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Question -

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



Answer -

Given that ×4 onset S = {0, 1, 2, 3}

Here,

1 ×4 1= remainder obtained by dividing 1 × 1 by 4

= 1

0 ×4 1= remainder obtained by dividing 0 × 1 by 4

= 0

2 ×4 3= remainder obtained by dividing 2 × 3 by 4

= 2

3 ×4 3= remainder obtained by dividing 3 × 3 by 4

= 1

So, the compositiontable 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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