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