Sr Examen
Expresión (a&b)vне(a&неc)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
(a∧b)∨(¬(a∧(¬c)))
$$\left(a \wedge b\right) \vee \neg \left(a \wedge \neg c\right)$$
Solución detallada
$$\neg \left(a \wedge \neg c\right) = c \vee \neg a$$
$$\left(a \wedge b\right) \vee \neg \left(a \wedge \neg c\right) = b \vee c \vee \neg a$$
$$\left(a \wedge b\right) \vee \neg \left(a \wedge \neg c\right) = b \vee c \vee \neg a$$
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 | 0 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+