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