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