Free Binary to Decimal Converter
Convert binary numbers (base-2) to decimal numbers (base-10) instantly with our free online converter. Perfect for programming students, computer science learners, software developers, and anyone working with binary data. Simply enter your binary number and get the decimal equivalent immediately. No registration required, works offline, and handles any length of binary input with 100% accuracy.
Step-by-Step Conversion:
Quick Examples
How Binary to Decimal Conversion Works
Understanding Binary System
Binary is a base-2 number system using only digits 0 and 1. Each position represents a power of 2, starting from 2⁰ on the right.
Calculate Powers of 2
Multiply each binary digit by its corresponding power of 2, then sum all the results.
Get Decimal Result
The sum of all calculations gives you the decimal equivalent of the binary number.
Instant Conversion
Convert binary to decimal instantly with real-time validation and error checking.
Input Validation
Smart validation ensures only valid binary numbers (0s and 1s) are processed.
Step-by-Step
See detailed conversion steps to understand how binary to decimal conversion works.
Who Uses This Tool?
Programmers
Convert binary data, debug code, and work with bit operations
Students
Learn number systems, complete assignments, and understand concepts
Engineers
Design digital circuits, work with embedded systems, and analyze data
Educators
Teach number systems, create examples, and demonstrate conversions