How to determine whether a number is even or odd in any base

created by polygnwnd

(idea) by polygnwnd (10.4 mon) (print) ? (I like it!) Thu Sep 20 2001 at 18:01:48

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 (B⁰). 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.

irrational-base number system	m_turner's postulate	Proving a function has only one root in a given interval	psychological sound trick
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Odd	Scientology

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