EXTRA?
(400+(400x25/100)
=500)
400 [+] 25 [SHIFT] [%]
[=]
100.
500.
WHAT 25% 0F 400
IS A DISCOUNT?
(400−(400x25/100)
=300)
400 [−] 25 [SHIFT] [%]
[=]
100.
300.
(13) Trigonometric and arctrigonometric function / Hyperbolic and arc
hyperbolic trigonometric function (1-variable)
([sin], [cos], [tan], [sin−1], [cos−1], [tan−1]).
These function are calculated according to respective defined
areas and accuracy shown in behind chart, any displayed result
of operation can become operators.
(14) Exponential and Logarithmic functions (1-variable).
([In], [Log], [eX], [10X]) Same as Trigonometric functions.
(15) Reciprocal, Square, Square Root, and Cube Root.
([1/x] , [x2], [ ] , [ 3])same as Trigonometric functions.
(16)
[ ]
a. These keys convert degrees, minutes, seconds, into
decimal degree and decimal degrees into degree
minutes, and seconds.
b. On the “ ” format, the integer part of display data is
regarded as degree, 2 digits below the decimal point
as minutes and the 3rd digit and belows as seconds.
Example:
[
] <degree minute second>
2.111111111 [SHIFT] [ ] 2 06 3999
(39.99seconds)
(17) Binary mode ([SHIFT],
[ ]
BI
N
, [0], [1] ).
a. Data input and output are both binary integers in a maximum
of 10 digits.
b. A negative number is expressed in binary of two's
complement.

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c. The range of internal operation is as shown below and if the
result of the operation exceed the range, it becomes an error
(overflow).
Binary Number Decimal Number
Outside the
operation range ___ 512 ≤DATA
Binary
Positive
Integer
111111111
111111110
111111101
:
:
10
1
0
511
510
509
:
:
2
1
0
Binary
Negative
Integer
(Complement)
111111111
111111110
111111101
: :
: :
1000000001
1000000000
−1
−2
−3
:
:
−511
−512
Outside the operation
range DATA ≤ −512
(18) Octal mode ( [SHIFT],
[ ] x
OCT
, [0] ~ [7] ).
a. Data input and output are both octal integers with a maximum
of 10 digits.
b. A negative number is expressed in the octal number display of
two’s complement.
c. The range of internal operation is as shown below and if the
result of the operation exceed the range, it becomes an error
(overflow).
Octal Number Decimal Number
Outside the
operation range ___ 536870912
≤ DATA
Octal
Positive
Integer
3777777777
3777777776
:
:
536870911
536870910
:
:

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1
0
1
0
Octal
Negative
Integer
(Complement)
777777777
777777776
111111101
: :
: :
4000000001
4000000000
−1
−2
:
:
−536870911
−536870912
Outside the operation
range
DATA
≤ −536870913
(19) Hexadecimal Mode ([SHIFT], [HEX], [0] ~ [9], [A] ~ [F]).
a. Data input and output are both hexadecimal integer with a
maximum of 10 digits.
b. A negative number is expressed in a hexadecimal number of
two's complement.
c. The range of internal operation is as shown below and if the
result of operation exceed the range, it becomes an error
(overflow).
Hexadecimal Number Decimal Number
Outside the
operation range ___ 1x1010 ≤ DATA
Hexadecimal
Positive
Integer
2 5 4 0 B E 3 F F
2 5 4 0 B E 3 F E
:
:
1
0
9999999999
9999999998
:
:
1
0
Hexadecimal
Negative
Integer
(Complement)
F F F F F F F F F F
F F F F F F F F F E
:
:
F D A B F 4 1 C 0 2
F D A B F 4 1 C 0 1
−1
−2
:
:
−9999999998
−9999999999
Outside the operation
range DATA ≤ −1x1010
(20)
[] SCI
FIX
1. Used to switch between display mode.
2. Used to set the number of digits display after the
decimal point. Example:

