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