Construct the composition table for ×5 on set Z5 = {0, 1, 2, 3, 4} – InterviewSolution

InterviewSolution

1.

Construct the composition table for ×5 on set Z5 = {0, 1, 2, 3, 4}

Answer»

Given x₅ on set Z₅ = {0,1,2,3,4}

Now,

1 ×₅1 = remainder obtained by dividing 1 × 1 by 5

= 1

3 ×₅4 = remainder obtained by dividing 3 × 4 by 5

= 2

4 ×₅4 = remainder obtained by dividing 4 × 4 by 5

= 1

Therefore, the composition table is below

x₅	0	1	2	3	4
0	0	0	0	0	0
1	0	1	2	3	4
2	0	2	4	1	3
3	0	3	1	4	2
4	0	4	3	2	1

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