Number Base Converter — Free Online Tool
Convert numbers between binary, octal, decimal, and hexadecimal instantly.
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Understanding Number Systems
Number bases (radix) define how many unique digits represent values. Different bases are used in different computing contexts.
Number Systems Explained
- Binary (Base 2): Uses 0 and 1. Fundamental to all computing. Every byte = 8 bits
- Octal (Base 8): Uses 0-7. Sometimes used in Unix file permissions
- Decimal (Base 10): Uses 0-9. Standard human number system
- Hexadecimal (Base 16): Uses 0-9 and A-F. Common in color codes, memory addresses, and web
When to Use Each Base
- Binary: Hardware-level operations, bitwise programming
- Hex: Color codes (#FF5733), memory addresses, hash values
- Octal: Unix permissions (chmod 755)
- Decimal: Human-readable values
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