(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Whenever base b is even (b=2k for some integer k) a number H=(d_{(n-1)}d_{(n-2)}...d_{1}d_{0})_{b}is even <=> d_{0}is even.

2. Relevant equations

3. The attempt at a solution

I have formulated a proof for the forward direction (=>) but I am having trouble getting started on a proof for the backwards direction (<=) starting with the fact that d_{0}is even.

Any advice would be much appreciated. I know all the definitions I'm just unsure how to build from d_{0}is even.

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# Homework Help: Base b (not 10) proof (<=)

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