$+++++++++++++++++++++++++++++++++++++++++++++$

$++++++++++++++++++++++++++++++++$

$+++++++++++++++++++++++++++++++++++$

$++++++++++++++++++++++++++++++++-$

Consider a virtual memory system with $52-$bit virtual address, $30-$bit physical address, and $4$KB page size.

$($a$)$ If TLB is $4$way$-$set associative and TLB index is $<8>$ bits, what is the total size of the TLB $($tag plus data$)?($c$)$ What is the size of the physical memory space?

I have doubts regarding four way set associative for TLB$,$ so with regular cache system, the cache index decreases, cache tag increase, and the block offset remains. Is that the same case for TLB $?$ Please show your steps $,$ and don't copy from Chat$-$GPT

$-----------------------------------------------------$