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Lógica matemática/ bc+¬a¬b¬c+b¬c

Expresión bc+¬a¬b¬c+b¬c

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    Solución

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