Question

Calculate equivalence classes of mod 2. In each class put at
least two members.

Answer 1

Equivalence classes of mod 2 are sets of numbers that give the same remainder when divided by 2. The two classes are 0 (divisible by 2) and 1 (leaving a remainder of 1 when divided by 2).

Step-by-step explanation:

In modular arithmetic, equivalence classes, also known as residue classes, are sets of numbers that give the same remainder when divided by a certain number, which in this case is 2.

Mod 2 means dividing a number by 2 and looking at the remainder. The two possible remainders are 0 and 1.

So, the equivalence class of mod 2 would be:

1. Class 0: Numbers that are divisible by 2, such as 0, 2, 4, 6, etc.
2. Class 1: Numbers that leave a remainder of 1 when divided by 2, such as 1, 3, 5, 7, etc.