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Lógica matemática/ (a∧b)∨(b∧c)

Expresión (a∧b)∨(b∧c)

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    Solución

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