Most hard drives are divided into sectors of 512 bytes each. Our disk has a size of 16 GB. Calculate how many sectors the disk has.

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Math Kinsley 3 months 2022-02-17T21:35:02+00:00 2022-02-17T21:35:02+00:00 1 Answer 0 views 0

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Jade · Answer 1 · 2022-02-17T21:36:17+00:00

Answer:

33,554,432 sectors

Step-by-step explanation:

-We first convert both sizes to a uniform measure(both to be in bytes or gigabytes).

-We convert the drive size into Bytes:

[tex]1GB=1,073,741,824 \ Bytes\\\\\therefore 16GB=16\times1,073,741,824=1.717986918\times10^{10}\ Bytes[/tex]

#We then divide the Drive size by the sector size to get the number of sectors.

-Let X be the number of sectors:

[tex]X=\frac{Drive \ Size}{Sector \ Size}\\\\=\frac{1.717986918\times10^{10}}{512}\\\\=33,554,432[/tex]

Hence, the disk has 33,554,432 sectors.