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Question
Construct the composition table for ×4 on set S = {0, 1, 2, 3}.
Solution
Here,
1
= 1
0
= 0
2
= 2
3
= 1
So, the composition table is as follows :
| ×4 | 0 | 1 | 2 | 3 |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 1 | 2 | 3 |
| 2 | 0 | 2 | 0 | 2 |
| 3 | 0 | 3 | 2 | 1 |
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