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:

• A. 4, 16
• B. 4, 12
• C. 8, 16
• D. 3, 16

Hint:

To calculate the number of pages and page frames, divide the logical and physical memory sizes by the page size.

Answer 1

The Correct Option is A

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**.