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