Numeral Base Converter
The ultimate online base converter. Instantly translate numbers between Binary, Decimal, Hexadecimal, and Octal with real-time updates.
Built With Care
“In low-level computing, different bases represent the same data in ways optimized for different tasks. Hexadecimal (Base 16) is concise for representing large binary strings (like memory addresses or colors) because one hex digit perfectly maps to four binary bits (a nibble). This tool handles these translations using BigInt, ensuring accuracy even for integers larger than the standard 64-bit safety limit.”
Numeral Base Converter
Convert numbers between Binary, Decimal, Hexadecimal, and Octal instantly. Axonix's free base converter is a developer-essential tool for translating machine code, memory addresses, and color codes with real-time precision.
- 1Identify the number system you are starting with (Decimal, Binary, Hex, or Octal).
- 2Locate the corresponding card and input your value into the text field.
- 3Observe how all other base systems update instantly in real-time.
- 4Click the copy icon on any card to save the converted value to your clipboard.
- 5Use the placeholder examples for reference if you are unsure of the correct format.
- Dynamic Real-time Updates: All bases update simultaneously as you type into any field.
- Four System Support: Complete coverage of Decimal (10), Binary (2), Hex (16), and Octal (8).
- High Precision: Built using native BigInt compatibility for accurate large-number transformations.
- Responsive Dashboard: Clean, modular layout designed for quick use on both mobile and desktop.
- Instant Conversion: Results appear as you type across binary, octal, decimal, and hexadecimal.
Numeral Base Converter Specs
Limits
- Bases 2, 8, 10, 16
- Integer-only conversion
Formats
- Output: synchronized decimal/binary/hex/octal fields
Defaults
- 255 decimal = FF hex = 11111111 binary = 377 octal
How it works
- parseInt and toString with radix
Honest caveats
- No fractional or negative values
- Empty input clears all fields
Real Ways People Use This
Memory Address Debugging
Convert hex memory dumps (e.g., 0x7FFF) into decimal to understand offset and array indexing logic.
Network Subnetting
Translate IP octets into binary to calculate subnet masks and CIDR ranges efficiently.
Web Color Codes
Convert RGB decimal values (0-255) into Hex codes (#FF0000) for CSS implementation.
Permission Setting
Calculate Unix file permissions (chmod) by converting binary flags to their Octal representation.
- JavaScript standard numbers lose precision above 2^53. This tool uses BigInt where supported but results may vary across browsers.
- Non-numeric characters in any base field will produce NaN. Double-check your input before relying on the output.
- Hexadecimal input is case-insensitive but output is always uppercase for consistency.
- 1Only type digits valid in the selected base — binary accepts 0-1, octal 0-7, hex 0-F.
- 2Verify against a known value (e.g., 255 decimal = FF hex) before trusting large conversions.
- 3For numbers beyond 2^53, expect JavaScript precision limits in the lower digits.