I’m trying to understand how to calculate the entries and memory requirements for a 2-level page table in a 32-bit CPU architecture with the following specifications:

• Each second-level page table has 2048 entries.

• Page size is 2k bytes.

• Page table entry size is 20 bytes.

Questions:

1. How many entries are in the first-level page table?

2. What is the minimum memory required for the 2-level page table?

3. What is the maximum memory required for the 2-level page table?

Assumptions:

• 2 contiguous pages are needed for code and data, starting from virtual address 0.

• 3 pages are needed for the stack at the lowest virtual addresses.

Any help with understanding these calculations would be greatly appreciated!

I tried to calculate the number of entries in the first-level page table and the memory requirements for the 2-level page table using the given specifications. However, I am unsure about my calculations and would like to confirm if my approach is correct.

Here’s what I have done so far:

1. For the first-level page table entries, I attempted to use the number of bits required to index the second-level page table and the page size.

2. For the memory requirements, I tried to account for the page table entries and the page sizes needed for code, data, and the stack.

I expected to determine the exact number of entries in the first-level page table and the memory required for the page tables, but I am not confident in my results. I need guidance on the correct approach to these calculations.