Number Radix Converter

Convert between different Number Radix units quickly and accurately.

Valid characters: 0-9

Quick Reference

Binary

Base 2

Digits: 0-1

Octal

Base 8

Digits: 0-7

Decimal

Base 10

Digits: 0-9

Hexadecimal

Base 16

Digits: 0-9, A-G

About Number Radix Conversion

Our Number Radix converter allows you to quickly convert between 4 different Number Radix units. Simply enter a value, select your source unit and target unit, and get instant results.

Available Units:

units.binarybin
units.octaloct
units.decimaldec
units.hexadecimalhex

What is Number Radix Conversion?

Number radix (or base) conversion involves converting numbers between different numeral systems. The most common systems are decimal (base-10), binary (base-2), octal (base-8), and hexadecimal (base-16).

Historical Background

Different numeral systems have been used throughout history. The decimal system, based on ten digits, is believed to have originated from counting on fingers. Binary became fundamental with the development of digital computers, while hexadecimal is widely used in computing for its compact representation of binary data.

Applications

Radix conversion is essential in computer science, digital electronics, and programming. It's used in color codes (hexadecimal), memory addresses, binary data representation, and low-level programming. Understanding different number systems is fundamental to computer science education.

Common Conversions:

Common radix conversions include decimal to binary, decimal to hexadecimal, and binary to hexadecimal. These conversions are essential for programming, debugging, and understanding how computers represent and process data.