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A computer system has a three level memory hierarchy, with access time and hit ratios as shown below:
 
A. What should be the minimum sizes of level 1 and 2 memories to achieve an average access time of less than 100 nsec
B. What is the average access time achieved using the chosen sizes of level 1 and level 2 memories?
Correct answer is 'The equation for access time can be written as follows (assuming a,b are the hit ratios of level1 and level2 respectively).'. Can you explain this answer?
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A computer system has a three level memory hierarchy, with access time...

Here
and  On substituting the a,b for the first case we get
T = 95ns for a = 0.8 and b = 0.995. i.e., L1 = 8M and L2 = 64M.
T = 75ns for a = 0.9 and b = 0.99. i.e., L1 = 16M and L2 = 4M
b.
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A computer system has a three level memory hierarchy, with access time and hit ratios as shown below:A. What should be the minimum sizes of level 1 and 2 memories to achieve an average access time of less than 100 nsecB. What is the average access time achieved using the chosen sizes of level 1 and level 2 memories?Correct answer is 'The equation for access time can be written as follows (assuming a,b are the hit ratios of level1 and level2 respectively).'. Can you explain this answer?
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