Sr Examen
Lógica matemática/ not(A)+not(B)*C*not(D)=0

Expresión not(A)+not(B)*C*not(D)=0

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    Solución

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