Binary Calculator
Perform arithmetic and logical operations on binary numbers.
Binary Result:
–
Decimal Result:
–
Enter binary values and choose an operation.
Binary Calculator
What this calculator helps you do
Use this binary calculator to add, subtract, multiply, divide, or convert binary values without doing the place-value work by hand. It is useful when you are checking programming exercises, logic design homework, or number-system conversions.
How binary math works
Binary uses only two digits: 0 and 1. Each position represents a power of 2, so the value of 1011 is 8 + 0 + 2 + 1 = 11 in decimal.
Worked example
If you convert 110101 to decimal, the result is 32 + 16 + 0 + 4 + 0 + 1 = 53. Going the other way, 53 in decimal becomes 110101 in binary.
When this tool is useful
- Checking binary arithmetic
- Converting binary to decimal or hexadecimal
- Understanding bit values in computing
Bottom line
This page is meant to give you a quick answer and a clear check on the number-system rules behind it.