Consider a cache (Ml) and memory (M2) hierarchy with the following characteristics: Ml: 16K words, 50 ns access time M2: 1M words, 400 ns access time Assume eight-word cache blocks and a set size of 256 words with set-associative mapping.

(a) Show the mapping between M2 and Ml.

(b) Calculate the effective memory-access time with a cache hit ratio of h = 0.95.