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