Binary Calculator – Perform Binary Math Online
Add, subtract, multiply and divide binary numbers, with decimal and hex results.
About the Binary Calculator
What is the Binary Calculator?
A binary calculator performs arithmetic on binary (base-2) numbers and shows the results in binary, decimal and hexadecimal.
Why use this calculator?
Binary is how computers count, and programmers, network engineers and students routinely need to add or compare binary values.
How to use it
- Enter two binary numbers using only 0 and 1.
- Choose the operation: + − × ÷.
- Read the binary result with decimal and hex equivalents.
Formula
Standard binary arithmetic; results shown in multiple bases.
Division result is shown in binary as integer part, with the decimal value for precision.
Frequently Asked Questions
Why does 1010 + 0110 equal binary 10000?
1010₂ = 10 and 0110₂ = 6, so the sum is 16, which is 10000₂.
How do negative numbers work in binary?
Real systems use two\u2019s complement for signed values; this calculator keeps it simple and prefixes a minus sign.
What order of operations does this use?
It follows standard PEMDAS/BODMAS rules: parentheses, exponents, multiplication and division, then addition and subtraction.
How precise are the answers?
The calculator uses double-precision floating-point math (about 15 significant digits) and rounds the display. For exact symbolic results use dedicated algebra software.
Can I enter negative numbers or decimals?
Yes. Negative values, decimals and very large or small numbers are all supported unless a field says otherwise.
What does it mean if I get an error?
Errors usually mean an invalid input, such as division by zero or a negative value where only positives make sense. Check your entries and try again.
Is this calculator free to use?
Yes. Every calculator on this site is completely free, with no hidden fees, no subscriptions and no limits on how many times you can use it.
How accurate are the results?
We use standard, widely accepted formulas and calculate in your browser using double-precision arithmetic. Results are rounded for readability, so treat them as reliable estimates rather than a guarantee. Real-world factors can vary the true figure.
Can I add this calculator to my own website?
Yes. Open this calculator page and use the "Add to your website" box in the sidebar to copy a ready-made iframe snippet, then paste it into any HTML page.
Does it work on a phone or tablet?
Yes. The layout is fully responsive, so it works on desktops, laptops, tablets and mobile phones, and every input adapts to touch screens.