) Inverted Page tables. Assume a virtual address machine with a 64 bit address. Assume a page is 64K bytes long, indexed by the lowest 16 bits. Assume the system used inverted page tables because of the large size of the address.

(2 points) How many bits of the address are used to hash into the inverted page table

(2 points) Assume the machine has 16 GB of memory available. How big is the inverted page table size, in bytes, assuming each entry is 128 bits which includes 64 address bits and 64 control bits Do not include any linked lists that might be necessary for resolving collisions.

(6 points) how many bits of the address are used for the comparison operation used to disambiguate addresses that map into the same page table entry.

(5 points) What is the minimum number of physical pages that might be mapped into the first page table entry. Explain your answer.

(5 points) What is the maximum number of virtual pages that might be mapped into the first page table entry. Explain your answer.