Question

Given Base 2, 6 Digits, what's the Unsigned Range?

Answer 1

Well, what did you think it was? For each digit there are only two possibilites. If we use 0 and 1, for 1 diigit that is 2. But for 2 digits it is 4:

00
01
10
11

For 3 digits it is 8:

000
001
010
100
011
110
101
111

Do you notice a pattern in this?

1 digit = 2 possiblities
2 d = 4 p
3 d = 8 p

Answer 2

For all number systems, the answer would be:
base^numberOfDigits

With a range of:
0 to base^numberOfDigits-1.