Base Converter Calculator
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About Base Conversions
Base conversions are essential in computer science, mathematics, and digital electronics. Here are some key points to remember:
- Binary (Base-2): Uses only 0 and 1. It's the language of computers.
- Octal (Base-8): Uses digits 0-7. Often used as a shorthand for binary.
- Decimal (Base-10): The standard number system we use daily.
- Hexadecimal (Base-16): Uses digits 0-9 and letters A-F. Common in computing.
Conversion Tips
Consider these tips for successful base conversions:
- Verify that the input number is valid for the selected base
- Be cautious with letters in hexadecimal (A-F are case-insensitive)
- Large numbers may require special handling
- Use reliable conversion tools for complex calculations
Conversion Methods
Here are the common methods used for base conversions:
- Division-Remainder Method: Used for converting to a higher base
- Multiplication Method: Used for converting fractional parts
- Positional Notation: Used for converting from a higher base
Common Base Conversions
| Decimal | Binary | Octal | Hexadecimal |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 1 |
| 2 | 10 | 2 | 2 |
| 3 | 11 | 3 | 3 |
| 4 | 100 | 4 | 4 |
| 5 | 101 | 5 | 5 |
| 8 | 1000 | 10 | 8 |
| 10 | 1010 | 12 | A |
| 15 | 1111 | 17 | F |
| 16 | 10000 | 20 | 10 |
| 32 | 100000 | 40 | 20 |
| 64 | 1000000 | 100 | 40 |
| 100 | 1100100 | 144 | 64 |