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Lógica matemática/ �(av�b)

Expresión �(av�b)

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    Solución

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