ISRO2018-50

Question

A particular disk unit uses a bit string to record the occupancy or vacancy of its tracks, with $0$ denoting vacant and $1$ for occupied. A $32$-$bit$ segment of this string has hexadecimal value D4FE2003. The percentage of occupied tracks for the corresponding part of the disk, to the nearest percentage is:

1. $12$
2. $25$
3. $38$
4. $44$

Answer 1

Bit String: $D4FE2003: 1101\  0100\  1111 \ 1110\  0010 \ 0000 \ 0000 \ 0011$

Number of vacant tracks: 18

Number of occupied tracks:14

Percentage occupied tracks: $\frac{14}{32}*100=43.75 \% \simeq44\% $

Option d) is correct