Question

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

Answer 1

Given +₅ on set S = {0,1,2,3,4}

1 +₅ 1 = remainder obtained by dividing 1 + 1 by 5

= 2

3 +₅ 1 = remainder obtained by dividing 3 + 1 by 5

= 2

4 +₅ 1 = remainder obtained by dividing 4 + 1 by 5

= 3

Therefore, the composition table is as below

+5	0	1	2	3	4
0	0	1	2	3	4
1	1	2	3	4	0
2	2	3	4	0	1
3	3	4	0	1	2
4	4	0	1	2	3