Cache and Virtual Memory Please help me with this question. =====================================

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4. 18 pts! Consider a paged virtual memory system with 48-bit virtual addresses and 32- Kbyte pages. Each page table entry requires 8 bytes. Each page table size is exactly one page (or 32K-byte). (a) [4 pts] How many levels of page tables are required and how many entries the page table uses at each level. (b) [4 pts]The smaller number of entries could be used at the top level or the bottom level of the page table hierarchy. Which strategy consumes the least number of pages? Explain your answer by calculating the numbers of pages for both scenarios