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Binary/Hex/Decimal Converter

Convert numbers between binary, hexadecimal, decimal, and octal.

Input Number

Input Base

Bit Width

Signed (two's complement)

Conversion Results

Binary (2)

Octal (8)

Decimal (10)

Hexadecimal (16)

Quick Reference

About Binary/Hex/Decimal Converter

Free number base converter that converts between binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16) number systems. Enter a number in any base and instantly see its representation in all other bases. Essential for programmers working with low-level operations, computer science students learning number systems, and anyone debugging memory addresses, color codes, or bit patterns.

Frequently Asked Questions

How do I convert binary to decimal?▾

Enter your binary number in the binary field and the tool instantly displays the equivalent decimal, hexadecimal, and octal values. For example, binary 1010 converts to decimal 10, hexadecimal A, and octal 12.

What number systems are supported?▾

The tool supports four number systems: binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). Convert between any of them by entering a value in one field.

Why do programmers use hexadecimal?▾

Hexadecimal (base 16) is a compact way to represent binary data - each hex digit maps to exactly 4 binary digits. This makes hex values much shorter and easier to read than binary. For example, the binary number 11111111 is simply FF in hex. Hex is widely used for memory addresses, color codes (#FF0000), and byte values.

What is octal used for?▾

Octal (base 8) is primarily used in Unix/Linux file permissions (like chmod 755) where each octal digit represents read, write, and execute permissions. It was also historically used in older computer systems. Each octal digit maps to exactly 3 binary digits.

Is this converter free to use?▾

Yes, completely free with no signup required. Convert between binary, octal, decimal, and hexadecimal instantly. All conversions happen in your browser with no data sent to any server.

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