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NDA 2019 Maths · Mathematics · Binary Number System · easy

The decimal equivalent of the binary number (1010110)2 is

Single correct option

The decimal equivalent of the binary number (1010110)2(1010110)_2 is
  1. A. 8585
  2. B. 9494
  3. C. 172172
  4. D. 8686
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Answer: (D) 8686

Write the place values from the right: 1,2,4,8,16,32,641,2,4,8,16,32,64. The digits 10101101010110 give 64+16+4+2=8664+16+4+2=86. Reading the place values from the wrong end would give (0110101)2=53(0110101)_2=53, and forgetting the digit 22 gives 8484. Doubling and adding as you read left to right also gives 8686 with the least effort.
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Original question written in the NDA 2019 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