Q2 of 123 Page 3

Construct the composition table for + 5 on set S = {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 + 5 b = remainder of a + b divided by 5 where a, b S.



This is the composition table of x4 on S = {0, 1, 2, 3, 4}


For example, take 3 + 5 2 = remainder of (3 + 2) divided by 5



We also see that the operation + 5 is valid because all the output elements belong to the set S.


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