Binary to Decimal

The Binary to Decimal tool is a mathematical conversion tool that allows users to convert binary numbers to decimal numbers. Binary numbers are made up of only two digits, 0 and 1, whereas decimal numbers are made up of ten digits, 0 through 9.

The tool uses a simple algorithm to convert binary numbers to decimal numbers. The algorithm works by starting with the rightmost digit of the binary number, which represents the units placed in the decimal system. The digit is multiplied by 2 to the power of 0, which equals 1. The result is added to the running total. The process is repeated for the next digit, which represents the twos place in the decimal system. The digit is multiplied by 2 to the power of 1, which equals 2. The result is added to the running total. This process is repeated for each digit in the binary number until all digits have been processed.

The resulting sum is the decimal equivalent of the binary number. For example, the binary number 1011 would be converted to the decimal number 11 using the Binary to Decimal tool.

The Binary to Decimal tool is useful for computer programming, as computers use binary numbers to represent data. It is also useful for understanding how the binary system works, and how it relates to the decimal system.