QQuestionArchitecture
QuestionArchitecture
"How is the average CPI (Cycles Per Instruction) calculated in computer architecture?
A. Sum of CPI of individual instructions divided by the number of instructions
B. Multiplication of CPI and number of instructions executed
C. Division of total execution time by the number of instructions
D. Subtraction of CPI from the number of instructions executed"
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Concept of CPI
CPI (Cycles Per Instruction) represents the average number of clock cycles required to execute a single instruction in a computer processor. To calculate the average CPI, we need to consider the CPI of individual instruction types and their frequency of execution.
Step 3:: Identify the Correct Calculation Method
\text{Average CPI} = \frac{\sum_{i=1}^{n} (CPI_{i} \times \text{Instruction Count}_{i})}{\text{Total Number of Instructions}}
The correct method for calculating average CPI is to sum the CPI of individual instructions and divide by the total number of instructions executed. Mathematically, this can be expressed as:
Step 4:: Analyze the Given Options
- D: $$\text{Number of Instructions} - CPI$$ ✗ Incorrect
Let's evaluate each option:
Step 5:: Explanation of the Correct Method
The average CPI calculation involves:
Step 6:
Multiplying each instruction type's CPI by its frequency
Step 7:
Summing these products
Step 8:
Dividing by the total number of instructions
Final Answer
Option A is the correct method for calculating the average Cycles Per Instruction (CPI) in computer architecture.
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