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

 A 1.155 B 1.185 C 1.255 D 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
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