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Question -

Construct the composition table for ×6 onset 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

So, the compositiontable 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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