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