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Homework3 - ECE 3441 Homework#3 3.13 A(A C D(A C(B C D(A B...

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9/14/07 ECE 3441 Homework #3 3.13 A) (A’+C’+D)(A’+C)(B+C’+D’)(A’+B+C)(C+D) = (C+A’D)(C’+(A’+D)(B+D’))(A’+B+C) = (C+A’D(A’+B))(C’+(A’B+DB+D’A)) = (C+A’D+A’DB)(C’+A’B+DB+D’A)(A’+B+C) = (C+(A’D+A’DB)(A’B+DB+D’A))(C’+A’B+DB+D’A) = (C+A’DB)(C’+A’B+DB+D’A) = CA’B+CDB+CD’A+A’BD B) (A’+B’+C’)(A+C+D’)(A+B)(A’+D)(A’+C+D) = (A+(C+D’)B)(A’+(C+D)(B’+C’))(A’+D) = (A+BC+BD’)(A’+D(C+D)(B’+C’)) = (A+BC+BD’)(A’+D(CB’+C’D)) = (A+BC+BD’)(A’+B’CD’+C’D) = AB’CD’+AC’D+A’BC+A’BD’ = AD(B’C+C’)+A’B(C+D’) = AD(B’+C’)+A+B(C+D’) = ADB’+ADC’+A’BC+A’BD’ C) (A’+B’+C)(A+D’)(A’+B+D’)(A+B)(A+C+D’) = (A’+(B’+C)(B+D’))(A+D’B)(A+C+D’) = (A’+BC+CD’+B’D’)(A+D’B(C+D’)) = (A’+BC+CD’+B’D’)(A+BCD’+BD’) = A’BCD’+A’BD’+BCD’+BCD’+ACD’+BCD’+BCD’+AB’D’ = A’BCD’+A’BD’+BCD’+ACD’+AB’D’ = BCD’+A’BD’+ACD’+AB’D’ = A’BD’+ACD’+AB’D’ 3.15 D) A’C’D+AB’D’+A’CD’+BD = A’(C’D+CD’)+AB’D’+BD
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