Convert binary to decimal instantly. Enter a valid integer — results update live with exact BigInt precision.
Selected Binary values converted to Decimal using exact positional base math.
| Binary | Decimal |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 10 | 2 |
| 1010 | 10 |
| 11111111 | 255 |
Positional base conversion in both directions, plus a worked example.
decimal = convert(binary digits → integer → decimal digits)
binary = convert(decimal digits → integer → binary digits)
Positional bases use place values, not a single multiplier. Each binary digit is parsed against base 2, converted to an exact integer, then written in decimal.
To go the other way, parse decimal digits, convert to the same integer, and format in binary. The live converter handles both directions.
Worked example on this page:
1010 binary = 10 decimal
Short background on the units used in this conversion.
Binary (Base-2) uses positional notation in base 2. Each digit position represents a power of the base — this is notation, not a currency or measurement unit.
Binary is the native language of digital logic — bits, registers, and machine code.
Decimal (Base-10) expresses the same integer value using a different radix. The numeric value is identical; only the digit representation changes.
Decimal output is easiest to read for everyday quantities and verification.
Jump to any number base conversion starting from base_2 — including the reverse direction and every other unit in our dataset.