Number Systems Converters
12 free number systems converters with formulas, conversion tables, and worked examples.
From Binary
From Octal
From Decimal
From Hexadecimal
All Number Systems Conversions
| Conversion | Formula |
|---|---|
| Binary to Octal | Convert binary → decimal → octal (base 2 → 8) |
| Binary to Decimal | Expand each binary digit × 2^position, sum all values |
| Binary to Hexadecimal | Convert binary → decimal → hexadecimal (base 2 → 16) |
| Octal to Binary | Convert octal → decimal → binary (base 8 → 2) |
| Octal to Decimal | Expand each octal digit × 8^position, sum all values |
| Octal to Hexadecimal | Convert octal → decimal → hexadecimal (base 8 → 16) |
| Decimal to Binary | Repeatedly divide by 2, read remainders bottom-to-top |
| Decimal to Octal | Repeatedly divide by 8, read remainders bottom-to-top |
| Decimal to Hexadecimal | Repeatedly divide by 16, read remainders bottom-to-top |
| Hexadecimal to Binary | Convert hexadecimal → decimal → binary (base 16 → 2) |
| Hexadecimal to Octal | Convert hexadecimal → decimal → octal (base 16 → 8) |
| Hexadecimal to Decimal | Expand each hexadecimal digit × 16^position, sum all values |