Construct the composition table for ×6 on set S = {0, 1, 2, 3, 4, 5}.
Construct the composition table for ×6 on set S = {0, 1, 2, 3, 4, 5}.

Answer:

1 ×1 = remainder obtained by dividing 1 × 1 by 6

= 1

3 ×4 = remainder obtained by dividing 3 × 4 by 6

= 0

4 ×5 = remainder obtained by dividing 4 × 5 by 6

= 2

Composition table:

×6 0 1 2 3 4 5
0 0 0 0 0 0 0
1 0 1 2 3 4 5
2 0 2 4 0 2 4
3 0 3 0 3 0 3
4 0 4 2 0 4 2
5 0 5 4 3 2 1