
Concept explainers
To compute: The addition and multiplication table for the integers mod 4.

Answer to Problem 1E
The addition and multiplication table for the integers mod 4 are:
Explanation of Solution
Definition used:
“Let n be a positive integer with
“For any two integers a and b in
Calculation:
The addition and multiplication table for the integers mod 4 is to be calculated.
Thus,
By the definition of
Add 0 with each element of
Add 1 with each element of
Add 2 with each element of
Add 3 with each element of
The remainders form the addition table for the integers mod 4 as follows:
Similarly, multiply each elements of
Multiply 1 with each element of
Multiply 2 with each element of
Multiply 3 with each element of
The remainders form the multiplication table for the integers mod 4 as follows:
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Chapter 10 Solutions
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