Free Number Base Converter
Convert a number between binary, octal, decimal and hex.
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Inputs
Result
Decimal (base 10)
255
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Short answer
Convert a number between binary, octal, decimal and hex.
What is the Number Base Converter?
Convert a number between binary, octal, decimal and hex.
How does the Number Base Converter work?
Enter the inputs above and read the result.
Formula
Variables
baseNumeral system radix
Explanation
Any positional numeral system represents a value as a weighted sum of digits times powers of its base.
Examples
Applications
Advantages
Limitations
Common mistakes
Tips
Related concepts
The Number Base Converter sits inside the Unit Conversion Tools hub, in the data & numeric systems cluster. Digital storage and number representation. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Number Base
Convert a number between binary, octal, decimal and hex. Within unit conversion tools, number base belongs to the data & numeric systems cluster, where it shares terminology and assumptions with closely related tools.
Learning how number base is calculated
Any positional numeral system represents a value as a weighted sum of digits times powers of its base. Working through the variables one at a time — base — makes the result reproducible by hand and easier to sanity-check.
Using number base to make a decision
Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How number base compares with related measures
byte, binary prefix, radix, notation all describe adjacent aspects of data & numeric systems. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
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