What is the geometric mean of the values 4, 2, 4, 82? Suppose a computer spends

Question

What is the geometric mean of the values 4, 2, 4, 82?

Suppose a computer spends 90 percent of its time handling a particular type of computation when running a given program, and its manufactures make a change that improves its performance on that type of computation by a factor of 8.5. If the program originally took 100s to execute, what will its execution time be after the change?

A computer architect is designing the memory system for the next version of a processor. If the current version of the processor spends 80 percent of its time processing memory references, by how much must the architect speed up the memory system to achieve an overall speedup of 1.2?

Explanation / Answer

Answer:

Question 1:

Geometric mean of 4,2,4,82

firstly we will multiply all the value = 4*2*4*82 = 2624

then (as there are four number) take square root = 2624 7.16

Geometric mean of the following value will be 7.16

Question 2:

Given

90% time handling a particular type of computation

improve performance by 8.5 %

original second = 100s

We know from question

90 sec will be handling a particular type of computation

So, 90% divide 8.5% = 10.58

execution time be after the change = original second - improvement change

100 sec - 10.58 = 89.42.

Question 3

Given

Current version of processor spent = 80/100 = 0.8

To be able to achieve an overall speedup of 1.2. Computer architect should design the memory system by 1.2 - 0.8 = 0.4.

So the should be 40% increase architect speed up the memory system to achieve an overall speedup of 1.2?

Hope this helps....If you need any help just comment on it.

Good Luck....!!

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