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