The format of the PTE (page table entries) for a certain system that employs 32-

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The format of the PTE (page table entries) for a certain system that employs 32-bit virtual addresses and pages that are 8192 bytes in size is shown below:

Bit 23 - Valid Bit
Bit 22 - Modify Bit
Bits 21-18 - LRU Bits
Bits 17-0 - Frame Number

-What is the maximum amount of physical memory the system could contain?
-What would be the total size in bytes of the page map table?
-If an inverted page map table is used what would be its total size in bytes if the LRU field within each PTE is reduced to 3 bits?

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