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Lógica matemática/ a\dv(b&d)(avb)&(c&d)

Expresión a\dv(b&d)(avb)&(c&d)

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    Solución

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