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NDA 2017 Maths · Mathematics · Binary Number System · medium

The binary representation of the decimal number 0.625 is

Single correct option

The binary representation of the decimal number 0.6250.625 is
  1. A. (0.110)2(0.110)_2
  2. B. (0.101)2(0.101)_2
  3. C. (0.011)2(0.011)_2
  4. D. (0.1001)2(0.1001)_2
Show answer and solution

Answer: (B) (0.101)2(0.101)_2

Multiply by 2 repeatedly: 0.625×2=1.250.625\times2=1.25 (digit 1), 0.25×2=0.50.25\times2=0.5 (digit 0), 0.5×2=1.00.5\times2=1.0 (digit 1). So 0.625=(0.101)2=12+180.625=(0.101)_2=\frac12+\frac18. Option (0.110)2(0.110)_2 equals 0.75.
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Original question written in the NDA 2017 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