OCS Paper 2

Q. Which one of the following represents the binary equivalent of the decimal number 23?

(A) 01011
(B) 10111
(C) 10011
(D) None of the above

Question from Odisha OCS Paper 2 2024

Correct Answer: (B) 10111

Explanation:
To convert the decimal number 23 into its binary equivalent, we repeatedly divide the number by 2 and record the remainders. The binary number is obtained by reading the remainders from bottom to top.

Step-by-step conversion:
1. 23 ÷ 2 = 11 remainder 1
2. 11 ÷ 2 = 5 remainder 1
3. 5 ÷ 2 = 2 remainder 1
4. 2 ÷ 2 = 1 remainder 0
5. 1 ÷ 2 = 0 remainder 1

Now, reading the remainders from bottom to top, we get 10111.

Thus, the binary equivalent of the decimal number 23 is 10111, and the correct answer is (B) 10111.

Check Demo Video

UPSC Factory

Master UPSC offline! 📚🎯 4000+ Prelims PYQs, Mains model answers, NCERT books, Syllabus tracker, topper notes, past papers.
Give it a try, you will love it !!💯

UPSC Factory for Android
Conquer UPSC offline! 🚀 PYQs (Prelims & Mains), Test Series, Syllabus Tracker.
Give it a try, you will love it 💯