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Lógica matemática/ (B+(¬A*¬C))*(B*(C+¬A))

Expresión (B+(¬A*¬C))*(B*(C+¬A))

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

    Ha introducido [src] 
    b∧(c∨(¬a))∧(b∨((¬a)∧(¬c)))
    $$b \wedge \left(b \vee \left(\neg a \wedge \neg c\right)\right) \wedge \left(c \vee \neg a\right)$$
    Solución detallada
    $$b \wedge \left(b \vee \left(\neg a \wedge \neg c\right)\right) \wedge \left(c \vee \neg a\right) = b \wedge \left(c \vee \neg a\right)$$
    Simplificación [src]
    $$b \wedge \left(c \vee \neg a\right)$$ 
    b∧(c∨(¬a))
    Tabla de verdad 
    +---+---+---+--------+
| a | b | c | result |
+===+===+===+========+
| 0 | 0 | 0 | 0      |
+---+---+---+--------+
| 0 | 0 | 1 | 0      |
+---+---+---+--------+
| 0 | 1 | 0 | 1      |
+---+---+---+--------+
| 0 | 1 | 1 | 1      |
+---+---+---+--------+
| 1 | 0 | 0 | 0      |
+---+---+---+--------+
| 1 | 0 | 1 | 0      |
+---+---+---+--------+
| 1 | 1 | 0 | 0      |
+---+---+---+--------+
| 1 | 1 | 1 | 1      |
+---+---+---+--------+
    FNCD [src]
    $$b \wedge \left(c \vee \neg a\right)$$ 
    b∧(c∨(¬a))
    FND [src]
    $$\left(b \wedge c\right) \vee \left(b \wedge \neg a\right)$$ 
    (b∧c)∨(b∧(¬a))
    FNDP [src]
    $$\left(b \wedge c\right) \vee \left(b \wedge \neg a\right)$$ 
    (b∧c)∨(b∧(¬a))
    FNC [src]
    Ya está reducido a FNC
    $$b \wedge \left(c \vee \neg a\right)$$ 
    b∧(c∨(¬a))
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