Sr Examen
Expresión not(A^B^C)∧A^notB
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Solución
Ha introducido
[src]
a∧(¬b)∧(¬(a∧b∧c))
$$a \wedge \neg b \wedge \neg \left(a \wedge b \wedge c\right)$$
Solución detallada
$$\neg \left(a \wedge b \wedge c\right) = \neg a \vee \neg b \vee \neg c$$
$$a \wedge \neg b \wedge \neg \left(a \wedge b \wedge c\right) = a \wedge \neg b$$
$$a \wedge \neg b \wedge \neg \left(a \wedge b \wedge c\right) = a \wedge \neg b$$
Tabla de verdad
+---+---+---+--------+ | a | b | c | result | +===+===+===+========+ | 0 | 0 | 0 | 0 | +---+---+---+--------+ | 0 | 0 | 1 | 0 | +---+---+---+--------+ | 0 | 1 | 0 | 0 | +---+---+---+--------+ | 0 | 1 | 1 | 0 | +---+---+---+--------+ | 1 | 0 | 0 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 0 | +---+---+---+--------+ | 1 | 1 | 1 | 0 | +---+---+---+--------+