Consider a single-level cache with an access time of 2.5 ns, a line size of 64 bytes, and a hit ratio of H = 0.95. Main memory uses a block transfer capability that has a first-word (4 bytes) access time of 50 ns and an access time of 5 ns for each word thereafter.
a. What is the access time when there is a cache miss? Assume that the cache waits until the line has been fetched from main memory and then re-executes for a hit.
b. Suppose that increasing the line size to 128 bytes increases the H to 0.97. Does this reduce the average memory access time?