Sr Examen
Expresión НЕ(A&неB)vНе(B&неC)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
(¬(a∧(¬b)))∨(¬(b∧(¬c)))
$$\neg \left(a \wedge \neg b\right) \vee \neg \left(b \wedge \neg c\right)$$
Solución detallada
$$\neg \left(a \wedge \neg b\right) = b \vee \neg a$$
$$\neg \left(b \wedge \neg c\right) = c \vee \neg b$$
$$\neg \left(a \wedge \neg b\right) \vee \neg \left(b \wedge \neg c\right) = 1$$
$$\neg \left(b \wedge \neg c\right) = c \vee \neg b$$
$$\neg \left(a \wedge \neg b\right) \vee \neg \left(b \wedge \neg c\right) = 1$$
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 | +---+---+---+--------+