Find the sum and product in Z8 6 5 5 x 5 SolutionGiven Z

Find the sum and product in Z₈

^{6 + 5 = ?}

^{5 x 5 = ?}

Solution

Given Z8.

Finding 6+5:

we know that 6+5=11

For Z8, 6+5=11 modulo 8

Divide 11 by 8,then remainder will be the answer.

By dividing 11 with 8, remainder is 3

Therefore, 6+5=3

Finding 5x5:

We know that 5x5=25

For Z8, 5x5=25 modulo 8

Divide 25 by 8,then remainder will be the answer.

By dividing 25 by 8,remainder is 1.

Therefore,5x5=1