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If you have a storage device with a capacity of 16 gigabytes, how many 2 kilobyte…

Paper 1 · ICT UGC NET December 2021 June 2022 (23.09.2022) Shift-II
If you have a storage device with a capacity of 16 gigabytes, how many 2 kilobyte files can you fit in that device, given that 1 KB equals 1024 bytes?
A2 to the power 23 ✓ Correct
B2 to the power 25
C2 to the power 27
D2 to the power 29
Correct answer: (A) 2 to the power 23 — The answer is 2 to the power 23.
Explanation
The answer is 2 to the power 23.
16 gigabytes is 16 times 1024 megabytes, which is 16 times 1024 times 1024 kilobytes.
That equals 16777216 kilobytes in total.
Each file is 2 kilobytes, so the number of files is 16777216 divided by 2.
That is 8388608, which equals 2 to the power 23.
So the device can hold 2 to the power 23 such files.
So the answer is 2 to the power 23.

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