Sr Examen
Expresión не(неAнеB)V(Aab(неBab1)).
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
(a∧b∧b1∧(¬b))∨(¬((¬a)∧(¬b)))
$$\left(a \wedge b \wedge b_{1} \wedge \neg b\right) \vee \neg \left(\neg a \wedge \neg b\right)$$
Solución detallada
$$a \wedge b \wedge b_{1} \wedge \neg b = \text{False}$$
$$\neg \left(\neg a \wedge \neg b\right) = a \vee b$$
$$\left(a \wedge b \wedge b_{1} \wedge \neg b\right) \vee \neg \left(\neg a \wedge \neg b\right) = a \vee b$$
$$\neg \left(\neg a \wedge \neg b\right) = a \vee b$$
$$\left(a \wedge b \wedge b_{1} \wedge \neg b\right) \vee \neg \left(\neg a \wedge \neg b\right) = a \vee b$$
Tabla de verdad
+---+---+----+--------+ | a | b | b1 | result | +===+===+====+========+ | 0 | 0 | 0 | 0 | +---+---+----+--------+ | 0 | 0 | 1 | 0 | +---+---+----+--------+ | 0 | 1 | 0 | 1 | +---+---+----+--------+ | 0 | 1 | 1 | 1 | +---+---+----+--------+ | 1 | 0 | 0 | 1 | +---+---+----+--------+ | 1 | 0 | 1 | 1 | +---+---+----+--------+ | 1 | 1 | 0 | 1 | +---+---+----+--------+ | 1 | 1 | 1 | 1 | +---+---+----+--------+