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