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Even or Odd Numbers

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.

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Even or Odd Numbers -

Tag(s) : Data processing, Mathematics

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# Even or Odd Numbers

## Parity Filter/Calculator

 Action Filter even numbers Filter odd numbers Binarize each Digit (Even = 0, Odd = 1) Binarize each Digit (Even = 1, Odd = 0) Binarize each Number (Even = 0, Odd = 1) Binarize each Number (Even = 1, Odd = 0)

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.

### How to check if a number is even?

A number is even if it is a multiple of $2$ (two). A number is multiple of $2$ if it has $2$ as divisor. A number has $2$ 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.

### What is the modulo 2 calculation?

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

### How to check a number parity in Excel?

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

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