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