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

• A

  $(11111111.11)_2$
• B

  $(1111110.01)_2$
• C

  $(1110111.11)_2$
• Correct answer
  D

  $(1111111.01)_2$

Solution

$(127.25)_{10}$ Now, \begin{array}{l|l}2 & 127 \\\hline 2 & 63-1 \\\hline 2 & 31-1 \\\hline 2 & 15-1 \\\hline 2 & 7-1 \\\hline 2 & 3-1 \\\hline & 1-1\end{array} $127=(1111111)_2$ Now,

$\therefore \quad(127.25)_{10}=(11111111.01)_2$ $\therefore \quad$ Option (D) is correct.

Hence, the correct answer is option: 'D'.