GATE | GATE-CS-2014-(Set-3) | Question 65
The memory access time is 1 nanosecond for a read operation with a hit in cache, 5 nanoseconds for a read operation with a miss in cache, 2 nanoseconds for a write operation with a hit in cache and 10 nanoseconds for a write operation with a miss in cache. Execution of a sequence of instructions involves 100 instruction fetch operations, 60 memory operand read operations and 40 memory operand write operations. The cache hit-ratio is 0.9. The average memory access time (in nanoseconds) in executing the sequence of instructions is __________.
The question is to find the time taken for, "100 fetch operation and 60 operand red operations and 40 memory operand write operations"/"total number of instructions". Total number of instructions= 100+60+40 =200 Time taken for 100 fetch operations(fetch =read) = 100*((0.9*1)+(0.1*5)) // 1 corresponds to time taken for read // when there is cache hit = 140 ns //0.9 is cache hit rate Time taken for 60 read operations = 60*((0.9*1)+(0.1*5)) = 84ns Time taken for 40 write operations = 40*((0.9*2)+(0.1*10)) = 112 ns // Here 2 and 10 the time taken for write when there is cache // hit and no cahce hit respectively So,the total time taken for 200 operations is = 140+84+112 = 336ns Average time taken = time taken per operation = 336/200 = 1.68 ns
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