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Lógica matemática/ ADB&(BVC)(C∨D)

Expresión ADB&(BVC)(C∨D)

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    Solución

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