Binary to Decimal Converter

Convert a binary number into its decimal value.

How to use Binary to Decimal Converter

1. Enter Binary Value. 2. Only binary digits are valid after an optional sign and 0b prefix. This uses exact integer arithmetic; signed output is mathematical sign-and-magnitude, not a fixed-width two-complement bit pattern. 3. Select Convert or press Enter. 4. Select Copy result to copy the answer, or Reset to clear the form and result.

Why use this tool?

Only binary digits are valid after an optional sign and 0b prefix. This uses exact integer arithmetic; signed output is mathematical sign-and-magnitude, not a fixed-width two-complement bit pattern.

How the calculation works

Interpret a signed base-2 whole numeral and output base 10. Only binary digits are valid after an optional sign and 0b prefix. This uses exact integer arithmetic; signed output is mathematical sign-and-magnitude, not a fixed-width two-complement bit pattern. Counts and dimensions use the declared rounding convention; other numbers display up to three decimal places where applicable. Nonzero subsecond durations are labelled. Durations round to the nearest second; nonzero subsecond durations are labelled. File-size output units are decimal. Changing an input label does not convert filled values.

Example

Worked example: Binary Value = "1010". Result: 10.

Practical tip

Check the input labels and assumptions against the binary to decimal task before reusing the number.