Given a 32 bit address space and 32 GB of physical memory, answer the following questions:

1. How many 4K pages of virtual memory exist?

2. How many 4K pages of physical memory are present?

3. How many bits required for the page offset?

4. How many bits required for the page number in the page table?

5. What is the maximum amount of memory that could be required to hold the page table for a single process? (Include valid, dirty, protection bits)

6. If we had two protection bits and a use bit for a total of 5 extra bits, what is the maximum amount of memory required to hold the page table?

7. Suppose we add a TLB that can hold 512 entries. How many bits required for each entry?