๐ขNumber Base Converter
Convert between binary, octal, decimal, and hexadecimal live as you type, with all four representations shown at once and step-by-step working.
| Base | Value |
|---|---|
| Binary | โ |
| Octal | โ |
| Decimal | โ |
| Hexadecimal | โ |
Free Number Base Converter
Need to convert numbers between binary, decimal, hexadecimal, or octal? Our free Number Base Converter does it instantly โ type a value in any base and see it converted to all the others at once, live as you type.
Unlike a plain converter, this tool shows the actual working: positional-weight expansion for conversions to decimal, and repeated-division steps for decimal-to-other-base conversions โ so you can follow exactly how the answer was reached, not just copy it. Invalid digits for the chosen base (like a 2 in binary) are flagged immediately instead of silently misread.
Whether you're studying computer science, debugging low-level code, or just curious how computers represent numbers, this converter handles binary, octal, decimal, and hex conversions cleanly, with grouped digits for readability and one-click copying of the result. No sign-up, no downloads, no limits. See the About page or the FAQ for more.
About the Number Base Converter
Features
Any-to-any conversion
Convert between binary, octal, decimal, and hexadecimal in either direction.
All 4 bases shown at once
A live table updates every representation simultaneously as you type.
Step-by-step working
Positional-weight expansion to decimal, and repeated-division steps to any other base.
Negative number support
Negative integers are handled and clearly labelled, not silently misread.
Frequently Asked Questions
How do I convert binary to decimal?
Multiply each binary digit by its positional power of 2 and sum the results; the tool shows this expansion automatically.
What bases does this support?
Binary, octal, decimal, and hexadecimal, converted to and from each other.
Is it free?
Completely free, no sign-up or limits.
Does it show the steps?
Yes, positional-weight expansion and repeated-division steps are shown, not just the final answer.
Can I convert negative numbers?
Yes, negative integers are supported and clearly labelled.
What if I enter an invalid digit for the base?
The tool flags it immediately (e.g. a 2 typed in binary mode) instead of misinterpreting it.
Does it handle hexadecimal letters (AโF)?
Yes, both uppercase and lowercase hex digits are accepted.
Is there a size limit on numbers?
Very large inputs are capped with a clear message to avoid performance issues; typical numbers convert instantly.
Is my data stored?
No; all conversion happens in your browser.
Does it work on mobile?
Yes, fully responsive with no overflow.