Sr Examen
Expresión xv(y⊕z)↓y
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Solución detallada
$$y ⊕ z = \left(y \wedge \neg z\right) \vee \left(z \wedge \neg y\right)$$
$$x \vee \left(y ⊕ z\right) = x \vee \left(y \wedge \neg z\right) \vee \left(z \wedge \neg y\right)$$
$$\left(x \vee \left(y ⊕ z\right)\right) ↓ y = \neg x \wedge \neg y \wedge \neg z$$
$$x \vee \left(y ⊕ z\right) = x \vee \left(y \wedge \neg z\right) \vee \left(z \wedge \neg y\right)$$
$$\left(x \vee \left(y ⊕ z\right)\right) ↓ y = \neg x \wedge \neg y \wedge \neg z$$
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 | +---+---+---+--------+