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Lógica matemática/ ABиC+ABC+иAиB

Expresión ABиC+ABC+иAиB

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    Solución

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