Number Base Converter

Convert instantly between the four most-used number systems.

What this calculator does

Binary (base 2) uses 0 and 1. Hexadecimal uses 0-9 and A-F.

How it works

Computers process everything in binary code internally.

When to use this calculator

Use this calculator whenever mental arithmetic introduces uncertainty — particularly when the result will inform a decision rather than just satisfy curiosity. Even confident mathematicians use calculation tools when precision matters.

Common mistakes

A common mistake is applying the formula in the wrong direction — particularly with percentage and ratio problems, where the part and the whole can be mistakenly swapped. Check which value is the reference (the 'whole') before entering inputs.

Real-world scenarios

A shopper sees two versions of the same product at different prices: one at £14.50 for 400g and another at £11.99 for 300g. Running both price-per-gram calculations reveals the larger pack is 7% cheaper per unit — the kind of comparison that is impossible to do reliably in your head at the shelf.

Frequently asked questions

How do I convert 255 decimal to binary?

255 in decimal = 11111111 in binary.

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