Tool to automatically detect the parity of a list of numbers. The parity of a number is the property that to be (or not to be) a multiple of two. An integer multiple of 2 is an even integer, the others are odd integers.

Even or Odd Numbers - dCode

Tag(s) : Data Processing, Mathematics

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A number is even if it is a multiple of $ 2 $ (two). A number is multiple of $ 2 $ if it has $ 2 $ as divisor. An integer number has the number $ 2 $ as a divisor if the remainder of the division by $ 2 $ is $ 0 $ (ie the result is an integer and not a floating point number).

__Example:__ $ 12 $ is even because $ 12 / 2 = 6 $ (integer)

__Example:__ $ 123 $ is odd because $ 123 / 2 = 61.5 $ (not integer)

The multiples of $ 2 $ end with `0`, `2`, `4`, `6` or `8`. Check if a number is multiple of $ 2 $ can thus be realized quickly by looking at the last digit of the number.

The calculation modulo 2 (noted `%2`) is widespread in computing to check the parity of a number. The calculation returns `1=true` if the number is odd and `0=false` if the number is even.

__Example:__ `1234%2=0` therefore `1234` is even

Excel has a function `ISODD()`, else there is a formula `=IF(MOD(A1,2),"odd","even")`

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Cite as source (bibliography):

*Even or Odd Numbers* on dCode.fr [online website], retrieved on 2024-06-15,

even,odd,parity,modulo,2,multiple,two

https://www.dcode.fr/even-odd

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