Sr Examen
Expresión xyzvxy¬zv¬xyv¬x¬yvx¬yz
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
(y∧(¬x))∨(x∧y∧z)∨((¬x)∧(¬y))∨(x∧y∧(¬z))∨(x∧z∧(¬y))
$$\left(y \wedge \neg x\right) \vee \left(\neg x \wedge \neg y\right) \vee \left(x \wedge y \wedge z\right) \vee \left(x \wedge y \wedge \neg z\right) \vee \left(x \wedge z \wedge \neg y\right)$$
Solución detallada
$$\left(y \wedge \neg x\right) \vee \left(\neg x \wedge \neg y\right) \vee \left(x \wedge y \wedge z\right) \vee \left(x \wedge y \wedge \neg z\right) \vee \left(x \wedge z \wedge \neg y\right) = y \vee z \vee \neg x$$
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 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+