Practice Question
Duration: 2 min
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The video presents a multiple-choice question comparing the execution time of a single instruction on pipelined versus non-pipelined processors. The instructor analyzes a specific pipeline diagram with five stages (S1 to S5) and associated timing values. He explains that while pipelining increases throughput, the latency for a single instruction (T1) is generally greater than or equal to the time taken on a non-pipelined processor (T2) due to the overhead of latches and pipeline registers. T1 includes stage delays plus overhead, whereas T2 is just stage delays. The instructor guides the viewer to select the correct inequality relationship between T1 and T2. This comparison highlights the fundamental difference in how these processors handle instruction execution.
Chapters
0:00 – 1:55 00:00-01:55
The instructor introduces a problem statement displayed on the slide: 'Consider the time T1 is taken for a single instruction on a pipelined processor and time T2 is taken for a single instruction on a non-pipeline processor?' He points to the options: a) T1 = T2, b) T1 <= T2, c) T1 >= T2, and d) NONE. He then focuses on a hand-drawn diagram illustrating a 5-stage pipeline. The diagram shows stages S1 through S5 with specific execution times: 10ns, 12ns, 13ns, 11ns, and 14ns. Between each stage, there are vertical bars representing pipeline registers or latches, each contributing a 1ns delay. The instructor circles these latch times to emphasize their contribution to the total latency. He explains T1 sums stage times plus latch overhead, while T2 sums only stage times. Since T1 includes the additional latch overheads, T1 will be greater than T2. He marks option (c) T1 >= T2 as the correct answer, noting that T1 > T2 due to the overhead, making the 'greater than or equal to' relationship valid. The visual representation clearly shows the sequential nature of the pipeline stages.
The lesson demonstrates the trade-off between throughput and latency. Pipelining increases throughput but introduces overheads in the form of pipeline registers. For a single instruction, this overhead means the latency (T1) is strictly higher than the latency on a non-pipelined processor (T2). The instructor uses a concrete numerical example with stage times of 10ns to 14ns and 1ns latch overheads to prove that T1 > T2. This reinforces the theoretical concept that pipelining is beneficial for a stream of instructions but not for a single isolated instruction. Understanding this distinction is crucial for computer architecture design.