Binary Calculator

Perform binary calculations just like computers do — fast and accurate.

What this calculator does

Supports +, −, ×, AND, OR, XOR operations with results in binary, decimal, and hexadecimal.

When to use this calculator

This tool is most valuable when you need a result to compare against something else: a quoted figure, a competing option, or a budget threshold. Accurate comparisons require accurate inputs and arithmetic — this calculator ensures both.

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 student checks their overall module grade before results day: 3 assignments scored 72%, 68%, and 81% — the calculator confirms the weighted average and tells them what score they would need on the final exam to achieve a target grade.

Frequently asked questions

How does binary addition work?

In binary (base-2): 1+1=10 (which is 2 in decimal).