Problem $3[45$ pts$]$: Suppose a byte$-$addressable memory with $4$ frames of size $32$ bytes each and a paged virtual memory using a three$-$entry TLB$.$ Suppose a process $P$ has $10$ pages of virtual memory space. Assume the following TLB and page table for process $P$

$\backslash$table$[[7,2],[6,0],[9,1],[$TLB$]]$

$\backslash$table$[[0,6,0],[1,4,0],[2,3,1],[3,1,0],[4,3,0],[5,1,0],[6,0,1],[7,2,1],[8,7,0],[,1,1]]$

a$.[15$ pts$]$ Assume virtual address $0$x$03$A$.$ Does it result in a TLB hit or miss? If TLB hit, what's the main memory frame? If TLB miss, would it result in a page fault? If not a page fault, what's the main memory frame and what the physical address in binary? Explain your answers.

b$.[15$ pts$]$ Virtual address $013B$ results in a TLB hit or miss? If TLB hit, what's the main memory frame? If TLB miss, would it result in a page fault? If not a page fault, what's the main memory frame and what the physical address in binary? Explain your answers.

c$.[15$ pts$]$ Assume virtual address $0$x$04$F$.$ Does it result in a TLB hit or miss? If TLB hit, what's the main memory frame? If TLB miss, would it result in a page fault? If not a page fault, what's the main memory frame? Explain your answers.