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