Sr Examen
Expresión bv¬bvav¬(cvb)&bva
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
a∨b∨(¬b)∨(b∧(¬(b∨c)))
$$a \vee b \vee \left(b \wedge \neg \left(b \vee c\right)\right) \vee \neg b$$
Solución detallada
$$\neg \left(b \vee c\right) = \neg b \wedge \neg c$$
$$b \wedge \neg \left(b \vee c\right) = \text{False}$$
$$a \vee b \vee \left(b \wedge \neg \left(b \vee c\right)\right) \vee \neg b = 1$$
$$b \wedge \neg \left(b \vee c\right) = \text{False}$$
$$a \vee b \vee \left(b \wedge \neg \left(b \vee c\right)\right) \vee \neg b = 1$$
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 | +---+---+---+--------+