Question:

Details of a paging system for memory management are as follows:
Logical address space: 32 KB
Page Size: 4 KB
Physical Memory size: 64 KB
The number of pages in the logical address space and number of page frames in physical memory, respectively, are:

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To calculate the number of pages and page frames, divide the logical and physical memory sizes by the page size.
Updated On: Sep 25, 2025
  • 4, 16
  • 4, 12
  • 8, 16
  • 3, 16
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The Correct Option is A

Solution and Explanation


Step 1: Calculate the number of pages in logical address space.
The logical address space is 32 KB and the page size is 4 KB. The number of pages is: \[ \frac{32 \, \text{KB}}{4 \, \text{KB}} = 8 \, \text{pages}. \]

Step 2: Calculate the number of page frames in physical memory.
The physical memory size is 64 KB and the page size is 4 KB. The number of page frames is: \[ \frac{64 \, \text{KB}}{4 \, \text{KB}} = 16 \, \text{page frames}. \]

Step 3: Conclusion.
Thus, the number of pages in the logical address space is 8, and the number of page frames in physical memory is 16. Hence, the correct answer is **(3) 8, 16**.

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