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Number Base Converter

🧰 General · Binary, octal, decimal, and hexadecimal base conversion

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A free EngineersLab account is required to use this tool.

This tool relies on table/conversion logic rather than a single closed-form formula.

Embedded systems programming, digital circuit design, and hardware debugging all require quickly switching between number bases. Microcontroller registers are usually documented in hexadecimal, while bit masks and flag operations are more readable in binary.

This tool automatically displays the entered number in all four bases (binary, octal, decimal, hexadecimal). The 0x or 0b prefixes are recognized automatically.

Example: 0xFF (hex) = 255 (decimal) = 0b11111111 (binary) — the largest value a byte (8 bits) can hold, a limit frequently encountered in hardware programming.

✅ Verified

This tool's calculation logic has been checked against a hand-computed numerical verification test. Test source: src/lib/calc/taban.test.ts.

  • [19] Patterson, David A. and Hennessy, John L.. Computer Organization and Design, 6 ed.. Morgan Kaufmann, 2020.

Results are for educational and preliminary-sizing purposes; final engineering design decisions must reference the relevant standards and a licensed engineer's approval.