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