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Lógica matemática/ (¬av¬bvcvd)&(av¬bvcv¬d)

Expresión (¬av¬bvcvd)&(av¬bvcv¬d)

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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