What is the smallest whole number b such that 62 can be expressed in base b using only three digits?
Not only I am asking for the answer to this problem, can you guys please tell me how to convert out of base 10? (I don't know how to)
Converting out of base 10
Using the base that Alan found 62 base 10 to Base 4
62 / 4 = 15 + Remainder 2
15 / 4 = 3 + Remainder 3
3 / 4 = 0 + Remainder 3
We stop when the division produces a whole number of 0
Read the remainders "backwards" from bottom to top =
3324
So that would mean 356 in base 10 to base 8 is
356 / 8 = 44 + remainder 4
44 / 8 = 5 + remainder 4
4 / 8 = 0 + remainder 4
So 356 converted is 444?
@cphil