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Lógica matemática/ abc+ab|c+a|bc+a|bc|

Expresión abc+ab|c+a|bc+a|bc|

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    Solución

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