An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2.
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parity error
The parity rules are: Odd + Odd = Even Even + Even = Even Odd + Even = Odd Even + Odd = Odd So the parity where one number is even is that of the other number. This means that you can go through a list of numbers and ignore all the even numbers. Every PAIR of odd numbers has even parity and by the previous paragraph, even parity can be ignored. So you can pair off odd numbers and ignore them.
The 74180 is a 9-bit Odd/Even Parity Generator and Checker
Because the second number from an odd number is odd, and every other number is an odd number. In fact, if you add or subtract an even number with any number, the result keeps the same parity as the other number. So an odd number minus an even number is odd, while an even number minus and even number is even.
ECC stands for "error correcting code". It is a way to check for accuracy by adding one bit of redundant data (or parity data) to the end of each byte. As an example, when the digits of a byte total an odd number, the parity bit will be a zero. When it is even, it will be a one. If the parity bits do not match their respective bytes, the data is known to be corrupted.