The following is a page table for a system with $12-$bit virtual and physical addresses and

$256-$byte pages. Free page frames are to be allocated in the order $9,$ F$,$ D$.$ A dash for a

page frame indicates that the page is not in memory.

Convert the following virtual addresses to their equivalent physical addresses in

hexadecimal. All numbers are given in hexadecimal. In the case of a page fault, you must

use one of the free frames to update the page table and resolve the logical address to its

corresponding physical address. Use the FIFO algorithm for page replacement.

a$.02A1$

b$.04E6$

c$.0x94A$

d$.0316$

$"0x"$ in the above numbers denotes a hexadecimal number.