Assume page directory entries $($PDE$)$ and page table entries $($PTE$)$ require $4$ bytes, the same space as page table entries $($PTEs$)$ in question #$4.$

The VPN bits are now broken down into PDI bits, and PTI bits. To simplify bit operations we leave everything in place and do not re$-$purpose bits even though the two$-$level page table scheme provides more unused bits at each level $($e$.$g$.$ PD$,$ PT$).$

Consider the answers from Questions $6$ and $7$ where you$$ve calculated the number of bits for the PDI and PTI.

How much total memory is required in bytes to index the HelloWorld.c program using a two$-$level page table when we only need to translate $4$ total pages?

HINT: We use one Page Directory entry $($PDE$)$ to point to a single Page Table $($PT$)$ that then maps just four page table entries $($PTEs$)($one for each of the pages$).$

HINT: Calculate the storage requirement for one page directory and one page table.

Answer with numbers only $($no letters$)$