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