Base Converter - Convert Between Binary, Decimal, Hex, Octal & More | 8gwifi.org

🔢 Base Converter 🔢

Convert numbers between binary, decimal, hexadecimal, octal, and custom bases

🧠 Number Base Systems Explained

A number base (or radix) is the number of unique digits used to represent numbers in a positional numeral system.

Common Bases:
  • Binary (Base 2): Uses digits 0 and 1. Foundation of all digital systems.
  • Octal (Base 8): Uses digits 0-7. Common in Unix file permissions.
  • Decimal (Base 10): Uses digits 0-9. Our everyday number system.
  • Hexadecimal (Base 16): Uses digits 0-9 and A-F. Widely used in programming and web colors.
  • Base64: Uses 64 characters (A-Z, a-z, 0-9, +, /). Used for encoding binary data. Note: Base64 is shown as a representation of numbers, but it's primarily an encoding scheme, not a number base.

Conversion Formula: To convert from base b₁ to base b₂, first convert to decimal, then convert to target base.

Example: Binary 1010 = 1×2³ + 0×2² + 1×2¹ + 0×2⁰ = 8 + 0 + 2 + 0 = 10 (decimal)

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