Question: A Gray code is a Hamilton path in the hypercube Qn. Give a proof of each of the following statements: (a) If n even, then

A Gray code is a Hamilton path in the hypercube Qn.

A Gray code is a Hamilton path in the hypercube Qn. Give a proof of each of the following statements: (a) If n even, then there is no Gray code that starts at 00...0 and ends at 11 ... 1. [3] (b) If n is odd, then there is a Gray code that starts at 00...0 and ends at 11 ... 1. [3]

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