We all know even numbers are the ones that end in even digits. How do we analyze even numbers in base 2?
2026-04-04 14:22:14.1775312534
Even numbers in base 2
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HINT: Look at the last (least significant) digit.
Remember, if $n=(b_mb_{m-1}\dots b_1b_0)_{\text{two}}$, so that the binary digits from left to right are $b_m,\dots,b_0$, then
$$n=\sum_{k=0}^mb_k2^k=2^mb_m+2^{m-1}b_{m-1}+\ldots+2b_1+b_0\;.$$