Question

Simplify 213 base 4 * 23 base 4?

Answer 1

(2*16 + 1*4 +3)(2*4+3)
=
39*11

Answer 2

If you need to put that 39*11 = 429 back to base 4
4^0 = 1
4^1 = 4
4^2 = 16
4^3 = 64
4^5 = 256
4^6 = 1024
well 429 / 256 = 1.6 something so
first digit is 1 with 429-256 left = 173
173/64 = 2.7..
so second digit is 2 with 173 - 128 left = 45 left
45/16 = 2.8 ....
so third digit is 2 with 45 - 32 = 13 left
13/4 = 3.25
so fourth digit is 3 with 13 - 12 = 1 left
so fifth digit is 1
12231 in base four