← Back to tools
Converter

Base Converter

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

How the Number Base Converter Works

This tool converts numbers between four common numerical bases: Decimal (base 10), Binary (base 2), Octal (base 8), and Hexadecimal (base 16). Enter a number in any base to see its equivalent value in all other bases.

Formula Used

Value (Base A) → Decimal (Base 10) → Value (Base B)
Decimal (Base 10)
— standard human number system using digits 0-9
Binary (Base 2)
— computer system using digits 0 and 1
Octal (Base 8)
— system using digits 0-7, representing groups of 3 bits
Hexadecimal (Base 16)
— system using digits 0-9 and letters A-F, representing groups of 4 bits

Example Calculation

If you enter the Decimal number 42, the converter translates it: Binary = 101010; Octal = 52; Hexadecimal = 2A. All fields update simultaneously.

Frequently Asked Questions