Binary system

The binary system is a way of representing numbers in base 2, i.e. using only the digits 0 and 1. A number written in the system can be denoted by following it with a subscipt 2, i.e. ₂. Each digit represents the number of a power of 2 in the complete number, similarly to in the decimal system, where each digit represents the number of a power of 10. The power is defined by the number of digits in the number from right to left through the digit, minus 1, e.g. 100₂, where the digit 1 is the third digit from the right, and thus represents 2², or 4. While it is generally impractical for human use, it is the mainstay of modern computing.

To increment a binary number, follow this rule:

1. Current digit is the end digit
2. Change the current digit
3. If current digit = 1
4. Then:
 4a.Shift current digit to away from the end digit
 4b.Goto step 2
5: Else:
 5a:You're done.

A more concrete example can be found here: http://woodgears.ca/marbleadd/index.html

The first 16 binary digits:

Decimal	Binary
0	0
1	1
2	10
3	11
4	100
5	101
6	110
7	111
8	1000
9	1001
10	1010
11	1011
12	1100
13	1101
14	1110
15	1111
16	10000