Sr Examen
Expresión ¬b*¬c+a*b*c+a*¬b+¬a*b*¬c+¬b*c
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
(a∧(¬b))∨(c∧(¬b))∨(a∧b∧c)∨((¬b)∧(¬c))∨(b∧(¬a)∧(¬c))
$$\left(a \wedge \neg b\right) \vee \left(c \wedge \neg b\right) \vee \left(\neg b \wedge \neg c\right) \vee \left(a \wedge b \wedge c\right) \vee \left(b \wedge \neg a \wedge \neg c\right)$$
Solución detallada
$$\left(a \wedge \neg b\right) \vee \left(c \wedge \neg b\right) \vee \left(\neg b \wedge \neg c\right) \vee \left(a \wedge b \wedge c\right) \vee \left(b \wedge \neg a \wedge \neg c\right) = \left(a \wedge c\right) \vee \left(\neg a \wedge \neg c\right) \vee \neg b$$
Simplificación
[src]
$$\left(a \wedge c\right) \vee \left(\neg a \wedge \neg c\right) \vee \neg b$$
(¬b)∨(a∧c)∨((¬a)∧(¬c))
Tabla de verdad
+---+---+---+--------+ | a | b | c | result | +===+===+===+========+ | 0 | 0 | 0 | 1 | +---+---+---+--------+ | 0 | 0 | 1 | 1 | +---+---+---+--------+ | 0 | 1 | 0 | 1 | +---+---+---+--------+ | 0 | 1 | 1 | 0 | +---+---+---+--------+ | 1 | 0 | 0 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 0 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+
FNC
[src]
$$\left(a \vee \neg a \vee \neg b\right) \wedge \left(a \vee \neg b \vee \neg c\right) \wedge \left(c \vee \neg a \vee \neg b\right) \wedge \left(c \vee \neg b \vee \neg c\right)$$
(a∨(¬a)∨(¬b))∧(a∨(¬b)∨(¬c))∧(c∨(¬a)∨(¬b))∧(c∨(¬b)∨(¬c))
FND
[src]
Ya está reducido a FND
$$\left(a \wedge c\right) \vee \left(\neg a \wedge \neg c\right) \vee \neg b$$
(¬b)∨(a∧c)∨((¬a)∧(¬c))
FNCD
[src]
$$\left(a \vee \neg b \vee \neg c\right) \wedge \left(c \vee \neg a \vee \neg b\right)$$
(a∨(¬b)∨(¬c))∧(c∨(¬a)∨(¬b))
FNDP
[src]
$$\left(a \wedge c\right) \vee \left(\neg a \wedge \neg c\right) \vee \neg b$$
(¬b)∨(a∧c)∨((¬a)∧(¬c))