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Lógica matemática/ (avb)&cvd

Expresión (avb)&cvd

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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