Binary Calculator
Do maths with binary numbers — add, subtract, multiply, divide, AND, OR, XOR — and see the answer in binary, decimal and hex.
Result
Binary
How to Use Binary Calculator
Solve binary maths homework or check bits for code in seconds.
Enter Two Binary Numbers
Type numbers using only 0 and 1, like 1011 and 110. Spaces are ignored.
Pick an Operation
Choose +, −, ×, ÷ or a bitwise operation: AND, OR or XOR.
Read the Answer
See the result in binary, decimal, hexadecimal and octal, with the working shown underneath. Switch to Convert to change between number systems.
Maths
+ − × ÷
Bitwise
AND, OR, XOR
Shows
Binary, decimal, hex, octal
Number size
Any length
Works on
Phone & computer
Price
100% free
Binary Calculator: Quick Reference
Binary addition and bitwise rules at a glance.
| Rule | Result |
|---|---|
| 0 + 0 | 0 |
| 0 + 1 / 1 + 0 | 1 |
| 1 + 1 | 10 (write 0, carry 1) |
| 1 + 1 + 1 | 11 (write 1, carry 1) |
| 1 AND 1 | 1 (otherwise 0) |
| 1 XOR 1 | 0 (1 only if the bits are different) |
| Example | 1011 (11) + 110 (6) = 10001 (17) |
What Can You Use It For?
Popular ways people use Binary Calculator.
Homework
Check binary addition, subtraction and division answers.
Programming
Work out bit masks and flags with AND, OR and XOR.
Networking
Check subnet masks and IP bits.
Electronics
Verify digital logic and register values.
Tips for the Best Result
- Group long binary numbers in 4s (like 1011 0110) — each group is one hex digit.
- Division shows a whole-number answer plus a remainder, like long division in school.
- Use Convert mode to turn a decimal number into binary in one step.
Frequently Asked Questions
Quick answers about Binary Calculator.
Add column by column from the right: 0+0=0, 0+1=1, 1+1=10 (write 0 and carry 1), 1+1+1=11 (write 1, carry 1).
Subtract column by column from the right, borrowing from the next column when you need to take 1 from 0 — just like decimal subtraction, but borrowing 2 instead of 10.
It gives the whole-number answer (quotient) and the remainder, both in binary and decimal.
They compare the numbers bit by bit. AND gives 1 only where both bits are 1, OR where at least one is 1, and XOR where the bits are different.
Switch to Convert, choose Decimal → Binary and type your number. The binary, hex and octal values appear straight away.
Yes, for +, −, × and ÷ — type a minus sign in front, like -101. AND, OR and XOR work with positive numbers only.
No. The calculator uses big-number maths, so very long binary numbers work exactly.
Yes — 100% free, with no sign-up. Everything is calculated in your browser.
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