Binary to decimal calculator - convert a binary number to denary

The binary to decimal calculator converts a binary number (base 2) to its decimal equivalent (base 10). The conversion process involves calculating the value of each digit in the binary number, based on its position in the number. For example, the rightmost digit in a binary number has a value of 2^0 (or 1 in decimal), the next digit to the left has a value of 2^1 (or 2 in decimal), and so on. The decimal equivalent of a binary number is found by adding up the decimal values of each digit, based on its position in the binary number.

Converting a binary number to denary

Converting a binary number to a denary number can be done by summing the values of each digit in the binary number multiplied by a power of 2. Here are the steps to convert a binary number to a denary number:

  1. Start with the rightmost digit in the binary number.
  2. Multiply that digit by 2^0 (2 to the power of 0)
  3. Move to the next digit to the left, and multiply that digit by 2^1 (2 to the power of 1)
  4. Repeat step 3 for each digit, moving from right to left and multiplying each digit by 2^n, where n is the position of the digit from the right, starting with 0.
  5. Sum all the results obtained from steps 2 to 4
  6. The final result is the decimal equivalent of the binary number.

Example:

To convert the binary number 1010 to decimal: