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GATE CSE 2025 Session 1 Q14: Page table entries for a 32-bit logical address

Question

Consider a demand paging memory management system with 32-bit logical address, 20-bit physical address, and page size of 2048 bytes. Assuming that the memory is byte addressable, what is the maximum number of entries in the page table?

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Answer: A (official GATE 2025 final answer key)

Concept used: A single-level page table has one entry per logical (virtual) page.

First step: Page size 2048=2112048 = 2^{11} bytes, so the logical address space has 232/2112^{32} / 2^{11} pages.

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Source: official GATE 2025 Session 1 CS question paper and final answer key, organised by IIT Roorkee. Question paper · Answer key

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