There are several parameters that impact the overall size of the page table. Listed below are key page table parameters.

1. Given the parameters shown above, calculate the total page table size for a system running 5 applications that utilize half of the memory available.

2. Given the parameters shown above, calculate the total page table size for a system running 5 applications that utilize half of the virtual memory available, given a two level page table approach with up to 256 entries at the first level. Assume each entry of the main page table is 6 bytes. Calculate the minimum and maximum amount of memory required for this page table.

3. A cache designer wants to increase the size of a 4 KiB virtually indexed, physically tagged cache. Given the page size shown above, is it possible to make a 16 KiB direct-mapped cache, assuming 2 64- bit words per block? How would the designer increase the data size of the cache?

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Virtual Address Size 32 bits Page Size 8 KB Page Table Entry Size 4 bytes