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Lógica matemática/ notx+xand(w+y)+z(noty+w)

Expresión notx+xand(w+y)+z(noty+w)

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    Solución

    Ha introducido [src] 
    (¬x)∨(x∧(w∨y))∨(z∧(w∨(¬y)))
    (x∧(w∨y))∨(z∧(w∨¬y))∨¬x\left(x \wedge \left(w \vee y\right)\right) \vee \left(z \wedge \left(w \vee \neg y\right)\right) \vee \neg x
    Solución detallada
    (x∧(w∨y))∨(z∧(w∨¬y))∨¬x=w∨y∨z∨¬x\left(x \wedge \left(w \vee y\right)\right) \vee \left(z \wedge \left(w \vee \neg y\right)\right) \vee \neg x = w \vee y \vee z \vee \neg x
    Simplificación [src]
    w∨y∨z∨¬xw \vee y \vee z \vee \neg x 
    w∨y∨z∨(¬x)
    Tabla de verdad 
    +---+---+---+---+--------+
| w | x | y | z | result |
+===+===+===+===+========+
| 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 1      |
+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 1      |
+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 1      |
+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0      |
+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 1      |
+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 1      |
+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 1      |
+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+--------+
| 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]
    w∨y∨z∨¬xw \vee y \vee z \vee \neg x 
    w∨y∨z∨(¬x)
    FNC [src]
    Ya está reducido a FNC
    w∨y∨z∨¬xw \vee y \vee z \vee \neg x 
    w∨y∨z∨(¬x)
    FND [src]
    Ya está reducido a FND
    w∨y∨z∨¬xw \vee y \vee z \vee \neg x 
    w∨y∨z∨(¬x)
    FNCD [src]
    w∨y∨z∨¬xw \vee y \vee z \vee \neg x 
    w∨y∨z∨(¬x)
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