How does a radix sort algorithm work using any given base without converting the numbers to decimal?

For example: A = [12,42,11,65,3,2] base 10

and B = [12,42,11,65,3,2] base 2

I have a function radix(aList,b)

How does the radix sort work for these 2 list: radix(A,10) and radix(B,2)?