Sr Examen
Expresión xx+xy¬z+xz+y¬zz
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
x∨(x∧z)∨(x∧y∧(¬z))∨(y∧z∧(¬z))
$$x \vee \left(x \wedge z\right) \vee \left(x \wedge y \wedge \neg z\right) \vee \left(y \wedge z \wedge \neg z\right)$$
Solución detallada
$$y \wedge z \wedge \neg z = \text{False}$$
$$x \vee \left(x \wedge z\right) \vee \left(x \wedge y \wedge \neg z\right) \vee \left(y \wedge z \wedge \neg z\right) = x$$
$$x \vee \left(x \wedge z\right) \vee \left(x \wedge y \wedge \neg z\right) \vee \left(y \wedge z \wedge \neg z\right) = x$$
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 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+