On the Hamming Distance between base-n representations of whole numbers

Details On the Hamming Distance between base-n representations of whole numbers On the Hamming Distance between base-n representations of whole numbers

2012-03-20

arxiv.org/abs/1203.4547v1

Computer Science

Discrete Mathematics

Scientific paper

We first talk about the Hamming Distance between two strings. Then, we apply
this concept to the representations of whole numbers in base n for all positive
integers n > 2. We claim that a closed-form formula exists that helps us find
the sum of all such Hamming Distances. Later, we derive the formula. We also
state and prove other interesting results on the aforementioned topic.

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