An "even" number is divisible by 2 with no remainder. For integer `N`

in integer base `B`

:

- If
`B`

is even:

- One can determine if
`N`

is even or odd by looking at the least significant digit of `N`

(`B`

^{0}). If it is odd then `N`

is odd. If it is even, `N`

is even.

- If
`B`

is odd:

- One can tell if
`N`

is even or odd by finding the sum of all the digits of `N`

. If the sum is an even number then `N`

is even. If the sum is odd, then `N`

is odd.