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