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