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Unit Conversion Calculators

Binary to Decimal / Decimal to Binary Converter

Convert a number between base-2 (binary) and base-10 (decimal) in either direction.

Enter a binary number (e.g. 1010) or a decimal number, matching the direction selected above.
Result —
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About the Binary to Decimal / Decimal to Binary Converter

Binary (base-2) uses only the digits 0 and 1, and is the number system computers use internally. Decimal (base-10) is the everyday number system using digits 0-9. Each binary digit represents a power of 2.

Formula: Decimal = ∑ (bit × 2position). To go the other way, repeatedly divide the decimal number by 2 and record the remainders.

Select a direction, enter your number, and the converter instantly performs the base conversion — useful for computer science, digital electronics and programming.

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