Assume a 3GHz processor executes three classes of instructions (A, B, C). i. Calculate the average CPI for this sequence of program. ii. Calculate the execution time for this sequence of program.
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Assume a 3GHz processor executes three classes of instructions
(A, B, C).
i. Calculate the average CPI for this sequence of
ii. Calculate the execution time for this sequence of program.
iii. If we use a system with four same processors, there will be
speed up by a factor of 4 for classes A and C, but class B will
remain unaffected. Calculate the new execution time for this
system. What is the overall speed up?
Class | A | B | C |
CPI for class | 4 | 2 | 10 |
IC in sequence | 100 | 200 | 300 |
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- Processor R is a 64-bit RISC processor with a 2 GHz clock rate. The average instruction requires one cycle to complete, assuming zero wait state memory accesses. Processor C is a CISC processor with a 1.8 GHz clock rate. The average simple instruction requires one cycle to complete, assuming zero wait state memory accesses. The average complex instruction requires two cycles to complete, assuming zero wait state memory accesses. Processor R can’t directly implement the complex processing instructions of Processor C. Executing an equivalent set of simple instructions requires an average of three cycles to complete, assuming zero wait state memory accesses. Program S contains nothing but simple instructions. Program C executes 70% simple instructions and 30% complex instructions. Which processor will execute program S more quickly? Which processor will execute program C more quickly? At what percentage of complex instructions will the performance of the two processors be equal?Let's assume that there are three processors, Pa, Pb, and Pc, like below. You can assume 1-way superscalar, no hyper-threading, and no pipelined for all processors. Pa: 4 GHz clock rate, CPI: 2.2 Pb: 3 GHz clock rate, CPI: 1.5 Pc: 2.5GHz clock rate, CPI: 1.05.1. Show each processors' performance in terms of instruction per second.In this problem, you will explore processor frequency in the context of the speed of light.Suppose you have overclocked a processor to 8,722.78MHz. This processor can execute one instruction per cycle. Further let us suppose that the system is accessing a magnetic disk (HD) with an access time of 11ms. 1. Suppose that you are designing the machine architecture and want to guarantee the CPU can obtain data from memory within 4 CPU cycles. Given that the address has to travel from the CPU to the memory unit (MMU) and that the data has to travel from memory to the CPU, what is the maximum distance between CPU and the MMU if the signal on the memory bus propagates at 75% of the speed of light?
- Question: Suppose a program of 600 instructions runs on a 2 GHz processor. The frequency of instructions and the clock cycle counts per instruction are given as follows. What is the average CPI of this instruction mix? Operation Frequency Clock Cycles ALU operations 55% 1 Loads/Stores 30% 2 Branches 15% 3 Question: Continue from the previous question. What is the CPU time of the program in nanoseconds? Question: Suppose a processor P has a 2.5 GHz clock rate and a CPI of 1.5. If the processor executes a program in 3 microseconds, find the number of instructions in the program.Q: Consider three different processors P1, P2, and P3 that support the same instruction set. P1 has a 3 GHz clock rate and a CPI of 1.5. P2 has a 2.5 GHz clock rate and a CPI of 1.0. P3 has a 4.0 GHz clock rate and has a CPI of 2.2. (a) Which processor has the highest performance expressed in instructions per second? Show your calculations. (b) If the processors each execute a program in 10 seconds, find the number of cycles and the number of instructions for each processor. (c) We are trying to reduce the execution time by 30% (i.e., execution time is reduced from 10 seconds to 7 seconds). However, this leads to an increase of 20% in the CPI. For each processor, what clock rate should we have to get this time reduction? (Show the calculations you did to answer this question.)Consider three different processors P1, P2, and P3 executing the same instruction set. P1 has a 3.1 GHz clock rate and a CPI (cycles per instruction) of 1.6. P2 has a 2.4 GHz clock rate and a CPI of 1.2. P3 has a 4.0 GHz clock rate and has a CPI of 2.0 If you could answer these id appreciate that greatly. a.Which processor has the highest performance expressed in instructions per second? b.If the processors each execute a program in 10 seconds, find the number of cycles and the number of instructions. c.We are trying to reduce the execution time by 30% but this leads to an increase of 20% in the CPI. What clock rate should we have to get this time reduction?
- ) We examine how pipelining affects the clock cycle time of the processor. Problems in this exercise assume that individual stages of the datapath have the following latencies: IF ID EX MEM WB 200 ps 300 ps 150 ps 250 ps 200 ps Also, assume that instructions executed by the processor are broken down as follows: alu (i.e. add, sub,…) beq lw sw 45 % 20 % 20 % 15% a.) What is the clock cycle time in a pipelined and non-pipelined processor? b.) What is the total latency of seven LW instructions in a pipelined and non-pipelined processor (assume no stalls or hazards) c.) Assuming there are no stalls or hazards, what is the utilization of the data memory? (Hint) R-type instruction: IF ID EX MEM WB: no data memory access required beq: no data memory access required lw: IF ID EX MEM WB: data memory access required sw: IF ID EX MEM WB: data memory access required % of lw + % of sw = ?5. Consider three different processors P1, P2, and P3 executing the sameinstruction set. P1 has a 3 GHz clock rate and a CPI of 1.5. P2 has a 2.5 GHzclock rate and a CPI of 1.0. P3 has a 4.0 GHz clock rate and has a CPI of 2.2.Which processor has the highest performance expressed in instructions persecond?In this problem, you will explore processor frequency in the context of the speed of light. Suppose you have overclocked a processor to 8,722.78MHz. This processor can execute one instruction per cycle. Further let us suppose that the system is accessing a magnetic disk (HD) with an access time of 11ms. 1. Determine the number of instructions the CPU must pause when waiting for a read request for data from the HD to complete. 2. Suppose that you are designing the machine architecture and want to guarantee the CPU can obtain data from memory within 4 CPU cycles. Given that the address has to travel from the CPU to the memory unit (MMU) and that the data has to travel from memory to the CPU, what is the maximum distance between CPU and the MMU if the signal on the memory bus propagates at 75% of the speed of light?
- . Consider a system that has multiple processors where eachprocessor has its own cache, but main memory is shared among allprocessors.1. a) Which cache write policy would you use?2. b) The cache coherency problem. With regard to the systemjust described, what problems are caused if a processor has acopy of memory block A in its cache and a second processor,also having a copy of A in its cache, then updates mainmemory block A? Can you think of a way (perhaps morethan one) of preventing this situation, or lessening itseffects?Let's say that the number of cores that are included on each new generation of central processing units (CPUs) increases by a factor of two every 18 months. How much more off-chip memory bandwidth will be needed for a CPU that is launched in three years if the per-core performance is to remain the same?Consider three different processors P1, P2, and P3 executing the same instructionset. P1 has a 3GHz clock rate and a CPI of 1.5. P2 has a 2.5GHz clock rate and a CPI of 1.0, P3has a 4GHz and a CPI of 2.5.a) Which processor has the highest performance expressed in instructions per second?b) If the processors each execute a program in 5 seconds, find the number of cycles and thenumber of instructions.c) We are trying to reduce the execution time by 20% but this leads to an increase of 15% inthe CPI. What clock rate should we have to get this time reduction?