3.) [10 points] (Exercise 5.12) In this exercise, we will examine space/time optimizations for page tables. The following list provides parameters of a virtual memory system Physical DRAM Installed PTE Size (byte) Virtual Address (bits) Page Size 43 16 GIB 4 KiB 4 a.) [10 points] For a single-level page table, how many page table entries (PTEs) are needed? How much physical memory is needed for storing the page table