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