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Question 2Asked in UGC NET Computer Science, November 2017 (Paper II & III, Selected Questions)

Let m = (313)₄ and n = (322)₄. Find three base 4 expansion of m + n.

  1. A(635)₄
  2. B(32312)₄
  3. C(21323)₄
  4. D(1301)₄
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Correct answer: (D) (1301)₄

Explanation

Convert both numbers to decimal, add, and convert back to base 4: (313)₄ = 3×4² + 1×4¹ + 3×4⁰ = 55; (322)₄ = 3×4² + 2×4¹ + 2×4⁰ = 58. 55 + 58 = 113, and 113 in base 4 is (1301)₄.

From UGC NET Computer Science PYQ, November 2017 (Paper II & III, Selected Questions)

This is question 2 of UGC NET Computer Science PYQ, November 2017 (Paper II & III, Selected Questions). See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.