ISRO | ISRO CS 2018 | Question 13

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

(A) 12
(B) 25
(C) 38
(D) 44

Answer: (D)
Explanation: D4FE2003 = 1101 0100 1111 1110 0010 0000 0000 0011

Total bits = 32
Total bits which are occupied, i.e. with value 1 = 14
Percentage of occupied tracks = 14/32 * 100 = 43.75 = 44

So, option (D) is correct.
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