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