Can someone tell me how bases work? My teacher was teaching them to us and I can't figure it out.
Quick review:
Here is how base 10 (decimal) (the one you are familiar with) works
345610 Each position is a power of 10 6 is is in the power 0 slot 100 =1 so 6 x 1 = 6
5 is in the 101 slot so 5 x 101 = 50
4 is in the 102 slot 4 x 100 = 400
3 is in the 103 slot so 3000 added they equal 3000 + 400 + 50 + 6 = 3456
there are 10 numbers that can be in each slot 0 through 9 for base 10
biggest 4 digit base 10 number would be 9999
Now here is a base 5 number 1234 numbers in the slots can be anything from 0-4 ( but not 5 ...or 6 or 7 or 8 or 9)
4 is in the 50 slot = 4 x 1 = 4
3 is in the 51 slot = 3 x 5 = 15
2 is in the 52 slot = 2 x 25 = 50
1 is in the 53 slot 1 x 125 = 125 added they equal 125 + 50 + 15 + 4 = 19410
biggest four digit base 5 number would be 4444
so 12345 = 19410 Clear as mud?