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# hw10sol - X 1 1 0 0 X 1 1 0 1 X 1 1 1 0 X 1 1 1 1 X b ° =...

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Carnegie Mellon University Department of Electrical and Computer Engineering 18-100 Fall 2009 Introduction to Electrical and Computer Engineering Homework 10 - Due Tuesday, November 24, 2009 Problem 1: Rizzoni 12.36, 10 points A B C F 0 0 0 1 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 ° = ? + ? + ? Problem 2: Rizzoni 12.48, 10 points A B C F 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1

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° = ?? ° = ?? Problem 3: Rizzoni 12.56, 20 points ° = ? ? ± + ??? ² + ??? ± + ? ² ??? = ? ? ± ∗ ³??? ± ´ ∗ ³??? ± ´ ∗ ? ² ??? ° = ³? + ? + ? ± ´³? + ? + ?´³? + ? + ?´³? ² + ? ² + ? ± ´³? ² + ? + ? ± ´ = ³? + ? + ? ± ´ + ³? + ? + + ³? + ? + + ³? ² + ? ² + ? ± ´ + ( ? ² + ? + ? ± )
SOP: POS: Problem 4: Rizzoni 12.59, 10 points ° = ? ?? + ? ? ? + ??? ° = ±? + ?²±? + ?²±? + ( ? + ? )

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Problem 5: Rizzoni 12.58, 20 points a.) A3 A2 A1 A0 F 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 X 1 0 1 1

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Unformatted text preview: X 1 1 0 0 X 1 1 0 1 X 1 1 1 0 X 1 1 1 1 X b.) ° = ? 2 ? 1 ? + ? 2 ? 1 ? + ? 3 ? ° = ±? 2 + ? ²±? 3 + ? 1 ²±? 2 + ? ² c.) Problem 6: Rizzoni 12.70, 10 points a.) X Y S C 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 b.) This circuit forms a 2-bit half adder (x+y) with carry Problem 7: Rizzoni 12.71, 10 points A 4x16 decoder sets one of the 16 outputs to logic high corresponding to the 4 combination of inputs. For example, an input of ABCD=0000 sets output 0 to logic high and output 1-15 to logic low. An input of ABCD=1100 sets output 11 (decimal 12-1=11) to logic high and outputs 0-10,12-15 to logic low. The variable A selects the upper or lower decoder for operation – this extends the 2 3x8 decoders to a single 4x16. Problem 8: Rizzoni 12.74, 10 points...
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hw10sol - X 1 1 0 0 X 1 1 0 1 X 1 1 1 0 X 1 1 1 1 X b ° =...

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