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