Consider a paging system with the page table stored in memory.
a. If a memory reference takes 50 nanoseconds, how long does a paged memory reference take ?
b. If we add $TLBs$, and 75 percent of all page-table references are found in the $TLBs$, what is the effective memory reference time ? (Assume that finding a page-table entry in the $TLBs$ takes 2 nanoseconds, if the entry is present.)