Conversion

Number Base Converter

Convert numbers across Binary (base-2), Octal (base-8), Decimal (base-10), and Hexadecimal (base-16).

Reviewed & Maintained by

Aadil Malik — Software Engineer

1 min read · 24 words

What is a Number Base Converter?

A number base converter translates integers and values between binary, octal, decimal, and hexadecimal positional number systems.

Frequently Asked Questions

A radix or base is the number of unique digits, including zero, used to represent numbers in a positional numeral system.

Binary (base 2: 0,1); Octal (base 8: 0–7); Decimal (base 10: 0–9); Hexadecimal (base 16: 0–9, A–F).

Multiply each binary bit by 2 raised to its positional power ($2^0, 2^1, 2^2, ...$) and sum the results.

One hex digit represents exactly 4 bits (a nibble), allowing a full byte (8 bits) to be represented compactly with just two hex characters (e.g. 0xFF = 255).

A mathematical operation on binary numbers used in computing to represent negative signed integers.

Successively divide the decimal number by 16, recording the remainders in reverse order.

ASCII encodes text characters into numeric byte values, which are frequently displayed in hexadecimal format.

Shifting bits left by 1 position multiplies by 2; shifting right by 1 position divides by 2.