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3. Binary Operations
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Q3 of 123 Page 3

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

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


Here we have the operation, a x6 b = remainder of ab divided by 6 where a, b S.



This is the composition table of x4 on S = {0, 1, 2, 3, 4, 5}


For example, take 3 x6 2 = remainder of (3 x 2) divided by 6



More from this chapter

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1

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

2

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

4

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

5

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

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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