Sometimes it is more convenient to count in a different base system. Computers use base two: 0's and 1's. Color codes on websites use base sixteen: 0's, 1's, 2's, 3's, 4's, 5's, 6's, 7's, 8's, 9's, a's, b's, c's, d's, e's, and f's. Base three is used to help describe the Cantor Set.

You need one digit each to count up to 9, but two digits for ten, and three digits for a hundred, which is ten times ten. In Binary, base 2, you need two digits for two, as you only have two digits, 0 and 1. Base 5 has five digits, and the number five becomes 10. For base 16, you will need sixteen digits, and there are only ten numerals.

09/04/2002 · Base 5 numbers are from 0-4, so you can never have a 5 as a digit. Base 9 goes from 0-8 so you can never have a 9 in the result. When testing converting from base 10 to base 2-9, Damon's formula returns the correct results for me, except for specific cases in …

For base 4, there are 4 digits: 0, 1, 2, 3. You never see any digit larger than a 3 in a base 4 number. So we start counting: 0 1 2 3 but we are out of digits, so now we have to increase the digit on the left (this would be called the tens digit if we were in base ten, but in base four, this is the fours digit). Then we can reset the ones digit to a zero:

How to do base calculations. First method is to convert each number to decimal, do the calculation and convert the result back to the base. Second method is to do the calculations with the specified base. This method is more straight forward but more hard to implement.