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(0) 1 2 3 10 11 12 13 20 21 22 23 30 31 32 33 <--- 15 in base-10

100 101 102 103 110 ...

In any base-n system, the actual digits used have a maximum of n-1. The previous answer included 4 in the terms -- but in binary, which is base-2, we don't see any 2's, do we?

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Q: What are the first fifteen counting numbers in base four?
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