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Lógica matemática/ С&(Av!B)&(BvC)

Expresión С&(Av!B)&(BvC)

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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