Octal to Binary and Hexadecimal Converter
Developer utility for translating base-8 numbers to binary and hex. Supports BigInt for large data streams and system programming.
About
In legacy computing systems, file permissions (UNIX chmod), and low-level digital electronics, the octal numeral system (base-8) remains relevant. However, modern debugging often requires viewing these values in Binary (base-2) or Hexadecimal (base-16). This utility allows developers to seamlessly translate between these formats without manual calculation. It is specifically optimized for "BigInt" operations, meaning it can handle integer sequences far exceeding standard 32-bit or 64-bit limits, a common requirement when analyzing memory dumps or data streams. The tool includes strict input validation to instantly flag non-octal digits (8 and 9), ensuring code integrity.
Formulas
Octal conversion relies on the direct mapping of 1 octal digit to 3 binary bits.
Hexadecimal conversion is performed by regrouping the resulting binary bits into sets of 4.
Reference Data
| Octal (Base-8) | Binary (Base-2) | Hex (Base-16) | Decimal (Ref) |
|---|---|---|---|
| 0 | 000 | 0 | 0 |
| 1 | 001 | 1 | 1 |
| 2 | 010 | 2 | 2 |
| 3 | 011 | 3 | 3 |
| 4 | 100 | 4 | 4 |
| 5 | 101 | 5 | 5 |
| 6 | 110 | 6 | 6 |
| 7 | 111 | 7 | 7 |
| 10 | 001 000 | 8 | 8 |
| 20 | 010 000 | 10 | 16 |
| 77 | 111 111 | 3F | 63 |
| 100 | 001 000 000 | 40 | 64 |