I thought of a math puzzle today and I don't yet know the answer.
Consider the binary numeral
110. This represents the number 6.
If you interpret
110 as a base-3 numeral instead, it represents the
12 is a multiple of 6.
Find an example like this that does not end in
That is, find a sequence of zeroes and ones, whose value as a base-3
numeral, is a multiple of its value as a base-2 numeral, and which
ends in a