In a paging system, a process requires 7 KB of memory but is allocated one…

2024

In a paging system, a process requires 7 KB of memory but is allocated one full 8 KB page frame. What percentage of the allocated frame is lost to internal fragmentation?

Answer: A. 12.5%ConceptInternal fragmentation is the unused space inside an allocated fixed-size block. Its percentage is found by dividing the unused space by the allocated…

  1. A.

    12.5%

  2. B.

    25%

  3. C.

    50%

  4. D.

    75%

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Show answer & explanation

Correct answer: A

Concept

Internal fragmentation is the unused space inside an allocated fixed-size block. Its percentage is found by dividing the unused space by the allocated block size and multiplying by 100.

Application

  1. Allocated frame size = 8 KB; memory used by the process = 7 KB.

  2. Unused space = 8 KB − 7 KB = 1 KB.

  3. Internal fragmentation percentage = (1 KB ÷ 8 KB) × 100 = 12.5%.

Cross-check

12.5% of 8 KB is 1 KB, and 7 KB used + 1 KB unused reconstructs the full 8 KB frame.

Result

The internal fragmentation is 12.5% of the allocated frame.

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