ECE327 Final: ECE 327 University of Waterloo 2012 Term 2 Final Solution

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In this question, you will design and analyze a data ow diagram for the equation: a (b + c) + (a b) c 7 3. Design a data ow diagram that satis es the requirements and maximizes the goals listed above. (there is more space on the next page. ) (page 2 of 25) Answer: optimal solution (overlapping stages) (a) algebraic optimizations a (b + c) + (a b) c 7 3. = (a b) c + ( 3) + (a b) c 7 a b c. 0. 4 + 0. 9 + 3. 0 + 16 + 2. 2 = 22. 5 ns skew + jitter + clock-to-q + mult + setup. Q1: suboptimal solution #1 a b c. Q1: suboptimal solution #2 a b c. Q1: suboptimal solution #3 a b c. Q1: suboptimal solution #4 a b c. 0. 4 + 0. 9 + 3. 0 + 16 + 2. 2 = 22. 5 ns. 2 marks clock period (page 10 of 25)