Universal Base Converter (2–36)
Binary, octal, decimal, hex and more
About Universal Base Converter
Converting numbers between different bases is a fundamental operation in computer science, programming, and digital electronics. Our Universal Base Converter makes this process effortless, supporting any base from 2 (binary) to 36, with full support for negative numbers and fractional values.
What is Base Conversion?
A number base (or radix) determines how many unique digits are used to represent numbers. The decimal system we use daily is base 10, using digits 0-9. Binary (base 2) uses only 0 and 1, hexadecimal (base 16) uses 0-9 and A-F, and so on. Converting between these systems is essential for understanding how computers store and process data.
Common Number Bases
- Binary (Base 2): Used in all digital systems and computer memory. Only uses digits 0 and 1.
- Octal (Base 8): Uses digits 0-7. Historically used in computing as a more compact representation than binary.
- Decimal (Base 10): The standard number system humans use, with digits 0-9.
- Hexadecimal (Base 16): Uses 0-9 and A-F. Widely used in programming, color codes, and memory addresses.
- Base 36: The highest base using alphanumeric characters (0-9, a-z). Great for compact IDs and URL shortening.
How to Use the Base Converter
- Enter your number in the input field (supports negative numbers and decimals)
- Select the base of your input number from the first dropdown
- Select the target base you want to convert to from the second dropdown
- Click "Convert" to see the result instantly
- Use the "Copy" button to copy the result to your clipboard
Practical Use Cases
Programming & Development: Convert hexadecimal color codes to decimal RGB values, understand memory addresses, or debug binary data. Developers frequently need to switch between hex and decimal when working with APIs, databases, and low-level code.
Computer Science Education: Students learning about number systems, data representation, and computer architecture benefit from hands-on conversion practice. Understanding how binary relates to hexadecimal and decimal is crucial for grasping how computers work.
Digital Electronics: Engineers working with microcontrollers, FPGAs, and digital circuits often need to convert between binary, octal, and hexadecimal to read datasheets, configure registers, and analyze signal patterns.
Features & Benefits
- Wide Range: Convert between any base from 2 to 36
- Fraction Support: Handle decimal points and fractional values accurately
- Negative Numbers: Full support for negative integers
- Instant Results: Real-time conversion with no delays
- Copy to Clipboard: One-click copying for easy use in your projects
- No Installation: Works entirely in your browser, no downloads needed
- Privacy First: All conversions happen locally, your data never leaves your device
Tips for Accurate Conversion
When entering numbers, make sure you're using valid digits for your chosen base. For example, binary only accepts 0 and 1, while hexadecimal accepts 0-9 and A-F (case insensitive). The tool will alert you if you enter invalid characters for the selected base.
For fractional conversions, note that some fractions may result in repeating decimals in certain bases. The converter limits fractional output to 12 digits to maintain readability while preserving accuracy for most practical applications.
Frequently Asked Questions
You can convert between any base from 2 to 36. Common bases include binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). Higher bases use letters a-z to represent digits beyond 9.
Yes! Our base converter fully supports negative integers and fractional parts. Simply enter your number with a minus sign for negatives or a decimal point for fractions, and the tool will handle the conversion accurately.
Select 'Base 2 (bin)' as your input base, enter your binary number, then select 'Base 16 (hex)' as your output base and click Convert. The tool will instantly show the hexadecimal equivalent.
Base 36 uses digits 0-9 and letters a-z, making it the highest base using standard alphanumeric characters. It's commonly used for compact representation of large numbers, URL shortening, and generating short unique identifiers.
The converter is accurate within JavaScript's number precision limits. For extremely large integers beyond JavaScript's safe integer range (2^53-1), you may experience precision loss. For most practical applications, the accuracy is excellent.