HW1.doc - Computer Science and Engineering Department CSE...

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Computer Science and Engineering Department CSE 5103: Performance Engineering Fall 2017, Homework #1 Posted: September 10, 2017, Due: September 19, 2017 1) a) (5 points) The following circuit shows a different design for a one-bit full adder: What is the execution time for each of the following: p , g , s and C out assuming each gate is executed in one and all of a , b and C in are available at t=0 ? b) (15 points) Four of the above full adders are connected together as shown below: Draw the timing diagram and find the total execution time of this adder. What will be execution time for n-bit adder? s3 s2 s1 s0 b3 a3 b2 a2 b1 a1 b0 a0 p0 p1 p2 p3 g0 g1 g2 g3 c0 c4 c1 c2 c3
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2) (25 points) We discussed the “add and shift” algorithm to multiply two numbers together. Another possible algorithm is called Booth algorithm. Steps of this algorithm is given in academic.regis.edu/psmallwo/sitepages/cs440/presentations/wk1online-boothsalg.ppt A numerical example of this algorithm is shown in https://people.cs.pitt.edu/~jmisurda/teaching/cs447/examples/Booth%20Example.pdf
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