How to Convert Binary Numbers to Decimal Numbers

What is the process of converting binary numbers to decimal numbers?

Can you explain how to convert binary numbers to decimal numbers?

Answer:

Converting binary numbers to decimal numbers involves a simple process of multiplying each digit by the corresponding power of 2 based on its position and then summing these products. The rightmost digit is multiplied by 2^0, the next digit to the left is multiplied by 2^1, and so on.

To convert a binary number to a decimal number, you can follow these steps:

1. Write down the binary number you want to convert.
2. Starting with the rightmost digit, multiply each digit by 2 raised to the power of its position (0 for the rightmost digit, 1 for the next digit, and so on).
3. Sum up these products to get the decimal equivalent of the binary number.

For example, let's convert the binary number 1101 to decimal:

1*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 8 + 4 + 0 + 1 = 13

Therefore, the binary number 1101 is equivalent to the decimal number 13.

Understanding how to convert binary numbers to decimal numbers can be useful in various fields, especially in computer science and digital electronics.