Convert decimal to binary instantly. Enter a valid integer — results update live with exact BigInt precision.
Selected Decimal values converted to Binary using exact positional base math.
| Decimal | Binary |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 9 | 1001 |
| 10 | 1010 |
| 255 | 11111111 |
Positional base conversion in both directions, plus a worked example.
binary = convert(decimal digits → integer → binary digits)
decimal = convert(binary digits → integer → decimal digits)
Positional bases use place values, not a single multiplier. Each decimal digit is parsed against base 10, converted to an exact integer, then written in binary.
To go the other way, parse binary digits, convert to the same integer, and format in decimal. The live converter handles both directions.
Worked example on this page:
10 decimal = 1010 binary
Short background on the units used in this conversion.
Decimal (Base-10) uses positional notation in base 10. Each digit position represents a power of the base — this is notation, not a currency or measurement unit.
Decimal is everyday base-10 counting — the default human number system.
Binary (Base-2) expresses the same integer value using a different radix. The numeric value is identical; only the digit representation changes.
Binary output shows the exact bit pattern for a decimal or hex value.
Jump to any number base conversion starting from base_10 — including the reverse direction and every other unit in our dataset.