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