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ECE251 hw5

# ECE251 hw5 - the ensuing joint lunch Or(c Jean’s mother...

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NEW JERSEY INSTITUTE OF TECHNOLOGY DEPT. OF ELECTRICAL & COMPUTER ENGINEERING ACADEMIC YEAR 2010-2011 SEMESTER 1 ECE251 DIGITAL DESIGN HW 5 1. Compute the complement of ) ( ) ( C A D D C B A F + + + = using Boolean algebra. Simplify your answer as much as possible. 2. Simplify the function ) 15 , 11 , 9 , 4 , 1 ( ) , , , ( = D C B A F using a K-map. 3. Simplify the function ) 15 , 13 , 12 , 8 , 6 , 1 , 0 ( ) , , , ( = D C B A F using a K-map. 4. John tells his girl friend, Jean, that they will go to the park the next day if: (a) It does not rain in the morning, and Jean’s mother decides not to join them. Or, (b) It does rain in the morning; Jean’s mother decides to join them, and she pays for
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Unformatted text preview: the ensuing joint lunch. Or, (c) Jean’s mother does not pay for the lunch. The next morning it did rain and Jean’s mother called and said that she would like to join them if they go to the park. Will John and Jean go to the park? 5. Design a combinational circuit with inputs A, B, C , and outputs X and Y such that: (a) The output X =1 whenever 2 or more inputs are 1. (b) The output Y =1 whenever input A matches input B . Show the circuit implementation using 2-input AND and OR gates and Inverters. 1...
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