sample_exam1 - 1 VLSI Design EXAM I J Abraham March 1 2006...

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1 VLSI Design J. Abraham Spring 2006 EXAM. I March 1, 2006 Name: Student, A Open Book, Open Notes. Time Limit: 75 minutes (pace yourself). Check for 5 pages in exam. Write all your answers in the spaces/boxes provided. Show any calculations in these pages using the back of the pages if needed. State clearly any assumptions made. PROBLEM MAX POINTS 1 15 2 20 3 20 4 25 5 20 TOTAL 100 1. (15 points) Size the transistors in the circuit below so that it has the same drive strength, in the worst case, as an inverter that has PW = 3 and NW = 2. Use the smallest widths possible to achieve this ratio. Write down the size next to each transistor. b a c d d b a c
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2 2. (20 points) Find the voltages at each of the nodes, A, B, C, D, E and F below. Use the following circuit parameters: V dd = 5 V , V tn = 0 . 5 V , | V tp | = 1 . 5 V . A B C F E D Vdd Vdd Vdd Vdd A = B = C = D = E = F =
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3 3. (20 points) Use the Elmore delay approximation to find the worst-case fall delay at output F for the following circuit. The gate sizes of the transistors are shown in the figure.
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