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Key input display
[2] [÷] [3] [=] 0.666666666
[SHIFT]
[] SCI
FIX
[5] 0.66667
[] SCI
FIX
6.66667-01
[SHIFT]
[] SCI
FIX
[ • ] 6.6666666-01
(21) [X↔Y] : Exchange key.
Used to exchange the displayed number with the
contents of an internal register.
(22) [a], [b], [RÆP], [PÆR] : Coordinate conversion.
a. These keys convert the rectangular coordinate into the polar
coordinate and the polar coordinate into the rectangular
coordinate. The range units that have been set by the [DRG]
key follow.
b. Respective defined areas and accuracy are as shown in
behind chart however, the range of
θ
obtained by RÆP in
degree is as follows:
1st Quadrant 0°
≤ θ ≤ 90°
2nd Quadrant 90°
≤ θ ≤ 180°
3rd Quadrant
−180° ≤ θ ≤ −90°
4th Quadrant
−90° ≤ θ ≤ 0°
c. Input of 2 variable is performed by setting x or r pressing [a]
key and y or
θ
pressing [b] key.
d. The operation result of x or r is obtained in the display register
or by pressing [a] key and y or
θ
by pressing [b] key.
Input Data Result
a b a b
RÆP
(RectangularÆPolar) x y r θ
PÆR
(PolarÆRectangular) rθx y
(Ær, θ) r = 22 yx +,θ= tan−1y/x
(Æx, y) x = r cos θ, y = r sinθ

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e. (RÆP Conversion)
([x, y]Æ[r, θ])
f. (PÆR Conversion)
([r, θ]Æ[x, y])
Key operation Display Key operation Display
x x θθ
a x b θ
y y r r
b y a r
RÆP r PÆR x
bθb y
(23) Statistical calculation mode ([SHIFT]
[] ON/C
SD
).
a. When you calculate the calculation of statistics, pressing
[SHIFT]
[] ON/C
SD
keys for statistics mode ("SD" sign ). When
you clear to statistics mode, press the same keys ([SHIFT]
[] ON/C
SD
).
b. You can't perform the memory calculation, parenthesis
calculation or conversion of coordinates.
c. [DATA] : Data entry key. [DEL] : Data clear key.
d. you can calculate the following statistical volume in this
calculator.
1. n : Number of data (Number of sample).
2.
Σx : Total of datum.
3.
Σx2: Total of square of each data.
4.
x
: Average of datum.
5.
σn–1: The sample standard deviation of the data.
6.
σn: The population standard deviation of the data.
n
x
n
i
Xi
n
xΣ =
=
Σ
=1
1
)(
1
1
)(
1
2
2
2
−
Σ
−Σ
=
−
=
−
Σ
=−
n
n
x
x
n
i
xXi
n
n
σ
n
n
x
x
n
i
xXi
n
n
2
2
2)(
1
)( Σ
−Σ
=
=
−
Σ
=
σ

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(24)
CPLX
: Digit erase / Complex number mode key. When
exponential portion is not specified:
[ Ź] : Upon pressing this key immediately after the
value is entered, displayed value is shifted to
the right and the last digit is erased.
Example: Entry Display
123456 Î 123456.
[ Ź]Î12345.
[ Ź] [ Ź]Î123.
456Î123456.
When exponential portion is entered: Numberals in
exponential ponential portion are shifted right and last digit
is erased. At this point, 0 replaces the first digit in the
exponential.
Example: Entry Display
5 [EXP] 24 Î5. 24
[ Ź] Î5. 02
[ Ź] Î5. 00
42 Î5. 42
[SHIFT] [CPLX] : Setting and clearing of complex number
mode are executed alternately.
(25) ][ y
Y
x
x: Power / Root key
[Xy] : Press any number [X], [Xy], any number [y], and [=] to raise
y to the x power.
[SHIFT] [ yx] : Press any number [x] [SHIFT] [ yx], any
number [y], and [=] to display the y root x.
DISPLAY
• Display style

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• Special display
Examples of display
• Floating of -6000 1/x; FIX =7
• Same as above, engineering display
• Error display
CALCULATION
1. Calculation order of priority.
Because there is automatic priority of operations Logic the
calculations, may be performed as expressed in the equation.
(Calculation order of priority).
1. Function calculations.
2. Calculation in ( ).
3. Power and Root calculation.
4. Multiplication and division.
5. Addition and subtraction.
(Where the priority of two operations are the same they are performed
in the order in which they appear).

