Free Online Unit Converter
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01

Number Systems

Convert between binary, octal, decimal, and hexadecimal

Quick Conversions

Binary to Octal Binary to Decimal Binary to Hexadecimal Octal to Binary Octal to Decimal Octal to Hexadecimal Decimal to Binary Decimal to Octal Decimal to Hexadecimal Hexadecimal to Binary Hexadecimal to Octal Hexadecimal to Decimal

About Number System Conversion

Number systems are methods for representing numbers using different bases. The decimal system (base-10) uses digits 0-9 and is the standard for everyday mathematics. Binary (base-2), using only 0 and 1, is the fundamental language of computers since digital circuits operate on two states: on and off. Every piece of data in a computer is ultimately stored and processed in binary.

Hexadecimal (base-16) uses digits 0-9 and letters A-F, providing a compact way to represent binary data. Each hex digit corresponds to exactly four binary digits, making it the preferred notation for memory addresses, color codes (like #FF5733 in web design), and low-level programming. Octal (base-8) was historically important in computing and is still used in Unix file permissions.

This converter is invaluable for programmers, computer science students, and anyone working with digital systems who needs to quickly translate between these fundamental number representations.