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How are the decimal numbers 0 through 10 written in binary?
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numerals and numeral systems
Examples of ancient symbols for the numbers 1 and 10.
The binary number system is a positional numeral system that uses 2 as its base, requiring only the digits 0 and 1 to represent values. Unlike the decimal system, which uses powers of 10, each digit position in binary represents a power of 2.12
The decimal numbers 0 through 10 are represented in binary as follows:
| Decimal | Binary |
| :--- | :--- |
| 0 | 0 |
| 1 | 1 |
| 2 | 10 |
| 3 | 11 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
| 8 | 1000 |
| 9 | 1001 |
| 10 | 1010 |
This system is fundamental to computer technology and information theory, as it allows for the reliable representation of data through two-state electronic components.12