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Example:
5 4 x 7 + 3 x 0.5 ÷
2 COS60
°
(1) (4)
(2) (5)
(3) (6)
(7)
= 4.308820344
Key Input Display
[5] [÷]
[4] [x2].............. (1)
[x] .............. (2)
[7] [+] ..............(3)
[3] [x]
[ • ] [5] [xy]
[6] [0] [cos] ..............(4)
[=] ......(5)(6)(7)
When execution starts with high priority calculations it is necessary to
save low priority calculation, and for that reason there are 6 internal
storage levels supplied.
These storage levels are also used in calculations involving
parenthesis, therefore as long as priority operations involving
parenthesis do not exceed 15 levels the calculations may be
performed as they appear in the equation.
2. Addition, subtraction, multiplication and
division and constant calculations.
The added in addition, subtracted in subtraction, multiplicand in
multiplication, the divisor in division and the x value in power (xy) and
Root ( yx).Calculations takes on the value of constant.
Example:
1. 123 + 456 = 7. 123 ÷4 =
2. 789 + 456 = 8. 456 ÷4 =
3. 123
−456 = 9. 74=
4. 789
−456 = 10. 84=
5. 123 x 456 = 11. 5127 =
5.
16.
0.3125
2.1875
3.
0.5
0.5
4.308820344

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6. 123 x 789 = 12. 51024 =
NO. Key Input Display
1 . [1] [2] [3] [+] [4] [5] [6] [=]
2 . [7] [8] [9] [=]
3 . [1] [2] [3] [−] [4] [5] [6] [=]
4 . [7] [8] [9] [=]
5 . [1] [2] [3] [x] [4] [5] [6] [=]
6 . [7] [8] [9] [=]
7 . [1] [2] [3] [÷] [4] [=]
8 . [4] [5] [6] [=]
9 . [7] [xy] [4] [=]
10 . [8] [=]
11 . [1] [2] [7] [SHIFT] [ yx] [5] [=]
12 . [1] [0] [2] [4] [=]
3. Memory calculation
Input and output the independent memory is done by pressing [XÆM],
[MR], [M+]
Example: 123 x 2
456 x 3
789 x 4
+) 1470
Total 6240
Key Input Display
[ON/C] [XÆM]
[1] [2] [3] [x] [2] [M+]
[4] [5] [6] [x] [3] [M+]
579.
1245.
−333.
333.
56088.
97047.
30.75
114.
2401.
4096.
2.634879413
4.
0.
M246.
M1368.

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[7] [8] [9] [x] [4] [M+]
[1] [4] [7] [0] [M+]
[MR]
4. Calculations with parenthesis.
Parenthesis are used when it is desired to perform calculations in a
first priority that usually followed for the +, −, x, ÷, xy,yx, operations.
In other words the “(” “)” force those prior operations it to be pending
until the calculation inside the parenthesis are performed.
Parenthesis may be used in a chained calculation as long as the total
of levels ending due to the automatic priority Logic and parenthesis
does not exceed 15.
Example: 6+ [(5−3.6+5)x0.8−6] x3.2 =
Key Input Display
[6] [+] [ ( ] [ ( ]
[5] [−] [3] [ • ] [6] [+] [5] [ ) ]
[x] [ • ] [8] [−] [6] [ ) ]
[x] [3] [ • ] [2] [=]
5. Coordinate conversion:
(1) polar Ærectangular
Example:
Key Input Display
[2] [a]
[60] [b]
[SHIFT] [PÆR]
y
x
[b]
M3156.
M1470.
M6240.
0.
6.4
−0.88
3.184
2.
60.
1.
1.732050808

