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Lógica matemática/ ¬(A∨B∧C)

Expresión ¬(A∨B∧C)

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    Solución

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