Sr Examen
Expresión (¬bva)&(c&av¬c&¬a)&(avc)&b
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Solución
Ha introducido
[src]
b∧(a∨c)∧(a∨(¬b))∧((a∧c)∨((¬a)∧(¬c)))
$$b \wedge \left(a \vee c\right) \wedge \left(a \vee \neg b\right) \wedge \left(\left(a \wedge c\right) \vee \left(\neg a \wedge \neg c\right)\right)$$
Solución detallada
$$b \wedge \left(a \vee c\right) \wedge \left(a \vee \neg b\right) \wedge \left(\left(a \wedge c\right) \vee \left(\neg a \wedge \neg c\right)\right) = a \wedge b \wedge c$$
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 | 0 | +---+---+---+--------+ | 1 | 0 | 1 | 0 | +---+---+---+--------+ | 1 | 1 | 0 | 0 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+