Difference between revisions of "Binary system"
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| − | The binary system is a way of representing numbers in base 2, i.e. using only the digits 0 and 1. While it is impractical for human use, it is the mainstay of modern computing. | + | The '''binary system''' is a way of representing numbers in base 2, i.e. using only the digits 0 and 1. While it is impractical for [[human]] use, it is the mainstay of [[modern computing]]. |
To increment a binary number, follow this rule: | To increment a binary number, follow this rule: | ||
Revision as of 03:39, August 17, 2007
The binary system is a way of representing numbers in base 2, i.e. using only the digits 0 and 1. While it is 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 | |
