Binary Calculator

What this tool does

Calculate binary instantly in your browser. Nonnegative binary integers; subtraction may give a negative (sign-magnitude) result and division is integer division with a remainder.

How to use the Binary Calculator

1. Enter or select first binary number.
2. Enter or select second binary number.
3. Enter or select operation.
4. Read the calculated result; change any measurement to compare alternatives.

Formula

Binary arithmetic works like decimal arithmetic but each digit is only 0 or 1 and you carry at 2 instead of 10; the calculator converts to integers, operates exactly, and converts back.

a

First binary number

b

Second binary number

op

Operation

Nonnegative binary integers; subtraction may give a negative (sign-magnitude) result and division is integer division with a remainder.

Worked example

For binary calculator, the following measurements illustrate the exact method: First binary number: 1010; Second binary number: 0101; Operation: add.

Results explained

Result (binary)

Result (binary) from the formula above. Nonnegative binary integers; subtraction may give a negative (sign-magnitude) result and division is integer division with a remainder.

Result (decimal)

Result (decimal) from the formula above. Nonnegative binary integers; subtraction may give a negative (sign-magnitude) result and division is integer division with a remainder.

First number (decimal)

First number (decimal) from the formula above. Nonnegative binary integers; subtraction may give a negative (sign-magnitude) result and division is integer division with a remainder.

Second number (decimal)

Second number (decimal) from the formula above. Nonnegative binary integers; subtraction may give a negative (sign-magnitude) result and division is integer division with a remainder.

Frequently asked questions