Consider an instruction pipeline with four stages with the stage delays 5 nsec, 6 nsec, 11 nsec, and 8 nsec respectively. The delay of an inter-stage register stage of the pipeline is 1 nsec. What is the approximate speedup?Question 7Select one:a.0.25b.250c.25d.2.5
Question
Consider an instruction pipeline with four stages with the stage delays 5 nsec, 6 nsec, 11 nsec, and 8 nsec respectively. The delay of an inter-stage register stage of the pipeline is 1 nsec. What is the approximate speedup?Question 7Select one:a.0.25b.250c.25d.2.5
Solution 1
To calculate the speedup of a pipeline, we first need to determine the time it takes to execute an instruction without pipelining and the time it takes with pipelining.
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Without pipelining, the time to execute an instruction is simply the sum of the stage delays. So, we add up 5 nsec, 6 nsec, 11 nsec, and 8 nsec to get a total of 30 nsec.
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With pipelining, the time to execute an instruction is the maximum stage delay plus the delay of an inter-stage register. The maximum stage delay here is 11 nsec, and the inter-stage register delay is 1 nsec. So, the total is 12 nsec.
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The speedup is then calculated as the time without pipelining divided by the time with pipelining. So, we divide 30 nsec by 12 nsec to get a speedup of approximately 2.5.
So, the correct answer is d. 2.5.
Solution 2
To calculate the speedup
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