Difference between revisions of "Binary system"
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(New page: 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.) |
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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: | ||
| + | |||
| + | 1. Current digit is the end digit | ||
| + | 2. Change the current digit | ||
| + | 3. If current digit = 1 | ||
| + | 4. Then: | ||
| + | 4a.Shift current digits 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: | ||
| + | :0:0 | ||
| + | :1:1 | ||
| + | :10:2 | ||
| + | :11:3 | ||
| + | :100:4 | ||
| + | :101:5 | ||
| + | :110:6 | ||
| + | :111:7 | ||
| + | :1000:8 | ||
| + | :1001:9 | ||
| + | :1010:10 | ||
| + | :1011:11 | ||
| + | :1100:12 | ||
| + | :1101:13 | ||
| + | :1110:14 | ||
| + | :1111:15 | ||
| + | :10000:16 | ||
Revision as of 16:13, July 14, 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 digits 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:
- 0:0
- 1:1
- 10:2
- 11:3
- 100:4
- 101:5
- 110:6
- 111:7
- 1000:8
- 1001:9
- 1010:10
- 1011:11
- 1100:12
- 1101:13
- 1110:14
- 1111:15
- 10000:16
