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Lógica matemática/ AC∨BC∨AC

Expresión AC∨BC∨AC

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    Solución

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