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About the Binary Calculator
The Binary Calculator converts numbers between binary and decimal and performs binary arithmetic such as addition, subtraction, multiplication, and division. Enter a value, and the result appears together with its equivalent in the other base.
The tool uses positional notation for binary to decimal conversion: it multiplies each bit by its power of 2 and sums the results. For decimal to binary, it applies repeated division by 2 and reads the remainders from bottom to top. Arithmetic follows the same carry and borrow rules as base 10, only with powers of 2. Tip: group long binary results into sets of four bits from the right to read them accurately.
- Type a number into the binary or decimal field.
- Press calculate to convert the value to the other base.
- Pick an operation, enter a second number, and view the computed result.