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