Binary Arithmetic Calculator
Enter two whole numbers and choose an operation.
This result is an estimate only. Double-check important figures before relying on them.
How it is calculated
- The two numbers are converted to binary and the operation is done on their values
- The result is shown in binary and in decimal
- Division gives the whole quotient and the remainder
To convert one number into several bases, use the number base converter.
Worked example
13 (1101) + 6 (110):
- Result = 10011 in binary
- That is 19 in decimal
Why your number may differ
Only non-negative whole numbers are supported. Computer hardware also limits the size of numbers.
Frequently asked questions
How do I add binary numbers?
Add column by column from the right, carrying 1 whenever the sum of a column is 2 or more. 1 + 1 = 10, so write 0 and carry 1.
Why enter the numbers in decimal?
To keep the entry simple. The calculator shows each number in binary, so you can check your own working.
How is division handled?
It gives the whole-number quotient and the remainder, both in binary.