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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Binary Numbers

NDA 2013 · Mathematics · Binary Numbers

A number in binary system is 110001. It is equal to which one of...

A number in binary system is 110001. It is equal to which one of the following numbers in decimal system?

Options

  1. A45
  2. B46
  3. C48
  4. D49

Correct answer

D. 49

Step-by-step solution

110001=1×25+1×24+0×23+0×22+0×21+1×20=32+16+0+0+0+1=49\begin{aligned} & 110001 \\ & =1 \times 2^5+1 \times 2^4+0 \times 2^3+0 \times 2^2+0 \times 2^1+1 \times 2^0 \\ & =32+16+0+0+0+1=49\end{aligned}
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