Q1 of 123 Page 3

Construct the composition table for x4 on set S = {0, 1, 2, 3}.

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


Here we have the operation, a x4b = remainder of ab divided by 4 where a, b S.



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


For example, take 3 x4 2 = remainder of (3 x 2) divided by 4



We also see that the operation x4 is valid because all the output elements belong to the set S.


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