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