Sr Examen
Expresión AVB∧!(BVA)∧(!CVB)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
a∨(b∧(¬(a∨b))∧(b∨(¬c)))
$$a \vee \left(b \wedge \neg \left(a \vee b\right) \wedge \left(b \vee \neg c\right)\right)$$
Solución detallada
$$\neg \left(a \vee b\right) = \neg a \wedge \neg b$$
$$b \wedge \neg \left(a \vee b\right) \wedge \left(b \vee \neg c\right) = \text{False}$$
$$a \vee \left(b \wedge \neg \left(a \vee b\right) \wedge \left(b \vee \neg c\right)\right) = a$$
$$b \wedge \neg \left(a \vee b\right) \wedge \left(b \vee \neg c\right) = \text{False}$$
$$a \vee \left(b \wedge \neg \left(a \vee b\right) \wedge \left(b \vee \neg c\right)\right) = a$$
Tabla de verdad
+---+---+---+--------+ | a | b | c | result | +===+===+===+========+ | 0 | 0 | 0 | 0 | +---+---+---+--------+ | 0 | 0 | 1 | 0 | +---+---+---+--------+ | 0 | 1 | 0 | 0 | +---+---+---+--------+ | 0 | 1 | 1 | 0 | +---+---+---+--------+ | 1 | 0 | 0 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+