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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.

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โˆ™ 2012-10-01 20:14:48
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Q: How could you determine whether a sum of numbers such as 127 plus 38 is even or odd?
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