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Is 3 bits difference enough to map distinct values toggling a single bit in a binary number?
Assume that one can only alter a single bit in a binary number set. As in:
can be converted to one of the rows in:
If one has the set 00000000, 00000111 all 16 conversions(mappings) will be distinct. How to prove, or disprove, that:
If any of the numbers in the set has at least 3-bits of difference, the values they map to will be distinct.