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