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Lógica matemática/ ¬x¬z¬t+¬xyt

Expresión ¬x¬z¬t+¬xyt

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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