Number Base Converter

What Is a Number Base Converter?

This free number base converter converts numbers between binary (base 2), decimal (base 10), hexadecimal (base 16), octal (base 8), base 32, and base 64 number systems. Type a number in any field and all other bases update automatically — no button click required. This number base converter is an essential tool for computer science students, software developers, network engineers, and anyone working with different numeral systems.

Different number bases are used throughout computing and electronics. Binary is the foundation of all digital computing. Hexadecimal is used in memory addresses, colour codes, and debugging. Octal appears in Unix file permissions. This number base converter handles all of them instantly and simultaneously.

Number Systems Explained

• Binary (Base 2): Uses only 0 and 1. This is the native language of computers — every piece of data stored or processed by a computer is ultimately binary. Used in logic gates, digital electronics, and low-level programming.
• Decimal (Base 10): The standard number system humans use — digits 0–9. All everyday counting and arithmetic uses base 10.
• Hexadecimal (Base 16): Uses digits 0–9 and letters A–F. Widely used in programming, memory addresses, HTML/CSS colour codes (e.g. #FF5733), and machine-level debugging. Four binary digits correspond to one hex digit, making hex a compact representation of binary.
• Octal (Base 8): Uses digits 0–7. Used in Unix/Linux file permission codes (e.g. chmod 755) and some older computing systems. Three binary digits correspond to one octal digit.

Number Base Converter — Frequently Asked Questions