Question 91

Computer Awareness Number representations Easy

The decimal equivalent of the binary number \( (1011.01)_2 \)

(A) \( (11.25)_{10} \)
(B) \( (10.123)_{10} \)
(C) \( (11.175)_{10} \)
(D) \( (9.23)_{10} \)
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Convert the binary number \( (1011.01)_2 \) into its decimal equivalent by splitting the integer and fractional parts. \[\] 1. Integer Part: \( 1011_2 \) Using the positional values for binary numbers: \(1011_2 = 1 \cdot 2^3 + 0 \cdot 2^2 + 1 \cdot 2^1 + 1 \cdot 2^0 = 8 + 0 + 2 + 1 = 11\) \[\] 2. Fractional Part: \( 0.01_2 \) Using the positional values for binary fractions: \( 0.01_2 = 0 \cdot 2^-1 + 1 \cdot 2^-2 = 0 + 0.25 = 0.25\) \[\] 3. Combining both: Adding the integer and fractional parts: 11 + 0.25 = 11.25 \[\] So, the decimal equivalent is ( 11.25 ). \[\] Correct Option: (a)

Practice Similar Number representations Questions

Reinforce your conceptual grasp with related questions from CUET-MCA 2021:

Q34 Which of the following commands is used to delete a table in SQL?
Solve →
Q35 Which of the following standard algorithms is not a greedy algorithm?
Solve →
Q36 The waterfall model of software development is
Solve →
Q37 A graph is a collection of
Solve →
Q44 Which of the following scheduling algorithms gives minimum average waiting...
Solve →
Full-Length Test Series

Prepare for CUET-MCA Under Real Exam Conditions

Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.

Start Free Mock Test Series →