Hi guys: Can any one please help me in that problem. I dont understand how this table is created ? Thanks.

Compute the following airthmetic problems in Z/8. Represent answer with the least positive representative of the appropriate equivalence class.

a. [3] + [7]

b. [2] . ([4] + [5])

Addition and multiplication tables for Z/6.

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+ 0 1 2 3 4 5

0 0 1 2 3 4 5

1 1 2 3 4 5 0

2 2 3 4 5 0 1

3 3 4 5 0 1 2

4 4 5 0 1 2 3

5 5 0 1 2 3 4

x 0 1 2 3 4 5

0 0 0 0 0 0 0

1 0 2 3 4 5 0

2 0 2 4 0 2 4

3 0 3 0 3 0 3

4 0 4 2 0 4 2

5 0 5 4 3 2 1

mustish1

Asked:

you divide by 6 and take the remainder

e.g.

5 x 5 = 25

25 divided by 6 = 4 remainder 1

you only need the '1', as in the table

although some of the values in the 'x' table look wrong, for example 1 x 1 = 1 , not 2 as in the table

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note also your question asks for z/6, but your tables are z/6

so for z/8, work out then divide by 8, and keep the remainder