6. a. The following figure shows a probability tree diagram for conditional branching without branch prediction. Instruction $P_b = 0.2$ $1 - P_b = 0.8$ Branch $P_t = 0.7$ $1 - P_t = 0.3$ Non-branch (1 cyble) Taken (1+3 = 4 cycles) Not taken (1cycle) a1) Compute the average number of cycles per branch instruction (you have to provide the math expression with the above numbers, you don't have to work out the final result) (2 points) a2) Compute the average number of clock cycles per instruction (you have to provide the math expression with the above numbers, you don't have to work out the final result). (4 points)
Added by Stephen R.
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In this case, the total number of cycles taken by branch instructions is 134 cycles, and the total number of branch instructions is 1. So the math expression to compute the average number of cycles per branch instruction is: Average number of cycles per branch Show more…
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Consider the following sequence of instructions: ADD $R_{1}, R_{2} \quad R_{1} \leftarrow R_{1}+R_{2}$ $\begin{array}{ll}\text { BEZ Target } & \text { Branch if Zero }\end{array}$ MUL $R_{3}, R_{4} \quad R_{3} \leftarrow R_{3} * R_{4}$ MOVE $R_{1}, 10 \quad R_{1} \leftarrow 10$ Target: Assume that this program executed on a 6-stage pipelined processor and each stage required 1 clock cycle. Let us suppose that "branch not taken" Prediction is used but the prediction is not fulfilled, then the penalty will be (branch outcome is known at $5^{\text {th }}$ stage) (A) 1 clock cycle (B) 2 clock cycles (C) 3 clock cycles (D) 4 clock cycles
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The Markov Chain with states labelled 1, 2, 3 and 4 has the following one-step transition matrix P = (1/4 1/4 1/4 1/4; 0 1 0 0; 1/4 0 1/2 1/4; 0 0 0 1) (a) Rewrite P into the canonical form and classify the states. (b) Calculate lim n->infinity P^n. (c) Calculate eventual transition probabilities f11 and f22. (d) Calculate eventual transition probabilities f32 and f34. (e) Calculate E[N3], the average amount of time the chain spends in state 3.
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Based on Chapter 7 # 21 Show your work! Yes/No answers without any explanations will not get any credits. a. Draw the relevance diagram corresponding to the tree below. b. Reorder the distinctions so that they are in the order C, A, B. Calculate all of the relevant probabilities to complete the tree. c. Are events A and B possibly relevant to one another given &? d. Are C and A possibly relevant to one another given &?
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