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Number System Converter

Convert between Binary, Decimal, Octal, and Hexadecimal, with step-by-step working!

Input Number

Understanding Number Systems

In computing and mathematics, numbers can be represented in various number systems or bases. The most common is the decimal system (Base 10), which uses 10 digits (0-9). However, computers primarily use the binary system (Base 2), composed of only 0s and 1s. Other important systems include octal (Base 8) and hexadecimal (Base 16), which are often used as shorthand for binary numbers in programming.

Our Number System Converter provides a comprehensive tool to effortlessly convert numbers between these fundamental bases. What sets this tool apart is its ability to reveal the complete step-by-step working behind each conversion. This includes detailed explanations for converting any base to decimal (e.g., binary to decimal conversion steps, hexadecimal to decimal conversion steps) and from decimal to any other base (e.g., decimal to binary conversion steps, decimal to hexadecimal conversion steps).

This online base converter is an invaluable resource for students learning digital electronics, computer science fundamentals, or anyone needing to understand the underlying mathematics of number representation. Use this step-by-step number base calculator to demystify conversions and deepen your understanding of how numbers work across different systems!

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