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Binary Calculator
Base Converter
About Binary & Number Systems
Number Bases
- Binary (base 2) — Only 0 and 1. Foundation of all digital computing. Every number is a sum of powers of 2.
- Octal (base 8) — Digits 0–7. Common in Unix file permissions (e.g., chmod 755).
- Decimal (base 10) — The familiar system. Digits 0–9.
- Hexadecimal (base 16) — Digits 0–9 and A–F. Used heavily in memory addresses, colors (#FF5733), and debugging.
Bitwise Operations
- AND — 1 only if both bits are 1. Used for masking bits.
- OR — 1 if either bit is 1. Used for setting bits.
- XOR — 1 if bits are different. Used for toggling and encryption.
- NOT — Flips all bits. One's complement.
- << / >> — Shift bits left/right. Equivalent to ×2 or ÷2.
Binary, octal, decimal, and hex arithmetic plus bitwise AND, OR, XOR, NOT operations.