$5.$ A system implements a paged virtual address space for each process. The maximum size of virtual address is

$16$MB and the physical memory size of the machine is $4$MB with $1024$byte page. The page table for the running process includes the following valid entries:

$22$x$220=222$

$210-10$ bitotsc

Page $2->$ page frame $4,$ Page $4->$ page frame $9,$ Page $1->$ page frame $2,$

Page $3->$ page frame $16,$ Page $0->$ page frame $1$

a$)$ To which physical address will the virtual address OxAF$4$

b$)$ Which virtual address will translate to physical address $0$x$4000?$