R. create an addition table for modulo 4: 1 22 0 ONI 1 2 3 S. create a multiplication table for modulo 4: 1 22 ol 1 2 IN 0 ml

Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter3: Data Representation
Section: Chapter Questions
Problem 16VE
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R. create an addition table for modulo 4:
+01 23
ol
IN IN
2
ml
3
S. create a multiplication table for modulo 4:
0 1 2 3
ol
1
IN
ml
Transcribed Image Text:R. create an addition table for modulo 4: +01 23 ol IN IN 2 ml 3 S. create a multiplication table for modulo 4: 0 1 2 3 ol 1 IN ml
Expert Solution
Addition table for modulo 4

1) Modular arithmetic tables are demonstrated for addition ) for modulus .

2) So addition table for modulo 4 is below, when sum of row and column becomes 4 or more, due to mod 4 operation it remains under 4, like

  • 4%4 =0, 5%4 =1, 6%4 = 2 and so on.
+ 0 1 2 3
0 0 1 2 3
1 1 2 3 0
2 2 3 0 1
3 3 0 1 2

 

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