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💻 Tech & Computing

Hex, Binary & Decimal Converter

Instantly convert between Hexadecimal, Binary, Decimal, and Octal number bases with live simultaneous updating.

⚡ Instant 🆓 Free 🔒 Private
hex binary decimal octal base converter programmer

Type in any field to instantly update all other bases simultaneously.

Number Bases in Computing

Computers represent all data as binary (base 2), but programmers work with several number systems for different purposes. Understanding how to convert between them is a fundamental programming skill.

The Four Main Bases

Binary (Base 2): Digits 0–1. The native language of all computer hardware.

Octal (Base 8): Digits 0–7. Historically used in Unix file permissions (e.g. chmod 755).

Decimal (Base 10): Digits 0–9. The human-readable system.

Hexadecimal (Base 16): Digits 0–9, A–F. Used for memory addresses, colors (#FF5733), and machine code.

Why Hexadecimal?

Hexadecimal is a compact representation of binary numbers. One hex digit (0–F) maps precisely to four binary bits (a nibble), and two hex digits represent a full byte (e.g. FF = 11111111 = 255). This makes hex extremely convenient for reading and writing raw binary data.