Sr Examen
Expresión ¬(¬(a*b)+c)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Solución detallada
$$\neg \left(a \wedge b\right) = \neg a \vee \neg b$$
$$c \vee \neg \left(a \wedge b\right) = c \vee \neg a \vee \neg b$$
$$\neg \left(c \vee \neg \left(a \wedge b\right)\right) = a \wedge b \wedge \neg c$$
$$c \vee \neg \left(a \wedge b\right) = c \vee \neg a \vee \neg b$$
$$\neg \left(c \vee \neg \left(a \wedge b\right)\right) = a \wedge b \wedge \neg c$$
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 | 0 | +---+---+---+--------+ | 1 | 0 | 1 | 0 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 0 | +---+---+---+--------+