Sr Examen
Expresión (xvy)&(xvz)v(y&¬x)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
(y∧(¬x))∨((x∨y)∧(x∨z))
$$\left(y \wedge \neg x\right) \vee \left(\left(x \vee y\right) \wedge \left(x \vee z\right)\right)$$
Solución detallada
$$\left(x \vee y\right) \wedge \left(x \vee z\right) = x \vee \left(y \wedge z\right)$$
$$\left(y \wedge \neg x\right) \vee \left(\left(x \vee y\right) \wedge \left(x \vee z\right)\right) = x \vee y$$
$$\left(y \wedge \neg x\right) \vee \left(\left(x \vee y\right) \wedge \left(x \vee z\right)\right) = x \vee y$$
Tabla de verdad
+---+---+---+--------+ | x | y | z | result | +===+===+===+========+ | 0 | 0 | 0 | 0 | +---+---+---+--------+ | 0 | 0 | 1 | 0 | +---+---+---+--------+ | 0 | 1 | 0 | 1 | +---+---+---+--------+ | 0 | 1 | 1 | 1 | +---+---+---+--------+ | 1 | 0 | 0 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+