CSCI370 Computer Architecture: Homework 1

Due date: On or before Tuesday, February 17, 2026 Absolutely no copying others’ works

Name: ______________________

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• Without practicing for the exams properly, students will not be able to do well on the exams.

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1. (55% total) Consider two different implementations of the same instruction set architecture. The instructions can be divided into three classes according to their CPI (class A, B, and C). The clock rate and CPI of each implementation are given in the following table:
   
   

   	Clock rate	CPI Class A	CPI Class B	CPI Class C
   P1	2.5 GHz	2	2	3
   P2	3.0 GHz	2	3	3

   
   
   1. (25%) Given a program with a dynamic instruction count of 10⁵ instructions divided into classes as follows: 40% class A, 30% class B, and 30% Class C, which implementation is faster?
      ^†Hint: You have to find the execution times.
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   2. (15%) What is the global CPI for each implementation?
      ^†Hint: global CPI = execution time × clock rate ÷ number of instructions, where the execution time can be found from the solution of the previous question.
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   3. (15%) Find the clock cycles required in both cases.
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2. (15%) The Pentium 4 Prescott processor, released in 2004, had a clock rate of 3.0 GHz and voltage of 2.0 V. Assume that, on average, it consumed 15 W of static power and 60 W of dynamic power. Find the average capacitive load.
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   Capacitive load ≅









3. (30% total) The following table shows manufacturing data of a processor:
   
   

   Wafer diameter	Dies per wafer	Defects per unit area	Cost per wafer	# of critical steps
   20 cm	80	0.04 defects/cm2	40	2

   
   
   1. (10%) Find the yield.
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   2. (10%) Find the cost per die.
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   3. (10%) If the number of dies per wafer is increased by 5% and the defects per area unit increase by 10%, find the die area and yield.
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