b$)$ Consider a $3-$level memory system having a cache memory, main memory, and virtual

memory. Given that the average access time of the memory system is $8\mathrm{.}01395$mu s and the hit

rate and access time of each memory level is shown in Table $1,$ what is the access time of the

virtual memory?

$[5$ marks$]$

c$)$ By using the table shown in $($b$)$ and the access time of the virtual memory calculated in $($b$),$

write a short program to study the impact on the average access time of the memory system

for varying cache, main memory and virtual memory hit rates. List down any assumptions

you make in your study and clearly explain your findings using appropriate graphs and

diagrams. You can use any programming language to answer this question.

$[$I need help with solving all of question c$)$ please. I am also not sure which programming language to use $-$ stack$-$based architecture, general$-$purpose architecture or C$++.]$