a.
Explanation of Solution
Given,
The clock rate and the Cycles Per Instruction (CPI) of the processor P1 is 3 GHz and 1.5 respectively.
The clock rate and the CPI of the processor P2 is 2.5 GHz and 1.0 respectively.
The clock rate and the CPI of the processor P3 is 4 GHz and 2.2 respectively.
The performance of the processor in terms of instructions per second can be calculated using the following formula is given below:
Substitute, “
Thus, the performance of the processor P1 is
Substitute, “
Thus, the performance of the processor P1 is
Substitute, “
Thus, the performance of the processor P1 is
By comparing the above performances of the processors, it is concluded that the processor P1 is having highest performance.
b.
Explanation of Solution
Given,
The clock rate and the Cycles Per Instruction (CPI) of the processor P1 is 3 GHz and 1.5 respectively.
The clock rate and the CPI of the processor P2 is 2.5 GHz and 1.0 respectively.
The clock rate and the CPI of the processor P3 is 4 GHz and 2.2 respectively.
Time taken by each processor to execute the required program is 10 seconds.
The number of cycles of the processor per 10 seconds can be calculated using the following formula is given below:
Substitute, “
Thus, the number of cycles of the processor P1 per 10 seconds is
Substitute, “
Thus, the number of cycles of the processor P2 per 10 seconds is
Substitute, “
Thus, the number of cycles of the processor P3 per 10 seconds is
The number of instructions of the processor per 10 seconds can be calculated using the following formula is given below:
Substitute, “
Thus, the number of instructions of the processor P1 per 10 seconds is
Substitute, “
Thus, the number of instructions of the processor P2 per 10 seconds is
Substitute, “
Thus, the number of instructions of the processor P3 per 10 seconds is
c.
Explanation of Solution
Given,
The clock rate and the Cycles Per Instruction (CPI) of the processor P1 is 3 GHz and 1.5 respectively.
The clock rate and the CPI of the processor P2 is 2.5 GHz and 1.0 respectively.
The clock rate and the CPI of the processor P3 is 4 GHz and 2.2 respectively.
The number of instructions of the processor per 10 seconds can be calculated using the following formula is given below:
Substitute, “
Thus, the number of instructions of the processor P1 per 10 seconds is
Substitute, “
Thus, the number of instructions of the processor P2 per 10 seconds is
Substitute, “
Thus, the number of instructions of the processor P3 per 10 seconds is
The CPInew is calculated using the formula
Substitute, “1.5” for “CPIold” is given below:
Thus, the CPInew of the processor P1 is
Substitute, “1.0” for “CPIold” is given below:
Thus, the CPInew of the processor P2 is
Substitute, “4.0” for “CPIold” is given below:
Thus, the CPInew of the processor P3 is
The required clock rate cam be calculated using a function f and the required formula is as follows:
Substitute, “
Thus, the required function of the processor P1 is
Substitute, “
Thus, the required function of the processor P2 is
Substitute, “
Thus, the required function of the processor P3 is
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