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NDA 2015
Exam
NDA
Year
2015
Subject
Mathematics
Chapter
Binary Numbers

NDA 2015 · Mathematics · Binary Numbers

The decimal number (127.25)_ 10 , when converted to binary nunber,...

The decimal number (127.25)10(127.25)_{10}, when converted to binary nunber, takes the form

Options

  1. A(11111111.11)2(11111111.11)_2
  2. B(1111110.01)2(1111110.01)_2
  3. C(1110111.11)2(1110111.11)_2
  4. D(1111111.01)2(1111111.01)_2

Correct answer

D. (1111111.01)2(1111111.01)_2

Step-by-step solution

(127.25)10(127.25)_{10} Now,
2127
263-1
231-1
215-1
27-1
23-1
1-1
127=(1111111)_2Now,<br/><br/>Now, <br/><br/>\therefore \quad(127.25)_{10}=(11111111.01)_2\therefore \quadOption(D)iscorrect.Option (D) is correct.
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