algebra booleana taller 1

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MATEMÁTICAS DISCRETAS ALGEBRA BOOLEANA TALLER No 1 Yeimi Carolina Acosta Ortiz – 24157 Maryluz Ospina Quintero – 9866 Patricia Olmos - 10090 Jonathan Jair Castro Quiñones – 9829 Omar Urazan García – 9859 Rolando Cuenca - 34831 Universidad ECCI Bogotá D.C Sep - 2015

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Page 1: Algebra booleana taller 1

MATEMÁTICAS DISCRETASALGEBRA BOOLEANA TALLER No 1 

Yeimi Carolina Acosta Ortiz – 24157Maryluz Ospina Quintero – 9866

Patricia Olmos - 10090Jonathan Jair Castro Quiñones – 9829

Omar Urazan García – 9859Rolando Cuenca - 34831

Universidad ECCIBogotá D.CSep - 2015

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ALGEBRA BOOLEANA

1) (Ā+ A·B+ Ā·B·C)·(A+B+C)

Ā· (A·B)+Ā·(B·C) Ā· (A·B)+(B·C)) Ā·(B·(A+C))

2) (A+B)·(A+¬C)·(B+C) (A+B)·¬C· (A+B)

3) (A+B+C+Ā+¬B+C)·((¬A+¬B+C)) A+ ((B·C) + Ā+B+C·)·(¬A+B)+C) A+ (B·C) + Ā·(B·C)·¬(A+B+C) A+ (B·C)+Ā·(B·C)·Ā·¬B+C

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a. b. c.

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a. c.b. RTA:

(A.B)+(A.B.C)+(C.D)

(A.B)+(A.B.C)+(C.D)

(A+B)+(A+B+C)+C+D

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a.

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b.

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c.

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b.

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c.

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b.

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c.

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Caso 1:

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Caso 2

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Caso 3

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a.

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b.

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