Binary Calculator
Add, subtract, multiply binary numbers and perform bitwise AND, OR, XOR operations with step-by-step explanations.
Binary ↔ Decimal Quick Converter
About This Tool
The Binary Calculator lets you perform arithmetic and bitwise operations directly on binary numbers. Supported operations include addition (+), subtraction (−), multiplication (×), and the logical bitwise operators AND, OR, and XOR.
For addition and subtraction the tool shows step-by-step column working — including carry and borrow bits — so you can follow exactly how the result was reached. Results are always shown in binary, decimal, and hexadecimal simultaneously.
The quick converter section below the calculator lets you instantly convert any binary number to decimal (and hex), or any decimal integer back to binary, without leaving the page.
All logic runs entirely in your browser with zero server communication. The tool is suitable for students learning binary arithmetic, programmers working with bitwise operations, and anyone who needs a fast binary reference.