Suppose a computer system has a memory organization with only two levels of hierarchy, a cache and the main memory.

a. What is the average memory access time (AMAT) given the access times and miss rates given table1?

b. What would be the average memory access time (AMAT), if another level of cache is added with access time of 10 ns and miss rate of 1%?

c. What would be the average memory access time (AMAT), if one more level of cache is added with access time of 20 ns and miss rate of 0.1%?

Memory level Access time (ns)Miss rate Cache Main memory 10% 0% 100 Table1