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