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1 March, 16:50

The processor in Q1 above is converted into an 8-stage pipeline, similar to the one discussed on slide 8 of lecture 16. It takes 125 ps to navigate the circuits in each stage. Assume that latches do not introduce a noticeable delay overhead. 1. What is the clock speed of this processor? 2. What is the CPI of this processor, assuming that every load/store instruction finds its instruction/data in the instruction or data cache, and there are no stalls from data/control/structural hazards? 3. What is the throughput of this processor (in billion instructions per second) ?

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  1. 1 March, 19:54
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    1000/125 billion instructions per second.

    Explanation:

    All the stages take 125ps and latch time was outlooked.

    The clock speed would be the highest stage time in all 5 stages. Here all are same clock speed it would be 125ps only.

    throughput = 1/cycle time so ⇒ 1/125 instructions/ps

    Since we want it in billion instructions per second so we have to multiply with 10⁻⁹ / 10⁻¹² then the result is 1000/125 billion instructions per second.
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