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Lógica matemática/ (¬xy)∨(¬xyz)∨(yzt)

Expresión (¬xy)∨(¬xyz)∨(yzt)

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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