Sr Examen
Expresión NOTX&NOTP&NOT(X&Z)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
(¬p)∧(¬x)∧(¬(x∧z))
$$\neg p \wedge \neg x \wedge \neg \left(x \wedge z\right)$$
Solución detallada
$$\neg \left(x \wedge z\right) = \neg x \vee \neg z$$
$$\neg p \wedge \neg x \wedge \neg \left(x \wedge z\right) = \neg p \wedge \neg x$$
$$\neg p \wedge \neg x \wedge \neg \left(x \wedge z\right) = \neg p \wedge \neg x$$
Tabla de verdad
+---+---+---+--------+ | p | x | z | result | +===+===+===+========+ | 0 | 0 | 0 | 1 | +---+---+---+--------+ | 0 | 0 | 1 | 1 | +---+---+---+--------+ | 0 | 1 | 0 | 0 | +---+---+---+--------+ | 0 | 1 | 1 | 0 | +---+---+---+--------+ | 1 | 0 | 0 | 0 | +---+---+---+--------+ | 1 | 0 | 1 | 0 | +---+---+---+--------+ | 1 | 1 | 0 | 0 | +---+---+---+--------+ | 1 | 1 | 1 | 0 | +---+---+---+--------+