Sr Examen
Expresión (!avb&c)&((a&!b)v(!a&!c))
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Solución
Ha introducido
[src]
((¬a)∨(b∧c))∧((a∧(¬b))∨((¬a)∧(¬c)))
$$\left(\left(a \wedge \neg b\right) \vee \left(\neg a \wedge \neg c\right)\right) \wedge \left(\left(b \wedge c\right) \vee \neg a\right)$$
Solución detallada
$$\left(\left(a \wedge \neg b\right) \vee \left(\neg a \wedge \neg c\right)\right) \wedge \left(\left(b \wedge c\right) \vee \neg a\right) = \neg a \wedge \neg c$$
Tabla de verdad
+---+---+---+--------+ | a | b | c | result | +===+===+===+========+ | 0 | 0 | 0 | 1 | +---+---+---+--------+ | 0 | 0 | 1 | 0 | +---+---+---+--------+ | 0 | 1 | 0 | 1 | +---+---+---+--------+ | 0 | 1 | 1 | 0 | +---+---+---+--------+ | 1 | 0 | 0 | 0 | +---+---+---+--------+ | 1 | 0 | 1 | 0 | +---+---+---+--------+ | 1 | 1 | 0 | 0 | +---+---+---+--------+ | 1 | 1 | 1 | 0 | +---+---+---+--------+