Sr Examen
Expresión AvA&(CvB)&(AvB)vB&C
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
a∨(b∧c)∨(a∧(a∨b)∧(b∨c))
$$a \vee \left(b \wedge c\right) \vee \left(a \wedge \left(a \vee b\right) \wedge \left(b \vee c\right)\right)$$
Solución detallada
$$a \wedge \left(a \vee b\right) \wedge \left(b \vee c\right) = a \wedge \left(b \vee c\right)$$
$$a \vee \left(b \wedge c\right) \vee \left(a \wedge \left(a \vee b\right) \wedge \left(b \vee c\right)\right) = a \vee \left(b \wedge c\right)$$
$$a \vee \left(b \wedge c\right) \vee \left(a \wedge \left(a \vee b\right) \wedge \left(b \vee c\right)\right) = a \vee \left(b \wedge c\right)$$
Tabla de verdad
+---+---+---+--------+ | a | b | c | result | +===+===+===+========+ | 0 | 0 | 0 | 0 | +---+---+---+--------+ | 0 | 0 | 1 | 0 | +---+---+---+--------+ | 0 | 1 | 0 | 0 | +---+---+---+--------+ | 0 | 1 | 1 | 1 | +---+---+---+--------+ | 1 | 0 | 0 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+