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