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Binary to Decimal Converter
Convert binary to decimal — and between decimal, hex and octal.
Result
—
Converted value.
| Decimal | — |
|---|---|
| Hexadecimal | — |
| Binary | — |
| Octal | — |
Show our math
Enter your figures above to see the step-by-step working.
Everything computed client-sideEverything computed client-side — nothing leaves this page
How the Binary to Decimal Converter Works
Numbers can be written in different bases: binary (base 2, used by computers), octal (base 8), decimal (base 10, everyday numbers) and hexadecimal (base 16, common in programming and colours). Converting means re-expressing the same value in another base. This tool reads your value in its base, finds its plain decimal value, then rewrites it in the base you want — and shows all four at once.
Hexadecimal uses the digits 0–9 then A–F for 10–15, so FF is 255. Binary uses only 0 and 1. The underlying quantity never changes — only how it’s written.
value in base X → decimal → value in base Y
Frequently Asked Questions
What is 1010 in decimal?
10. Binary 1010 is 8 + 0 + 2 + 0 = 10.
How do I convert binary to decimal?
Add the place values (powers of 2) where there is a 1. The tool does this and shows hex and octal too.
How do computers use binary?
Everything in a computer is stored as bits — 0s and 1s. Binary is base 2, the natural language of digital electronics.
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