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(2) rectangular Æpolar
Key Input Display
[1] [a]
[3] [ ] [b]
[SHIFT] [RÆP]
y
x
[b]
6. Complex Calculation
EXAMPLE KEY INPUT DISPLAY
(5 + 4i) + (6 + 3i)
= 11 + 7i
[SHIFT] [CPLX]
5 [a]
4 [b]
[+]
6 [a]
3 [b]
[b]
[=]
DEG CPLX
0.
DEG CPLX
5.
DEG CPLX
4.
DEG CPLX
0.
DEG CPLX
6.
DEG CPLX
3.
DEG CPLX
11.
DEG CPLX
7.
EXAMPLE KEY INPUT DISPLAY
6 x (7 −9i) x (−5 x 8i)
= 222 + 606i
[ON/C]
6 [a] [x]
7 [a] 9 [+/−] [b]
[x]
DEG CPLX
0.
DEG CPLX
0.
DEG CPLX
−
9.
DEG CPLX
0.
1.
1.732050808
2.
60.

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5 [+/−] [a] 8 [b]
[=]
[b]
DEG CPLX
8.
DEG CPLX
222.
DEG CPLX
606.
7. Statistical calculation.
Example:
(1) What is the average and standard deviation?
Data: 55, 53, 57, 54, 51, 56, 55, 52
Key Input Display Note
SD
[SHIFT] [SD] 0 set statistics mode
[5] [5] [DATA] 1 display the volume
[5] [3] [DATA] 2 of input data
[5] [7] [DATA] 3
[5] [4] [DATA] 4
[5] [1] [DATA] 5
[5] [6] [DATA] 6
[5] [5] [DATA] 7
[5] [2] [DATA] 8
[
x
] 54.125 Average of datum
[SHIFT] [Σx] 433 Total of datum
[SHIFT] [Σx2]23465 Total of square of datum
[n] 8 Number of input data
[σn–1]2.031009601 Standard deviation of samples
(σn–1)
[x2] 4.125 Unbiased of variance
[SHIFT] [σn]1.899835519 Standard deviation of population
(σn)
[SHIFT] [SD] 0 Clear the statistics mode ("SD"
clear)
(2) Recorrect of data
Key Input Display Note
[SHIFT] [SD] 0 Set statistics mode
[5] [0] [DATA] 1
[6] [0] [DATA] 2 Input the incorrect data (60)

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[6] [0] [SHIFT] [DEL] 1 Clear the incorrect data (60)
[5] [6] [DATA] 2 Input the correct data (56)
[5] [4] [x] [3] [DATA] 5 Input the incorrect data (54x3)
[5] [4] [x] [3] [SHIFT] [DEL] 2 Clear the incorrect data (54x3)
[5] [8] [x] [3] [DATA] 5 Input the correct data (58x3)
[5] [2] [x] [4] [DATA] 9 Input the incorrect data (52x4)
[5] [5] [DATA] 10 Input the correct data (55)
[5] [2] [x] [4] [SHIFT] [DEL] 6 Clear the incorrect data (52x4)
[SHIFT] [SD] 0 Clear the statistics mode ("SD"
clear)
SPECIFICATIONS
Display capacity : 10 digits full-floating or Mantissa 8 digits with
Exponent 2 digits plus 2 negative code
digits.
Components : CMOS / LSI
Display : Liquid crystal (FEM type)
Power supply : 3V (DC) GP76Ax2 Approx. 1500 hours when
used 2 hours a day.
Power consumption : 0.15mw
Operation Temperature : 0°C ~ 40°C (32°F ~ 104°F)
Size : 141mm (L) x 76mm (W) x 9mm (H)
Weight : 86g
AUTOMATIC POWER OFF
If any key is not pressed for about 7.5 minutes, the power is
automatically shut off.
REPLACING THE BATTERIES
Your calculator is powered by two alkaline-manganese batteries.
When the display dims, replace the batteries.
1. Unscrew the two screws on the back of the calculator.
2. Insert a flat bladed screwdriver into the slot between the upper and
lower case then carefully twist it to separate the case.
3. Remove both batteries and dispose of them properly. Never allow

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children to play with batteries.
4. Wipe off the new batteries with a dry cloth to maintain good contact.
5. Insert the two new batteries with their flat sides (plus terminals) up.
6. Align the upper and lower cases then snap them to close together.
7. Tighten the screws.