Convert hexadecimal to binary instantly. Enter a valid integer — results update live with exact BigInt precision.
Selected Hexadecimal values converted to Binary using exact positional base math.
| Hexadecimal | Binary |
|---|---|
| 0 | 0 |
| A | 1010 |
| 10 | 10000 |
| FF | 11111111 |
| 100 | 100000000 |
Positional base conversion in both directions, plus a worked example.
binary = convert(hexadecimal digits → integer → binary digits)
hexadecimal = convert(binary digits → integer → hexadecimal digits)
Positional bases use place values, not a single multiplier. Each hexadecimal digit is parsed against base 16, 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 hexadecimal. The live converter handles both directions.
Worked example on this page:
FF hexadecimal = 11111111 binary
Short background on the units used in this conversion.
Hexadecimal (Base-16) uses positional notation in base 16. Each digit position represents a power of the base — this is notation, not a currency or measurement unit.
Hexadecimal compactly represents bytes — common in memory dumps, CSS colors, and MAC addresses.
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_16 — including the reverse direction and every other unit in our dataset.