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

Expresión nota+xand(w+y)+z(noty+w)

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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