Sr Examen
Expresión (avc)&bv(a-b)-c
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Solución
Ha introducido
[src]
((a|b)∨(b∧(a∨c)))|c
$$\left(\left(b \wedge \left(a \vee c\right)\right) \vee \left(a | b\right)\right) | c$$
Solución detallada
$$a | b = \neg a \vee \neg b$$
$$\left(b \wedge \left(a \vee c\right)\right) \vee \left(a | b\right) = 1$$
$$\left(\left(b \wedge \left(a \vee c\right)\right) \vee \left(a | b\right)\right) | c = \neg c$$
$$\left(b \wedge \left(a \vee c\right)\right) \vee \left(a | b\right) = 1$$
$$\left(\left(b \wedge \left(a \vee c\right)\right) \vee \left(a | b\right)\right) | c = \neg c$$
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 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 0 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 0 | +---+---+---+--------+