Binary to Decimal Converter

The Binary to Decimal Converter is a tool that allows you to convert binary numbers (base-2) to decimal numbers (base-10). Binary is a number system that uses only two digits: 0 and 1. It is the fundamental language of computers and digital systems.

How to use this converter:

1. Enter one or more binary numbers in the input field (separated by spaces)
2. Click the "Convert to Decimal" button or enable auto-processing
3. View the decimal equivalent in the output field

Examples:

• 1010 in binary = 10 in decimal
• 1100 in binary = 12 in decimal
• 11111111 in binary = 255 in decimal

How binary to decimal conversion works:

In the binary system, each position represents a power of 2, starting from the rightmost digit (2^0 = 1). Moving left, each position represents the next power of 2: 2^1 = 2, 2^2 = 4, 2^3 = 8, and so on.

To convert a binary number to decimal, multiply each digit by its position value and sum the results. For example, to convert binary 1010:

1 × 2^3 + 0 × 2^2 + 1 × 2^1 + 0 × 2^0 = 8 + 0 + 2 + 0 = 10

This converter handles multiple binary numbers at once and provides instant conversion results.