Given x5 on set Z5 = {0,1,2,3,4}
Now,
1 ×5 1 = remainder obtained by dividing 1 × 1 by 5
= 1
3 ×5 4 = remainder obtained by dividing 3 × 4 by 5
= 2
4 ×5 4 = remainder obtained by dividing 4 × 4 by 5
= 1
Therefore, the composition table is below
x5 |
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 |