Please help me to solve this problem $,,$ Instructions:

a$)$ You need to show your work.

b$)$ If you assume something, you need to state that.

Problem $1$: Virtual Memory

Consider a virtual memory system with the following properties:

$40-$bit virtual address

$32-$bit physical address

$32$ KB page size

$4-$way associative TLB with $32$ entries and LRU replacement policy

a$)$ How many bits are used for TLB tag and index, respectively?

b$)$ What is the size of the page table for a process on this system assuming all virtual pages are in use