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If you have a storage device with a capacity of 16 gigabytes, then how many 32 kilobytes files can you fit in that device? (1KB = 1024 bytes)
Question



If you have a storage device with a capacity of 16 gigabytes, then how many 32 kilobytes files can you fit in that device? (1KB = 1024 bytes)

A.

2182^{18}​​

B.

2192^{19}​​

C.

2202^{20}​​

D.

2142^{14}​​

Correct option is B

1. 1 GB = 1024 MB and 1 MB = 1024 KB. So, 16 GB = 16 × 1024 × 1024 KB = 16,777,216 KB.
2. Each file is 32 KB. Therefore, the number of files that can fit is:
16,777,216 / 32 = 524,288 files
Converting 524,288 to a power of 2, we get 2192^{19}​, so 2192^{19}​ is the correct answer.
Information Booster:
1. Kilobytes (KB) and Gigabytes (GB) are units of digital storage, and the conversion factor between them is 1024, not 1000.
2. File sizes determine how much storage can be used effectively, and smaller files take up less space.

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