A system has a level 1 cache and a level 2 cache. The hit rate of the level 1 cache is 90% and the hit rate of the level 2 cache is 80%. An access to level 1 cache requires 1 cycle, an access to level 2 cache requires 4 cycles, and an access to main memory requires 50 cycles. What is the average access time?
What will be an ideal response?
Access time = hL1.tc1 + (1 ? hL1)[ hL2.tc2 +(1 ? hL2 )tm]
Access time = 0.90 × 1 + (1 ? 0.90)[0.80 × 4 + (1 ? 0.80) × 50] cycles
= 0.90 + 0.10 × [3.2 + 10] = 0.90 + 1.32 = 2.22 cycles
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