Binary to Decimal

Binary to Decimal Converter


A Binary to Decimal Converter is a free online tool that allows you to convert numbers from binary (base-2) representation to decimal (base-10) representation. In computing and digital systems, data is often represented in binary format, which uses only two digits: 0 and 1. Decimal, on the other hand, is the base-10 numbering system that we commonly use in everyday life, which includes digits from 0 to 9.

The process of converting binary numbers to decimal numbers involves multiplying each binary digit by the corresponding power of 2 and then summing up the results. Here are the steps for converting a binary number to decimal:

  • Start from the rightmost (least significant) digit of the binary number.
  • Assign a power of 2 to each binary digit, starting with 2^0 for the rightmost digit, 2^1 for the next digit to the left, 2^2 for the next one, and so on.
  • Multiply each binary digit by its corresponding power of 2.
  • Sum up the results of these multiplications to obtain the decimal equivalent.

For example, to convert the binary number 1101 to decimal:

  • Start from the right: 1, 0, 1, 1
  • Assign powers of 2: 2^0, 2^1, 2^2, 2^3
  • Multiply: 1 * 2^0 + 0 * 2^1 + 1 * 2^2 + 1 * 2^3 = 1 + 0 + 4 + 8 = 13
  • So, 1101 in binary is equivalent to 13 in decimal.

A Binary to Decimal Converter automates this process, making it much quicker and error-free, especially for longer binary numbers. It's a useful tool for programmers, engineers, and anyone working with binary data who needs to convert it into a more familiar decimal format for various calculations and applications.

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