Binary / Hex Converter
Convert between Binary, Decimal, Hexadecimal and Octal number systems instantly.
01 Binary / Hex Converter
Binary Converter — Free Number System Converter
Convert between binary, decimal, hexadecimal, and octal number systems instantly with our free online converter. Enter a number in any base and see the equivalent in all other bases simultaneously — perfect for students, programmers, and engineers. Number system conversion is a fundamental skill in computer science and electronics. Binary (base-2) is the native language...
Convert between binary, decimal, hexadecimal, and octal number systems instantly with our free online converter. Enter a number in any base and see the equivalent in all other bases simultaneously — perfect for students, programmers, and engineers.
Number system conversion is a fundamental skill in computer science and electronics. Binary (base-2) is the native language of computers. Hexadecimal (base-16) is used in memory addresses, colour codes, and debugging. Decimal (base-10) is our everyday counting system. Octal (base-8) appears in Unix file permissions and legacy systems.
Number System Reference
- Binary (Base-2): Uses only 0 and 1 — the foundation of all digital computing
- Decimal (Base-10): Uses digits 0–9 — the standard human number system
- Hexadecimal (Base-16): Uses 0–9 and A–F — compact representation of binary data
- Octal (Base-8): Uses digits 0–7 — used in Unix permissions (e.g., chmod 755)
How to Convert Binary Numbers — Step by Step
- Select input base: Choose the number system of your input (binary, decimal, hex, or octal).
- Enter your number: Type the number you want to convert.
- View all conversions: All equivalent values appear instantly.
- Copy any result: Click to copy any of the converted values.
- See the working: Review the step-by-step conversion explanation if shown.
❓ Frequently Asked Questions
Multiply each binary digit by 2 to the power of its position (from right, starting at 0), then sum all results. For example: 1011 = (1×8)+(0×4)+(1×2)+(1×1) = 11.
Hex is used in programming for memory addresses, colour codes (#FF5733), byte representation, and debugging. It's more compact than binary — one hex digit represents 4 binary digits.
chmod 755 means owner can read/write/execute (7=111), group can read/execute (5=101), others can read/execute (5=101). The tool helps convert these permission values.
The tool converts unsigned integers. Negative binary (two's complement) requires additional interpretation that varies by context.
Yes, 100% free with no account required.
The tool handles standard 32-bit integers. Very large numbers (above 2^53) may lose precision in JavaScript — use a dedicated big integer tool for those.
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