Binary Converter
Convert between binary, decimal, hexadecimal, and octal number systems instantly
0-9
0-1
0-9, A-F
0-7
How It Works
This converter helps you switch between different number systems commonly used in programming:
- Binary (Base-2): Uses only 0 and 1, fundamental to computer systems
- Decimal (Base-10): The standard number system we use daily
- Hexadecimal (Base-16): Uses 0-9 and A-F, commonly used for colors and memory addresses
- Octal (Base-8): Uses 0-7, sometimes used in Unix file permissions
Enter a value in any field, and the converter will automatically calculate and display the equivalent values in all other number systems.
Frequently Asked Questions
What is binary used for?
Binary is the fundamental language of computers. Every piece of data in a computer is ultimately stored and processed as binary (0s and 1s), representing electrical states of off and on.
Why is hexadecimal important in programming?
Hexadecimal is compact and human-readable. It's commonly used for representing colors in web design (#FF5733), memory addresses, and debugging. Each hex digit represents exactly 4 binary bits.
How do I convert binary to decimal manually?
Multiply each binary digit by 2 raised to its position (starting from 0 on the right), then sum the results. For example: 1011 = (1×2³) + (0×2²) + (1×2¹) + (1×2⁰) = 8 + 0 + 2 + 1 = 11