First of all, realize that "
even" is mathematically a concept
independent of bases. It simply means you get an
integer when you divide by 2 (or by 10 in the case of
binary.) But then, that doesn't allow this sort of
fun useless trivia, so let's assume for the purposes of this
node that ending in an even
digit makes the number
even.
Anyway, there are quite a few bases in which 42 is not "even" - 11, 13 (come on, how can you do 42-related trivia without considering base 13?), and any odd base from 23 to 41.
There is only one number that ends in an even digit in any base, and it's 2.
Oh. Hmm. I just realized that
ariels is converting the OTHER way, from base
n to
base 10. In this case, the number represented
must be even, yes. You're just taking 4 of something and adding 2. No place for anything
odd to figure into it. So any set of
even digits will be an
even number, when converting from any base to any
other.