WI12-hw3-sol

WI12-hw3-sol - UNIVERSITY OF CALIFORNIA-DAVIS DEPARTMENT OF...

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UC Davis 1 Hussain Al-Asaad U NIVERSITY OF C ALIFORNIA —D AVIS D EPARTMENT OF E LECTRICAL OMPUTER E NGINEERING EEC180A—D IGITAL S YSTEMS I Winter 2012 P ROBLEM S ET 3—S OLUTION 1. PROBLEM 3.6 (PART B ) 2. PROBLEM 3.9 (PART E ) f A B C D   m 1 5 7 8 9 13 15      d 4 12 14 + = Implication Table Column I Column II Column III 0001 0-01 --01 * 0100 -001 -10- * 1000 010- 1-0- * -100 0101 100- -1-1 * 1001 1-00 11-- * 1100 01-1 0111 -101 1101 1-01 1110 110- 11-0 1111 -111 11-1 111- Prime Implicant Chart 1 5 7 8 9 13 15 1,5,9,13 (--01) X X X X 5,13 (-10-) X X 8,9,13 (1-0-) X X X 5,7,13,15 (-1-1) X X X X 13,15 (11--) X X It is obvious from the prime implicant chart that there are three essential prime implicants: --01 , 1-0- , and -1-1 . These essential prime implicants cover all the minterms of the
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WI12-hw3-sol - UNIVERSITY OF CALIFORNIA-DAVIS DEPARTMENT OF...

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