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