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3. Binary Operations
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Q4 of 123 Page 3

Construct the composition table for x5 on Z5 = {0, 1, 2, 3, 4}

A composition table consists of elements which are a result of operation on the set elements.


Here we have the operation, a x5b = remainder of ab divided by 5 where a, b S. Similar as problem 1.



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2

Construct the composition table for + 5 on set S = {0, 1, 2, 3, 4}

3

Construct the composition table for x6 on set S = {0, 1, 2, 3, 4, 5}.

5

For the binary operation x10 on set S = {1, 3, 7, 9}, find the inverse of e3.

6

For the binary operation x7 on the set of S = {1, 2, 3, 4, 5, 6} compute 3 – 1x74.

Questions · 123
3. Binary Operations
1 1 1 1 1 1 1 2 2 2 2 2 2 3 4 5 6 7 8 9 10 1 1 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
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