Q$\mathrm{.}4)$

Consider a simple paging system with the following parameters:

$2^{48}$ bytes of physical memory

Page size of $2^{20}$ bytes

$2^{20}$ pages of logical address space

Also assume that each word in every page is $2$ bytes.

a$)$ How many bits are in a logical address space?

b$)$ How many bytes are in a frame?

c$)$ How many bits in the physical address specify the frame?

d$)$ How many entries are in the page table?

e$)$ How many bits are in each page table entry? Assume each page table entry contains $2$ additional bits to represent some other security conditions.