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