smc

Question

In our number system the base is ten. If the base were changed to four you would count as follows: 1,2,3,10,11,12,13,20,21,22,23,30, The twentieth number would be:

Accepted Answer

The 20^th number will be the value of 20_10 in base 4. Thus, we see 20_10 = (1) 4^2 + (1) 4^1 + 0 4^0 = 110_4 110