Question

What is the base 5 representation of 30?

Answer 1

To convert from base 10 to another base (Base 5), you divide

30 / 5 = 6 remainder of 0 (rightmost number)

6 / 5 = 1 remainder of 1 (middle number)

1 / 5 = 0 remainder of 1 (leftmost number)

So 30 in base 5 = 110

To check the result
you multiply the rightmost digit by 1
multiply the next digit by 5
multiply the next digit by 25
Then add the results
0 * 1 = 0
1 * 5 = 5
1 * 25 = 25

This totals 30