1. Consider a pure paging system that uses 32 -bit addresses (each of which specifies one byte of memory), contains 128MB of man memory and has a page size of 8KB. a. How many pages frames does the system contains? b How many bits does the system use to maintain the displacement d? c How many bits does the system use to maintain the page number p ? 2. Consider a pure paging system that uses three levels of page tables and 64 bit addresses Each wrtual address is ihe ordered ser v=(p. m,t,d). where the ordered triple (p,m,t) is the page number and d is the displapernent in lo the pago. Each page table entry is 64 bis ( 8 bytes). The number of bits that store p is np, the number of bits that store m a mn ind the number of bits to store t is nt a Assume np=nm=nt=18 i. How large is the fable at each lever of the multilevel labe? 1i. What is the page size, in bytes? b. Assume np=nm=nt=14 1. How large the table at each level of the multilevel poge tabie? 5. What is the page size, in bytes? c. Discuss the trade-otl of large and small sizes