How to Convert Binary to Decimal
- Enter a binary number (containing only 0s and 1s)
- Click "Convert to Decimal"
- View the decimal equivalent
- Or enter a decimal number to convert to binary
Binary Number System Basics
The binary system is a base-2 number system that uses only two digits: 0 and 1. Each digit in a binary number represents a power of 2.
Common Binary to Decimal Conversions
Practical Applications
- Computer programming and debugging
- Digital electronics and circuit design
- Computer science education
- Network addressing (subnet masks)
- Data encoding and compression
Conversion Formula
decimal = d0×20 + d1×21 + d2×22 + ...
Where dn is the binary digit at position n
Binary Number Characteristics
- Base-2 number system
- Fundamental to all digital systems
- Each binary digit is called a "bit"
- 8 bits = 1 byte (can represent 256 values)