Citizen SR-135NPU: CALCULATION

SR135_English_090326.rtf     SIZE : 140x75mm     SCALE 2:1       

2009/3/26 

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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] [x

2

] 

.............. (1) 

[x]  

.............. (2) 

[7] [+] 

.............. (3) 

[3] [x] 

[ • ] [5] [x

y

] 

[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 (x

y

) and 

Root (

y

x

).Calculations takes on the value of constant. 

Example: 

1. 123 + 456 = 

7.  123 

÷

 4 

= 

2. 789 + 456 = 

8.  456 

÷

 4

 = 

3. 123 – 456 = 

9.  7

4

 = 

4. 789 – 456 = 

10. 8

4

 = 

 5. 

123 

x 456 = 

11. 

5

127

 = 

 6. 

123 

x 789 = 

12. 

5

1024

 = 

5. 

16. 

0.3125 

2.1875 

3. 

0.5 

0.5 

4.308820344  

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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] [x

y

] [4] [=]   

10 . 

[8] [=]   

11 . 

[1] [2] [7] [SHIFT] [

y

x

] [5] [=]   

12 . 

[1] [0] [2] [4] [=]   

3. Memory calculation 

Input and output the independent memory is done by pressing [X

→

M], 

[MR], [M+] 

Example: 

123 x 2 

   456 

x 

3 

   789 

x 

4 

+)      1470       

Total    6240 

 Key 

Input 

Display 

[ON/C] [X

→

M] 

[1] [2] [3] [x] [2] [M+] 

[4] [5] [6] [x] [3] [M+] 

[7] [8] [9] [x] [4] [M+] 

579. 

1245. 

–

333. 

333. 

56088. 

97047. 

30.75 

114. 

2401. 

4096. 

2.634879413 

4. 

0. 

M

    246. 

M

   1368. 

M

   3156. 

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[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, 

÷

, x

y

, 

y

x

, 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 

→

 rectangular 

Example: 

Key Input 

Display 

[2] [a]   

[60] [b]   

[SHIFT] [P

→

R]   

y

x

[b]   

M

   1470. 

M

   6240. 

0. 

6.4 

–

 0.88 

3.184 

2. 

60. 

1. 

1.732050808 

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(2) rectangular 

→

 polar 

Key Input 

Display 

[1] [a]   

[3] [

] [b]   

[SHIFT] [R

→

P]   

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. 

SR135_English_090326.rtf     SIZE : 140x75mm     SCALE 2:1       

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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] [

Σ

x] 

433 

Total of datum 

[SHIFT] [

Σ

x

2

] 

23465 

Total of square of datum 

[n] 

8 

Number of input data 

[

σ

n–1

] 

2.031009601

Standard deviation of 

samples (

σ

n–1

) 

[x

2

] 

4.125 

Unbiased of variance 

[SHIFT] [

σ

n

] 

1.899835519

Standard deviation of 

population (

σ

n

) 

[SHIFT] [SD] 

0 

Clear the statistics mode 

("SD" clear)