Expresión xyz∨x¬yz∨¬xy¬z∨xy¬z∨¬xyz

Ha introducido [src]

(x∧y∧z)∨(x∧y∧(¬z))∨(x∧z∧(¬y))∨(y∧z∧(¬x))∨(y∧(¬x)∧(¬z))

$$\left(x \wedge y \wedge z\right) \vee \left(x \wedge y \wedge \neg z\right) \vee \left(x \wedge z \wedge \neg y\right) \vee \left(y \wedge z \wedge \neg x\right) \vee \left(y \wedge \neg x \wedge \neg z\right)$$

Solución detallada

$$\left(x \wedge y \wedge z\right) \vee \left(x \wedge y \wedge \neg z\right) \vee \left(x \wedge z \wedge \neg y\right) \vee \left(y \wedge z \wedge \neg x\right) \vee \left(y \wedge \neg x \wedge \neg z\right) = y \vee \left(x \wedge z\right)$$

Simplificación [src]

$$y \vee \left(x \wedge z\right)$$

y∨(x∧z)

Tabla de verdad

+---+---+---+--------+
| x | y | z | result |
+===+===+===+========+
| 0 | 0 | 0 | 0      |
+---+---+---+--------+
| 0 | 0 | 1 | 0      |
+---+---+---+--------+
| 0 | 1 | 0 | 1      |
+---+---+---+--------+
| 0 | 1 | 1 | 1      |
+---+---+---+--------+
| 1 | 0 | 0 | 0      |
+---+---+---+--------+
| 1 | 0 | 1 | 1      |
+---+---+---+--------+
| 1 | 1 | 0 | 1      |
+---+---+---+--------+
| 1 | 1 | 1 | 1      |
+---+---+---+--------+

FND [src]

Ya está reducido a FND

$$y \vee \left(x \wedge z\right)$$

y∨(x∧z)

FNC [src]

$$\left(x \vee y\right) \wedge \left(y \vee z\right)$$

(x∨y)∧(y∨z)

FNCD [src]

$$\left(x \vee y\right) \wedge \left(y \vee z\right)$$

(x∨y)∧(y∨z)

FNDP [src]

$$y \vee \left(x \wedge z\right)$$

y∨(x∧z)

¿Cómo usar?

Expresiones idénticas

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Expresión xyz∨x¬yz∨¬xy¬z∨xy¬z∨¬xyz

Solución