Sr Examen
Lógica matemática/ ¬c∧(Bv¬D)vA∧¬(C)∧D∨A∧B∧D

Expresión ¬c∧(Bv¬D)vA∧¬(C)∧D∨A∧B∧D

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

    Ha introducido [src] 
    (a∧b∧d)∨(a∧d∧(¬c))∨((¬c)∧(b∨(¬d)))
    (¬c∧(b∨¬d))∨(a∧b∧d)∨(a∧d∧¬c)\left(\neg c \wedge \left(b \vee \neg d\right)\right) \vee \left(a \wedge b \wedge d\right) \vee \left(a \wedge d \wedge \neg c\right)
    Solución detallada
    (¬c∧(b∨¬d))∨(a∧b∧d)∨(a∧d∧¬c)=(a∧¬c)∨(b∧¬c)∨(¬c∧¬d)∨(a∧b∧d)\left(\neg c \wedge \left(b \vee \neg d\right)\right) \vee \left(a \wedge b \wedge d\right) \vee \left(a \wedge d \wedge \neg c\right) = \left(a \wedge \neg c\right) \vee \left(b \wedge \neg c\right) \vee \left(\neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge d\right)
    Simplificación [src]
    (a∧¬c)∨(b∧¬c)∨(¬c∧¬d)∨(a∧b∧d)\left(a \wedge \neg c\right) \vee \left(b \wedge \neg c\right) \vee \left(\neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge d\right) 
    (a∧(¬c))∨(b∧(¬c))∨(a∧b∧d)∨((¬c)∧(¬d))
    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 | 0      |
+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 1      |
+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 0      |
+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0      |
+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0      |
+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0      |
+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+--------+
    FNDP [src]
    (a∧¬c)∨(b∧¬c)∨(¬c∧¬d)∨(a∧b∧d)\left(a \wedge \neg c\right) \vee \left(b \wedge \neg c\right) \vee \left(\neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge d\right) 
    (a∧(¬c))∨(b∧(¬c))∨(a∧b∧d)∨((¬c)∧(¬d))
    FNC [src]
    (a∨¬c)∧(b∨¬c)∧(d∨¬c)∧(a∨b∨¬c)∧(a∨b∨¬d)∧(a∨d∨¬c)∧(a∨¬c∨¬d)∧(b∨d∨¬c)∧(b∨¬c∨¬d)∧(d∨¬c∨¬d)∧(a∨b∨d∨¬c)∧(a∨b∨d∨¬d)∧(a∨b∨¬c∨¬d)∧(a∨d∨¬c∨¬d)∧(b∨d∨¬c∨¬d)\left(a \vee \neg c\right) \wedge \left(b \vee \neg c\right) \wedge \left(d \vee \neg c\right) \wedge \left(a \vee b \vee \neg c\right) \wedge \left(a \vee b \vee \neg d\right) \wedge \left(a \vee d \vee \neg c\right) \wedge \left(a \vee \neg c \vee \neg d\right) \wedge \left(b \vee d \vee \neg c\right) \wedge \left(b \vee \neg c \vee \neg d\right) \wedge \left(d \vee \neg c \vee \neg d\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 c \vee \neg d\right) \wedge \left(a \vee d \vee \neg c \vee \neg d\right) \wedge \left(b \vee d \vee \neg c \vee \neg d\right) 
    (a∨(¬c))∧(b∨(¬c))∧(d∨(¬c))∧(a∨b∨(¬c))∧(a∨b∨(¬d))∧(a∨d∨(¬c))∧(b∨d∨(¬c))∧(a∨(¬c)∨(¬d))∧(b∨(¬c)∨(¬d))∧(d∨(¬c)∨(¬d))∧(a∨b∨d∨(¬c))∧(a∨b∨d∨(¬d))∧(a∨b∨(¬c)∨(¬d))∧(a∨d∨(¬c)∨(¬d))∧(b∨d∨(¬c)∨(¬d))
    FNCD [src]
    (a∨¬c)∧(b∨¬c)∧(d∨¬c)∧(a∨b∨¬d)\left(a \vee \neg c\right) \wedge \left(b \vee \neg c\right) \wedge \left(d \vee \neg c\right) \wedge \left(a \vee b \vee \neg d\right) 
    (a∨(¬c))∧(b∨(¬c))∧(d∨(¬c))∧(a∨b∨(¬d))
    FND [src]
    Ya está reducido a FND
    (a∧¬c)∨(b∧¬c)∨(¬c∧¬d)∨(a∧b∧d)\left(a \wedge \neg c\right) \vee \left(b \wedge \neg c\right) \vee \left(\neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge d\right) 
    (a∧(¬c))∨(b∧(¬c))∨(a∧b∧d)∨((¬c)∧(¬d))
    © Sr Examen – Калькулятор