###### Operating-Systems

October 4, 2023###### NIC-NIELIT STA 2020

October 4, 2023# Operating-Systems

Question 7 |

In an enhancement of a design of a CPU, the speed of a floating point unit has been increased by 20% and the speed of a fixed point unit has been increased by 10%. What is the overall speedup achieved if the ratio of the number of floating point operations to the number of fixed point operations is 2:3 and the floating point operation used to take twice the time taken by the fixed point operation in the original design?

1.155 | |

1.185 | |

1.255 | |

1.285 |

Question 7 Explanation:

Speedup = Original time taken/New time taken

Let n be the time for a fixed point operation,

Original time taken = 3x+2×2n/5 = 7x/5

New time taken = (3x/1.1 + 4x/1.2)/5 = 8x/1.32×5

So, speedup = 7×1.32/8 = 1.155

Let n be the time for a fixed point operation,

Original time taken = 3x+2×2n/5 = 7x/5

New time taken = (3x/1.1 + 4x/1.2)/5 = 8x/1.32×5

So, speedup = 7×1.32/8 = 1.155

Correct Answer: A

Question 7 Explanation:

Speedup = Original time taken/New time taken

Let n be the time for a fixed point operation,

Original time taken = 3x+2×2n/5 = 7x/5

New time taken = (3x/1.1 + 4x/1.2)/5 = 8x/1.32×5

So, speedup = 7×1.32/8 = 1.155

Let n be the time for a fixed point operation,

Original time taken = 3x+2×2n/5 = 7x/5

New time taken = (3x/1.1 + 4x/1.2)/5 = 8x/1.32×5

So, speedup = 7×1.32/8 = 1.155

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