Consider $21$ bit VPN $0$x$000$E$3$C and page offset $0$x$22$A$.$ Assuming a $1$KB page size, $2$ byte page table entries, and $14$ bit Physical Page Numbers, answer the following: $($a$)$ What is the capacity of the virtual memory? $($b$)$ What is the capacity of the physical memory? $($c$)$ How many page table entries are there? $($d$)$ What is the byte address of the PTE corresponding to the above VPN if the contents of the page register is Ox$0002$F$4.$ How many bytes of RAM does the page table occupy?

Consider $21$ bit VPN $0$x$000$E$3$C and page offset $0$xx$22$A$.$ Assuming a $1$ KB page size, $2$ byte

page table entries, and $14$ bit Physical Page Numbers, answer the following:

$($a$)$ What is the capacity of the virtual memory?

$($b$)$ What is the capacity of the physical memory?

$($c$)$ How many page table entries are there?

$($d$)$ What is the byte address of the PTE corresponding to the above VPN if the

contents of the page register is Ox$0002$F$4.$ How many bytes of RAM does the

page table occupy?