Paper 1 · ICT
UGC NET December 2021 June 2022 (11.07.2022) Shift-II
If you have a storage device with a capacity of 16 gigabytes, how many 32 kilobyte files can you fit in that device? (1 KB = 1024 bytes)
A2^18
B2^19 ✓ Correct
C2^20
D2^14
Correct answer: (B) 2^19 — The device holds 2 to the power 19 such files, so option B is correct.
Explanation
★The device holds 2 to the power 19 such files, so option B is correct.
★16 gigabytes equals 2 to the power 4 times 2 to the power 30 bytes, which is 2 to the power 34 bytes.
★32 kilobytes equals 2 to the power 5 times 2 to the power 10 bytes, which is 2 to the power 15 bytes.
★The number of files is the total capacity divided by the file size.
★Dividing 2 to the power 34 by 2 to the power 15 subtracts the exponents.
★This gives 2 to the power 19 files.
★Working in powers of two keeps such storage calculations clean and error free.
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