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