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On a system the average process size be 128 KB and each page entry requires 8 bytes then what will be the optimal page size.
  • a)
    1024 bytes
  • b)
    1448 bytes
  • c)
    512 bytes
  • d)
    2048 bytes
Correct answer is option 'B'. Can you explain this answer?
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On a system the average process size be 128 KB and each page entry req...

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On a system the average process size be 128 KB and each page entry req...
Explanation:

Page Size: The page size is the fixed size of data used by the operating system for memory management. The optimal page size is the size of the page that minimizes the page fault rate and maximizes the system performance.

Given data:
Average Process Size = 128 KB
Page Entry Size = 8 bytes

Formula used:
Optimal Page Size = Square Root of (2 x Average Process Size x Page Entry Size)

Calculation:
Optimal Page Size = Square Root of (2 x 128 KB x 8 bytes)
Optimal Page Size = Square Root of (2 x 1048576 x 8)
Optimal Page Size = Square Root of 16777216
Optimal Page Size = 4096 bytes

Therefore, the optimal page size is 4096 bytes or 4 KB.

Option B is the closest to 4 KB, with a page size of 1448 bytes. However, this is not the optimal page size.
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On a system the average process size be 128 KB and each page entry requires 8 bytes then what will be the optimal page size.a)1024 bytesb)1448 bytesc)512 bytesd)2048 bytesCorrect answer is option 'B'. Can you explain this answer?
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