Question Detail

COM 101 Information Representation and Number Systems Objective Question

Question

What is the decimal equivalent of the binary number 1011?
Options
A 10
B 11
Correct Answer
C 13
D 14
Correct Answer

Option B is the correct answer.

Detailed Explanation

The binary number 1011 is explicitly given as the binary representation of decimal 11. Converting: (12^3) + (02^2) + (12^1) + (12^0) = 8 + 0 + 2 + 1 = 11.

Hint

Calculate the value by adding the powers of 2 represented by each 1 digit, starting from the rightmost as 2^0.

Question Info