Sr Examen
Expresión (¬a∨b∧¬c)∨¬(a∧b∧¬c)
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Solución
Ha introducido
[src]
(¬a)∨(b∧(¬c))∨(¬(a∧b∧(¬c)))
$$\left(b \wedge \neg c\right) \vee \neg a \vee \neg \left(a \wedge b \wedge \neg c\right)$$
Solución detallada
$$\neg \left(a \wedge b \wedge \neg c\right) = c \vee \neg a \vee \neg b$$
$$\left(b \wedge \neg c\right) \vee \neg a \vee \neg \left(a \wedge b \wedge \neg c\right) = 1$$
$$\left(b \wedge \neg c\right) \vee \neg a \vee \neg \left(a \wedge b \wedge \neg c\right) = 1$$
Tabla de verdad
+---+---+---+--------+ | a | b | c | 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 | +---+---+---+--------+