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Question -

Construct the composition table for ├Ч5┬аon set Z5┬а={0, 1, 2, 3, 4}



Answer -

Here,

1 ├Ч5┬а1= remainder obtained by dividing 1 ├Ч 1 by 5

= 1

3 ├Ч5┬а4= remainder obtained by dividing 3 ├Ч 4 by 5

= 2

4 ├Ч5┬а4= remainder obtained by dividing 4 ├Ч 4 by 5

= 1

So, the compositiontable is as follows:

├Ч5

0

1

2

3

4

0

0

0

0

0

0

1

0

1

2

3

4

2

0

2

4

1

3

3

0

3

1

4

2

4

0

4

3

2

1

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