Construct the composition table for ×4 on set S = 0, 1, 2, 3 . - Vidyadip

Question

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

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Answer

Here,
1×₄1 = Remainder obtained by dividing 1 × 1 by 4 = 1
0×₄1 = Remainder obtained by dividing 0 × 1 by 4 = 0
2×₄3 = Remainder obtained by dividing 2 × 3 by 4 = 2
3×₄3 = Remainder obtained by dividing 3 × 3 by 4 = 1
Therefore,
The composition table is as follows:

x₄	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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