Pipeline Performance: 15% Bubbles, 10% 2 Bubbles, 5% 4 Bubbles - ANY HELP?

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The discussion centers on a 10-stage instruction pipeline operating at a clock rate of 1 GHz, with a specific data forwarding scheme affecting instruction throughput due to the insertion of bubbles. For 15% of instructions, one bubble is added; for 10%, two bubbles; and for 5%, four bubbles. The equivalent single-cycle implementation operates at a significantly lower clock rate of 150 MHz. To determine the reduction in pipeline throughput caused by the bubbles, one must calculate the effective throughput considering the additional cycles introduced by the bubbles. The speedup of the pipelined implementation compared to the single-cycle implementation can be assessed by comparing the effective throughput of the pipelined design against the single-cycle rate. The conversation emphasizes the importance of attempting to solve the problem independently before seeking assistance, highlighting a common expectation in academic and technical forums.
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can anybody help me with this question?


A 10 stage instruction pipeline runs at a clock rate of 1GHz. The data forwarding scheme and the instruction mix are such that for 15% of instructions one bubble, for 10% two bubbles, and for 5% four bubbles must be inserted in the pipelin. The equivalent single-cycle implementation would lead to a clock rate of 150 MHz.

a. what is the reduction in pipeline throughput over the ideal pipeline as a result of bubbles?

b. what is the speedup of the pipelined implementation over the single cycle implementation??

ANY HELP OR POINTERS WILL BE GREATLY APPRECIATED!
 
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