GATE CS 2014 Set 1 — Question 65
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Computer Organization & Architecture
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Question
Consider two processors and executing the same instruction set. Assume that under identical conditions, for the same input, a program running on takes 25% less time but incurs 20% more CPI (clock cycles per instruction) as compared to the program running on . If the clock frequency of is 1GHz, then the clock frequency of (in GHz) is _________.
Correct answer
1.6 to 1.6
Solution
Let be the number of instructions (same for both processors since the instruction set and program are the same).
Let and be the Cycles Per Instruction for and respectively.
Let and be the clock frequencies of and respectively.
Let and be the execution times on and respectively.Given:
Let and be the Cycles Per Instruction for and respectively.
Let and be the clock frequencies of and respectively.
Let and be the execution times on and respectively.Given:
1. takes 25% less time than :
2. incurs 20% more CPI than :
3.Frequency of ,
The execution time equation is given by:For processor :For processor :Substitute the known relations into the equation for :Now substitute into the left side:Cancel common terms and from both sides:Rearrange to solve for :Substitute :Continue learning with Success Tracker
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