Number Base Converter - Binary Hex Decimal
Convert between binary, octal, decimal, and hexadecimal instantly. Includes bit visualization for 8, 16, and 32-bit representations.
What Is a Number Base Converter?
A number base converter transforms numbers between different numeral systems. The most common bases in computing are binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). Each system represents the same value using different digit sets — for example, decimal 255 equals binary 11111111, octal 377, and hexadecimal FF.
How to Convert Number Bases
- Enter a Number — Type a value into any of the four fields (binary, octal, decimal, or hex)
- See All Bases — The other three fields update in real-time with the converted values
- View Bits — The bit visualization panel shows the binary representation in 8, 16, or 32-bit format
- Copy All — Click Copy All to grab all four representations at once
Why Use This Number Base Converter?
- All Four Bases — Binary, octal, decimal, and hexadecimal in one view
- Real-Time — All fields update instantly as you type
- Bit Visualization — See individual bits with grouping and position labels for 8, 16, or 32-bit views
- BigInt Support — Handles arbitrarily large numbers beyond the 32-bit limit
- Input Validation — Only valid digits are accepted for each base, with clear error messages
- Privacy — Runs entirely in your browser with no server communication
FreeToolbox vs Other Base Converters
| Feature | FreeToolbox | rapidtables.com | binaryhexconverter.com |
|---|---|---|---|
| All 4 Bases | Yes (simultaneous) | Yes (separate pages) | 2 at a time |
| Real-time | Yes | No (button) | No (button) |
| Bit Visualization | 8/16/32-bit | No | No |
| BigInt | Yes | Limited | No |
| Ads | Minimal | Heavy | Heavy |
FAQ
What is binary (base 2)?
Binary uses only two digits: 0 and 1. It is the fundamental number system used by computers, where each digit (bit) represents an on/off state in electronic circuits.
What is hexadecimal (base 16)?
Hexadecimal uses 16 symbols: 0-9 and A-F. It is widely used in programming to represent colors (e.g., #FF7675), memory addresses, and byte values in a compact form.
How large a number can I convert?
This tool uses JavaScript BigInt, which supports arbitrarily large integers. You can convert numbers far beyond the standard 32-bit or 64-bit limits.
What does the bit visualization show?
The bit visualization displays each binary digit as a colored cell. Highlighted cells represent 1 bits and dim cells represent 0 bits. You can switch between 8-bit, 16-bit, and 32-bit views.
Why does my number show an overflow warning?
The overflow warning appears when your number exceeds the selected bit width (e.g., 256 exceeds 8-bit range of 0-255). The conversion still works correctly; the warning is informational.