Sr Examen
Expresión xyvy¬zvxzv¬yz
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
(x∧y)∨(x∧z)∨(y∧(¬z))∨(z∧(¬y))
$$\left(x \wedge y\right) \vee \left(x \wedge z\right) \vee \left(y \wedge \neg z\right) \vee \left(z \wedge \neg y\right)$$
Solución detallada
$$\left(x \wedge y\right) \vee \left(x \wedge z\right) \vee \left(y \wedge \neg z\right) \vee \left(z \wedge \neg y\right) = \left(x \wedge y\right) \vee \left(y \wedge \neg z\right) \vee \left(z \wedge \neg y\right)$$
Simplificación
[src]
$$\left(x \wedge y\right) \vee \left(y \wedge \neg z\right) \vee \left(z \wedge \neg y\right)$$
(x∧y)∨(y∧(¬z))∨(z∧(¬y))
Tabla de verdad
+---+---+---+--------+ | x | y | z | result | +===+===+===+========+ | 0 | 0 | 0 | 0 | +---+---+---+--------+ | 0 | 0 | 1 | 1 | +---+---+---+--------+ | 0 | 1 | 0 | 1 | +---+---+---+--------+ | 0 | 1 | 1 | 0 | +---+---+---+--------+ | 1 | 0 | 0 | 0 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+
FNDP
[src]
$$\left(x \wedge y\right) \vee \left(y \wedge \neg z\right) \vee \left(z \wedge \neg y\right)$$
(x∧y)∨(y∧(¬z))∨(z∧(¬y))
FNCD
[src]
$$\left(y \vee z\right) \wedge \left(x \vee \neg y \vee \neg z\right)$$
(y∨z)∧(x∨(¬y)∨(¬z))
FNC
[src]
$$\left(y \vee z\right) \wedge \left(y \vee \neg y\right) \wedge \left(x \vee y \vee z\right) \wedge \left(x \vee y \vee \neg y\right) \wedge \left(x \vee z \vee \neg z\right) \wedge \left(x \vee \neg y \vee \neg z\right) \wedge \left(y \vee z \vee \neg z\right) \wedge \left(y \vee \neg y \vee \neg z\right)$$
(y∨z)∧(y∨(¬y))∧(x∨y∨z)∧(x∨y∨(¬y))∧(x∨z∨(¬z))∧(y∨z∨(¬z))∧(x∨(¬y)∨(¬z))∧(y∨(¬y)∨(¬z))
FND
[src]
Ya está reducido a FND
$$\left(x \wedge y\right) \vee \left(y \wedge \neg z\right) \vee \left(z \wedge \neg y\right)$$
(x∧y)∨(y∧(¬z))∨(z∧(¬y))