What is Parity?
Parity tells us if a number is even or odd:
- An even number leaves no remainder when divided by \(2\). It is called even parity (eg, \(6 \div 2 = 3\) with remainder \(0\)).
- An odd number leaves a remainder of \(1\) when divided by \(2\). It is called odd parity (eg, \(7 \div 2 = 3\) with remainder \(1\)).
Addition Parity:
odd \(+\) odd \(=\) even
even \(+\) even \(=\) even
odd \(+\) even \(=\) odd
Subtraction Parity:
odd \(+\) odd \(=\) even
even \(+\) even \(=\) even
odd \(+\) even \(=\) odd
Product of Parity:
odd \(\times\) even \(=\) even
odd \(\times\) odd \(=\) odd
even \(\times\) even \(=\) even