For each configuration $($a$-$c$),$ state how many bits are needed for from Virtual Address each of the following:

Physical address

Page Offset

Virtual page number $($VPN$)$

Physical page number $($PPN$)$

a$.32-$bit Virtual Address, $4-$KiB pages, $30-$bit Physical Address $(4$pts$)$

b$.32-$bit Virtual Address, $16-$KiB pages, $4$ GiB of Physical address space

c$.64-$bit Virtual Address,$16-$KiB pages, $16$ GiB of Physical address space