Question

What decimal value is equivalent to the binary number 1101?

Answer 1

The decimal value equivalent to the binary number 1101 is 13.

Step-by-step explanation:

The decimal value equivalent to the binary number 1101 is 13.

To convert a binary number to decimal, we need to multiply each digit by the corresponding power of 2, starting from right to left. For example, in the binary number 1101, the digit 1 in the leftmost position represents 2^3 (2 raised to the power of 3), the digit 1 in the second position represents 2^2, the digit 0 in the third position represents 2^1, and the digit 1 in the rightmost position represents 2^0.

So, the decimal value is (1 * 2^3) + (1 * 2^2) + (0 * 2^1) + (1 * 2^0) = 8 + 4 + 0 + 1 = 13.