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Los Teoremas Básicos Del Algebra Booleana
Los Teoremas Básicos del álgebra Booleana son:
TEOREMA 1
Ley Distributiva
A (B+C) = AB+AC
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A
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B
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C
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B+C
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AB
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AC
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AB+AC
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A (B+C)
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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1
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1
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0
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0
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0
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0
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0
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1
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0
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1
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0
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0
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0
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0
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0
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1
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1
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1
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0
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0
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0
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0
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1
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0
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0
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0
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0
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0
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0
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0
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1
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0
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1
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1
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0
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1
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1
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1
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1
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1
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0
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1
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1
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0
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1
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1
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1
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1
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1
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1
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1
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1
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1
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1
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TEOREMA 2
A+A = A
AA = A
TEOREMA 3
Redundancia
A+AB = A
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A
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B
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AB
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X
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0
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0
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0
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0
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0
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1
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0
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0
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1
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0
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0
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1
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1
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1
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1
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1
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A (A+B) = A
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A
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B
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A+B
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X
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0
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0
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0
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0
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0
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1
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1
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0
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1
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0
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1
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0
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1
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1
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1
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1
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TEOREMA 4
0+A = A
Equivalente a una compuerta OR con una de sus terminales conectada a tierra
1A = A
Equivalente a una compuerta AND con una de sus terminales conectada a 1
1+A = 1
0A = 0
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