Sr Examen
Expresión ¬(xvy)&(xvy)&¬(x&y)
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
(x∨y)∧(¬(x∧y))∧(¬(x∨y))
$$\neg \left(x \wedge y\right) \wedge \neg \left(x \vee y\right) \wedge \left(x \vee y\right)$$
Solución detallada
$$\neg \left(x \wedge y\right) = \neg x \vee \neg y$$
$$\neg \left(x \vee y\right) = \neg x \wedge \neg y$$
$$\neg \left(x \wedge y\right) \wedge \neg \left(x \vee y\right) \wedge \left(x \vee y\right) = \text{False}$$
$$\neg \left(x \vee y\right) = \neg x \wedge \neg y$$
$$\neg \left(x \wedge y\right) \wedge \neg \left(x \vee y\right) \wedge \left(x \vee y\right) = \text{False}$$
Tabla de verdad
+---+---+--------+ | x | y | result | +===+===+========+ | 0 | 0 | 0 | +---+---+--------+ | 0 | 1 | 0 | +---+---+--------+ | 1 | 0 | 0 | +---+---+--------+ | 1 | 1 | 0 | +---+---+--------+