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NDA 2023 Maths · Mathematics · Binary Number System · easy

The binary representation of the decimal number 100 is

Single correct option

The binary representation of the decimal number 100100 is
  1. A. 11000101100010
  2. B. 10011001001100
  3. C. 11001001100100
  4. D. 11001101100110
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Answer: (C) 11001001100100

100=64+32+4=26+25+22100=64+32+4=2^6+2^5+2^2, so the bits at positions 6,5,26,5,2 are 1 and all others 0, giving 11001001100100. The other strings equal 9898, 7676 and 102102. Repeated division by 2 gives remainders 0,0,1,0,0,1,10,0,1,0,0,1,1, read upwards.
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Original question written in the NDA 2023 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake