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