Question

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

Answer 1

1 \[+_5\] 1 = Remainder obtained by dividing 1 + 1 by 5

= 2

3 \[+_5\] 4 = Remainder obtained by dividing 3 + 4 by 5
           = 2

4 \[+_5\] 4 = Remainder obtained by dividing 4 + 4 by 5
             = 3

So, the composition table is as follows :

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