About this calculator
Very long numbers are handled exactly.
How to use it
- Enter the first binary number.
- Choose the operation.
- Enter the second number.
The formula
Each binary digit is worth 2 raised to its position from the right
- AND, OR, XOR
- bitwise operations
Worked example
1011 + 110
- 1011 is 11 and 110 is 6.
- 11 + 6 = 17 = 10001 in binary.
What the result means
Division gives the whole-number quotient and the remainder.
Assumptions
- Non-negative inputs for bitwise operations.
Limitations
- Two’s complement is not shown.
Frequently asked questions
How do I add binary numbers?
Add column by column; 1 + 1 = 10, so write 0 and carry 1.
What is 1011 in decimal?
11.
What does XOR do?
Gives 1 where the bits differ.
Last reviewed on 3 October 2026. Found a mistake? Tell us.