Explains the conversion of a binary number (base-2) to an equivalent

Question

decimal number (base-10).�

Answer 1

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

1. Write down the binary number. For example, let's consider the binary number 1011.

2. Start from the rightmost digit (the least significant bit) and assign a place value to each digit. The rightmost digit has a place value of 2^0, the next digit has a place value of 2^1, the next digit has a place value of 2^2, and so on.

3. Multiply each digit by its corresponding place value and sum all the results. In our example, the calculation would be:

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

Therefore, the decimal equivalent of the binary number 1011 is 13.