Expresión xy∨xz∨¬x¬yz
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Solución
Solución detallada
$$\left(x \wedge y\right) \vee \left(x \wedge z\right) \vee \left(z \wedge \neg x \wedge \neg y\right) = \left(x \wedge y\right) \vee \left(z \wedge \neg y\right)$$
$$\left(x \wedge y\right) \vee \left(z \wedge \neg y\right)$$
Tabla de verdad
+---+---+---+--------+
| x | y | z | result |
+===+===+===+========+
| 0 | 0 | 0 | 0 |
+---+---+---+--------+
| 0 | 0 | 1 | 1 |
+---+---+---+--------+
| 0 | 1 | 0 | 0 |
+---+---+---+--------+
| 0 | 1 | 1 | 0 |
+---+---+---+--------+
| 1 | 0 | 0 | 0 |
+---+---+---+--------+
| 1 | 0 | 1 | 1 |
+---+---+---+--------+
| 1 | 1 | 0 | 1 |
+---+---+---+--------+
| 1 | 1 | 1 | 1 |
+---+---+---+--------+
$$\left(x \wedge y\right) \vee \left(z \wedge \neg y\right)$$
Ya está reducido a FND
$$\left(x \wedge y\right) \vee \left(z \wedge \neg y\right)$$
$$\left(x \vee z\right) \wedge \left(x \vee \neg y\right) \wedge \left(y \vee z\right) \wedge \left(y \vee \neg y\right)$$
(x∨z)∧(y∨z)∧(x∨(¬y))∧(y∨(¬y))
$$\left(x \vee \neg y\right) \wedge \left(y \vee z\right)$$