Consider the page table for a system with $12-$bit virtual and physical addresses and

$256-$byte pages.

The list of free page frames is $D,E,F($that is$,D$ is at the head of the list, $E$ is second, and

$F$ is last$).$ A dash for a page frame indicates that the page is not in memory.

Convert $($map$)$ the following virtual addresses to their equivalent physical addresses in

hexadecimal. All numbers are given in hexadecimal.

a$.9EF$

b$.111$

c$.700$

d$.0FF$