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NDA 2020 Maths · Mathematics · Binary Number System · medium

The decimal value of (1101.101)2 is

Single correct option

The decimal value of (1101.101)2(1101.101)_2 is
  1. A. 13.5
  2. B. 11.625
  3. C. 13.125
  4. D. 13.625
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Answer: (D) 13.625

Integer part: 8+4+0+1=138+4+0+1=13. Fractional part: 12+0+18=0.625\dfrac12+0+\dfrac18=0.625. So the value is 13.62513.625. The places after the point have weights 12,14,18\frac12,\frac14,\frac18; shifting them one place gives the wrong value 13.125.
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Original question written in the NDA 2020 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