Sr Examen
Expresión y∧(¬xvx∧(yvz))
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Solución
Ha introducido
[src]
y∧((¬x)∨(x∧(y∨z)))
$$y \wedge \left(\left(x \wedge \left(y \vee z\right)\right) \vee \neg x\right)$$
Solución detallada
$$\left(x \wedge \left(y \vee z\right)\right) \vee \neg x = y \vee z \vee \neg x$$
$$y \wedge \left(\left(x \wedge \left(y \vee z\right)\right) \vee \neg x\right) = y$$
$$y \wedge \left(\left(x \wedge \left(y \vee z\right)\right) \vee \neg x\right) = y$$
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 | 0 | +---+---+---+--------+ | 1 | 0 | 1 | 0 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+