Write the composition table for the binary operation multiplicati… - Vidyadip

Question

Write the composition table for the binary operation multiplication modulo 10 (×₁₀) on the set S = {2, 4, 6, 8}.

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Answer

2 ×₁₀4 = Remainder obtained by dividing 2 × 4 by 10 = 8
4 ×₁₀6 = Remainder obtained by dividing 4 × 6 by 10 = 4
2 ×₁₀8 = Remainder obtained by dividing 2 × 8 by 10 = 6
3 ×₁₀4 = Remainder obtained by dividing 3 × 4 by 10 = 2
Therefore, the composition table is as follows:

×₁₀	2	4	6	8
2	4	8	2	6
4	8	6	4	2
6	2	4	6	8
8	6	2	8	4

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