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Lógica matemática/ aornot(b)orcandaand(not(b))andcoraandbandc

Expresión aornot(b)orcandaand(not(b))andcoraandbandc

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    Solución

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