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Number Base Converter

Convert numbers instantly between binary, octal, decimal, and hexadecimal. Type in any field and the other bases update automatically. Supports integers up to 64 bits.

Only 0 and 1 are allowed
Only digits 0-7 are allowed
Only digits 0-9 are allowed
Only 0-9 and A-F are allowed

About Number Bases

A number base (or radix) determines how many unique digits are used to represent values. Decimal (base 10) is the everyday system using digits 0-9. Binary (base 2) uses only 0 and 1 and is the foundation of all digital computing, since transistors operate in two states. Octal (base 8) uses digits 0-7 and was historically popular in early computing as a compact representation of binary. Hexadecimal (base 16) extends decimal with the letters A-F, making it ideal for representing bytes, memory addresses, and color codes because each hex digit maps to exactly four binary digits. This converter handles arbitrarily large integers using BigInt, so you can work with values up to and beyond 64 bits without losing precision.

FAQ

What are number bases?
A number base (radix) defines how many unique digits a numbering system uses. Decimal is base 10 (digits 0-9), binary is base 2 (0 and 1), octal is base 8 (0-7), and hexadecimal is base 16 (0-9 plus A-F). The same quantity can be written differently depending on the base.
Why is binary important in computing?
Computers use electrical circuits that have two states: on and off. Binary maps perfectly to this, with 1 representing on and 0 representing off. Every piece of data, from text to images, is ultimately stored and processed as sequences of binary digits (bits).
What is hexadecimal used for?
Hexadecimal is a compact way to represent binary data. One hex digit equals exactly four binary digits, so a byte (8 bits) is always two hex digits. It is widely used in programming for memory addresses, color codes (e.g., #FF5733), and low-level debugging.

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