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