For the following questions, assume the following:

$64-$bit virtual addresses.

$$ sizeof$($int$)=4.$

$$ Page size of $4$ KB$.$

$128$ MB of physical memory with LRU page replacement policy.

$$ Fully associative TLB with $16$ entries and an LRU replacement policy.

$(1)(2$ points$)$ Given a virtual address, how many bits are needed for the Virtual Page Number and

Offset?

$(2)(2$ points$)$ Given a physical address, how many bits are needed for the Physical Page Number

and Offset?