Sr Examen
Expresión x+not(x)*not(y*z)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
x∨((¬x)∧(¬(y∧z)))
$$x \vee \left(\neg x \wedge \neg \left(y \wedge z\right)\right)$$
Solución detallada
$$\neg \left(y \wedge z\right) = \neg y \vee \neg z$$
$$\neg x \wedge \neg \left(y \wedge z\right) = \neg x \wedge \left(\neg y \vee \neg z\right)$$
$$x \vee \left(\neg x \wedge \neg \left(y \wedge z\right)\right) = x \vee \neg y \vee \neg z$$
$$\neg x \wedge \neg \left(y \wedge z\right) = \neg x \wedge \left(\neg y \vee \neg z\right)$$
$$x \vee \left(\neg x \wedge \neg \left(y \wedge z\right)\right) = x \vee \neg y \vee \neg z$$
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 | +---+---+---+--------+