Question: Prove that every positive integer has a binary representation. More precisely, prove that for any positive integer n, there exists a sequence a_0, . .
Prove that every positive integer has a binary representation. More precisely, prove that for any positive integer n, there exists a sequence a_0, . . . , a_k of 0s and 1s, with
a_k = 1, such that
(so, a_k,a_k1 . . . a_0 is the binary representation of n). You may use the fact that for any positive integer n, there exists a non-negative integer such that 2 n
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