Base Converter
Instantly convert numbers between binary, octal, decimal, and hexadecimal with batch mode, bit-length preview, and one-click copy.
Enter a number in any base (e.g., 1010, 0xFF, 755)
Options
Bitwise Operations
Leave Operand empty for NOT operation.
Converted Results
Enter a number to see conversion results
What Are Number Systems?
Number systems are different ways to represent and work with numbers. Binary uses only 0s and 1s (base-2), octal uses digits 0-7 (base-8), decimal uses digits 0-9 (base-10), and hexadecimal uses digits 0-9 and letters A-F (base-16). Each system has specific uses in computing and mathematics.
Binary
Base-2
Uses digits: 0, 1
Example: 1010
Octal
Base-8
Uses digits: 0-7
Example: 755
Decimal
Base-10
Uses digits: 0-9
Example: 123
Hexadecimal
Base-16
Uses: 0-9, A-F
Example: FF
Why Are Different Number Systems Important?
Computer Science
Computers use binary internally, while programmers often use hexadecimal to represent memory addresses
System Administration
File permissions in Unix/Linux systems are often represented in octal (like 755)
Specific Functions
Key Features
Bidirectional Conversion
Convert between any number base instantly
Batch Processing
Process up to 1,000 numbers at once
Bit-length Preview
See bit and byte length of converted numbers
Auto-detection
Automatically detect input number base
Export Options
Download results in CSV or JSON format
History Tracking
Keep track of recent conversions
Why Choose Our Base Converter?
Our base converter offers superior performance and features compared to other online tools.
Common Use Cases
Software Development
Debug binary protocols, convert memory addresses, analyze bit patterns
Computer Science Education
Learn number systems, understand binary arithmetic, study data representation
System Administration
Configure network settings, analyze log files, work with file permissions
Digital Electronics
Design circuits, analyze signals, work with microcontrollers
How to Use
Single Number Conversion
- 1 Enter your number in the input field
- 2 Select the source base or use auto-detection
- 3 View the converted results in all bases
- 4 Copy or download the results as needed
Batch Conversion
- 1 Switch to batch mode
- 2 Enter multiple numbers, one per line
- 3 Click Convert to process all numbers
- 4 Export results in CSV or JSON format
Technical Details
Precision and Limits
The converter uses JavaScript's BigInt for handling large numbers, ensuring accuracy even with very large values. Numbers over 1024 bits will show a performance warning but still convert correctly.
Prefix Handling
The tool automatically recognizes programming prefixes: 0b for binary, 0o for octal, and 0x for hexadecimal. These prefixes are optional and will be ignored if they conflict with the selected base.
Overflow Detection
The converter detects potential overflow conditions and provides warnings. For signed integers, it shows both signed and unsigned interpretations.
Input Validation
Each input is validated against the selected base rules. Invalid characters are highlighted, and suggestions are provided for correction.
Frequently Asked Questions
What number bases are supported?
Our tool supports bases 2-36, including common ones like binary (2), octal (8), decimal (10), and hexadecimal (16).
How do I convert negative numbers?
Enter negative numbers with a minus sign. The tool handles two's complement representation for binary and other bases appropriately.
What's the maximum number size supported?
JavaScript's safe integer limit is 2^53-1. For larger numbers, precision may be lost. Use specialized tools for arbitrary precision arithmetic.
Can I convert decimal fractions?
Currently, our tool supports integer conversion only. Fractional base conversion requires more complex algorithms and may be added in future versions.
What are the practical uses of different bases?
Binary (base 2) for computer science, octal (base 8) for Unix permissions, hexadecimal (base 16) for colors and memory addresses, base 64 for encoding.