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Lógica matemática/ Неp*неx+неp*a

Expresión Неp*неx+неp*a

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    Solución

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