Binary to Decimal Converter
Convert binary numbers to decimal format instantly
How to Convert Binary to Decimal
Binary numbers use base-2 (digits 0 and 1) while decimal numbers use base-10 (digits 0-9). To convert:
- Write down the binary number
- Assign powers of 2 to each digit (starting from right with 2⁰)
- Multiply each digit by its corresponding power of 2
- Sum all the products to get the decimal equivalent
Example Conversion
Binary: 1010
1×2³ + 0×2² + 1×2¹ + 0×2⁰ = 8 + 0 + 2 + 0 = 10
Decimal: 10
Frequently Asked Questions
The binary number system is a base-2 numeral system that uses only two digits: 0 and 1. It’s the fundamental language of computers and digital systems.
While computers use binary, humans typically work with decimal numbers. Conversion helps in programming, networking, and understanding how computers process information.
This converter can handle binary numbers up to 32 bits (32 digits), which converts to decimal values up to 4,294,967,295.
Implementation Notes
- Client-Side Processing: All conversions happen in the browser - no server processing required
- Validation: Includes real-time input validation to ensure only binary numbers are entered
- Limitations:
- Maximum 32-bit binary numbers supported (as noted in the FAQ)
- Input is automatically validated to contain only 0s and 1s
- Browser Support: Works in all modern browsers (Chrome, Firefox, Safari, Edge)
This implementation provides a complete, functional binary to decimal converter that works entirely in the browser.