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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Binary Numbers

NDA 2012 · Mathematics · Binary Numbers

What is the decimal number representation of the binary number...

What is the decimal number representation of the binary number (11101.001)2(11101.001)_2 ?

Options

  1. A30.125
  2. B29.025
  3. C29.125
  4. D28.025

Correct answer

C. 29.125

Step-by-step solution

11101.0011×24+1×23+1×22+0×21+1×20⋅0×2−+0×2−2+1×2−316+8+4+0+1⋅0+0+18\begin{aligned} & 11101.001 \\ & 1 \times 2^4+1 \times 2^3+1 \times 2^2+0 \times 2^1+1 \times 2^0 \cdot 0 \times 2^{-} \\ & +0 \times 2^{-2}+1 \times 2^{-3} \\ & 16+8+4+0+1 \cdot 0+0+\frac{1}{8} \end{aligned}29.125.$
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