Sr Examen
Expresión xx(-y)vx(-x)yvx(-y)(-y)v(-x)y(-y)
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Solución
Ha introducido
[src]
(x∧(¬y))∨(x∧y∧(¬x))∨(y∧(¬x)∧(¬y))
$$\left(x \wedge \neg y\right) \vee \left(x \wedge y \wedge \neg x\right) \vee \left(y \wedge \neg x \wedge \neg y\right)$$
Solución detallada
$$x \wedge y \wedge \neg x = \text{False}$$
$$y \wedge \neg x \wedge \neg y = \text{False}$$
$$\left(x \wedge \neg y\right) \vee \left(x \wedge y \wedge \neg x\right) \vee \left(y \wedge \neg x \wedge \neg y\right) = x \wedge \neg y$$
$$y \wedge \neg x \wedge \neg y = \text{False}$$
$$\left(x \wedge \neg y\right) \vee \left(x \wedge y \wedge \neg x\right) \vee \left(y \wedge \neg x \wedge \neg y\right) = x \wedge \neg y$$
Tabla de verdad
+---+---+--------+ | x | y | result | +===+===+========+ | 0 | 0 | 0 | +---+---+--------+ | 0 | 1 | 0 | +---+---+--------+ | 1 | 0 | 1 | +---+---+--------+ | 1 | 1 | 0 | +---+---+--------+