You are implementing a small internet enabled device that uses $16-$bit logical addresses, $256$ Byte pages

a$)$ What is the maximum memory that this device can support

b$)$ If a conventional single$-$level page table is used, how many page table entries are there?

c$)$ If a two$-$level page table is used with an a outer page table of $4$ entries, how many page table entries are there for the inner table?

d$)$ If using conventional single$-$level page table, what would be the page index number and the page offset for the virtual memory address $0$x$4854?$ Answer in decimal or in hexadecimal notation.

Page index:

Page offset: