Q3 (60 points) In this question, we examine how resource hazards, control hazards, and Instruction Set Architecture (ISA) design can affect pipelined execution. Problems in this exercise refer to the following fragment of MIPS code: lw r16, 8(r6) lw r17, 4(r6) sub r5, r16,r17 beq r5, 4,1 label \# assume the two registers here are not equal sub r5, r1, r4 add r5, r5, r6 slt r5, r15, r4 Assume that individual pipeline stages have the following latencies: a. (10 points) For this problem, assume that all branches are perfectly predicted (this eliminates all control hazards) and that no delay slots are used. If we only have one memory (for both instructions and data), there is a structural hazard every time we need to fetch an instruction in the same cycle in which another instruction accesses data. To guarantee forward progress, this hazard must always be resolved in favor of the instruction that accesses data. What is the total execution time (in cycles) of this instruction sequence in the 5 -stage pipeline that only has one memory? We have seen that data hazards can be eliminated by adding nops to the code. Can you do the same with this structural hazard? Why? b. (10 points) For this problem, assume that all branches are perfectly predicted (this eliminates all control hazards) and that no delay slots are used. If we change load/store instructions to use a register (without an offset) as the address, these instructions no longer need to use the ALU. As a result, MEM and EX stages can be overlapped and the pipeline has only 4 stages. Change this code to accommodate this changed ISA. Assuming this change does not affect clock cycle time, what speedup is achieved in this instruction sequence? c. (10 points) Assuming stall-on-branch and no delay slots, what speedup is achieved on this code if branch outcomes are determined in the ID stage, relative to the execution where branch outcomes are determined in the EX-stage? d. (10 points) Given these pipeline stage latencies, repeat the speedup calculation from (b), but take into account the (possible) change in clock cycle time. When EX and MEM are done in a single stage, most of their work can be done in parallel. As a result, the resulting EX/MEM stage has a latency that is the larger of the original two, plus 20 ps needed for the work that could not be done in parallel. e. (10 points) Assume that the latency of the ID stage increases by 70% and the latency of the EX-stage decreases by 15% when branch outcome resolution is moved from EX to ID. Given these pipeline stage latencies, repeat the speedup calculation from (c), taking into account the (possible) change in clock cycle time. f. (10 points) Assuming stall-on-branch and no delay slots, what is the new clock cycle time and execution time of this instruction sequence if beq address computation is moved to the MEM stage? What is the speedup from this change? Assume that the latency of the EX-stage is reduced by 40 ps and the latency of the MEM stage is unchanged when branch outcome resolution is moved from EX to MEM. Q3 (60 points) In this question, we examine how resource hazards, control hazards, and Instruction Set Architecture (ISA) design can affect pipelined execution. Problems in this exercise refer to the following fragment of MIPS code: lw r16, 8(r6) lw r17, 4(r6) sub r5, r16,r17 beq r5, 4,1 label \# assume the two registers here are not equal sub r5, r1, r4 add r5, r5, r6 slt r5, r15, r4 Assume that individual pipeline stages have the following latencies: a. (10 points) For this problem, assume that all branches are perfectly predicted (this eliminates all control hazards) and that no delay slots are used. If we only have one memory (for both instructions and data), there is a structural hazard every time we need to fetch an instruction in the same cycle in which another instruction accesses data. To guarantee forward progress, this hazard must always be resolved in favor of the instruction that accesses data. What is the total execution time (in cycles) of this instruction sequence in the 5 -stage pipeline that only has one memory? We have seen that data hazards can be eliminated by adding nops to the code. Can you do the same with this structural hazard? Why? b. (10 points) For this problem, assume that all branches are perfectly predicted (this eliminates all control hazards) and that no delay slots are used. If we change load/store instructions to use a register (without an offset) as the address, these instructions no longer need to use the ALU. As a result, MEM and EX stages can be overlapped and the pipeline has only 4 stages. Change this code to accommodate this changed ISA. Assuming this change does not affect clock cycle time, what speedup is achieved in this instruction sequence? c. (10 points) Assuming stall-on-branch and no delay slots, what speedup is achieved on this code if branch outcomes are determined in the ID stage, relative to the execution where branch outcomes are determined in the EX-stage? d. (10 points) Given these pipeline stage latencies, repeat the speedup calculation from (b), but take into account the (possible) change in clock cycle time. When EX and MEM are done in a single stage, most of their work can be done in parallel. As a result, the resulting EX/MEM stage has a latency that is the larger of the original two, plus 20 ps needed for the work that could not be done in parallel. e. (10 points) Assume that the latency of the ID stage increases by 70% and the latency of the EX-stage decreases by 15% when branch outcome resolution is moved from EX to ID. Given these pipeline stage latencies, repeat the speedup calculation from (c), taking into account the (possible) change in clock cycle time. f. (10 points) Assuming stall-on-branch and no delay slots, what is the new clock cycle time and execution time of this instruction sequence if beq address computation is moved to the MEM stage? What is the speedup from this change? Assume that the latency of the EX-stage is reduced by 40 ps and the latency of the MEM stage is unchanged when branch outcome resolution is moved from EX to MEM