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