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Binary Operations — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsBinary Operations3 Marks
Question
Construct the composition table for ×6 on set S = {0, 1, 2, 3, 4, 5}.
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Answer

Here,
1×61 = Remainder obtained by dividing 1 × 1 by 6 = 1
3×64 = Remainder obtained by dividing 3 × 4 by 6 = 0
4×65 = Remainder obtained by dividing 4 × 5 by 6 = 2
So, the composition table is as follows:
×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

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