Question: Problem 1: Suppose that instead of a binary counter we consider an octal counter, using digits 0,1,,7. Prove that the number of digit changes when

Problem 1: Suppose that instead of a binary counter we consider

Problem 1: Suppose that instead of a binary counter we consider an octal counter, using digits 0,1,,7. Prove that the number of digit changes when we increase i from 0 to n is at most 78n. You must provide two proofs: (a) the first one using a charging argument, and (b) the second one using a potential argument

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