Numeral System Converter

Convert numbers between different numeral systems: decimal, binary, octal, and hexadecimal.

This tool generates fictitious data intended exclusively for software testing and development purposes. The data does not correspond to real people or entities and must not be used for illegal, fraudulent purposes, or in ways that violate the privacy of others. Compliant with LGPD (Brazilian Data Protection Law).

See also:

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About the Numeral System Converter

What are numeral systems?

A numeral system (or base) is a method of representing numbers using a specific set of digits. The decimal system (base 10) uses digits 0-9 and is the standard for everyday use. Binary (base 2) uses 0 and 1 and is the foundation of all digital computing. Octal (base 8) uses 0-7 and is used in Unix file permissions. Hexadecimal (base 16) uses 0-9 and A-F and is ubiquitous in programming for representing memory addresses, colors, and binary data.

How does the converter work?

Enter a number in any supported base (binary, octal, decimal, or hexadecimal) and the tool instantly converts it to all other bases. The conversion is bidirectional and updates in real time. You can input binary strings, octal numbers, standard decimal integers, or hexadecimal values with or without the 0x prefix. The tool validates input against the selected base to prevent invalid entries.

Developer use cases

Developers frequently need base conversions when reading memory dumps (hex to decimal), setting Unix file permissions (octal to decimal and back), debugging network protocols (binary to hex), working with color values in CSS (hex to decimal RGB), analyzing bitwise operations (decimal to binary), or interpreting low-level system data. Having an instant converter saves time compared to manual calculation or writing conversion code.