Expresión (B∨A∧C∨¬A∧¬C)∧(¬A∨B∧C∨¬B∧¬C)∧(¬A∨¬B∨¬C)

Ha introducido [src]

((¬a)∨(¬b)∨(¬c))∧(b∨(a∧c)∨((¬a)∧(¬c)))∧((¬a)∨(b∧c)∨((¬b)∧(¬c)))

$$\left(b \vee \left(a \wedge c\right) \vee \left(\neg a \wedge \neg c\right)\right) \wedge \left(\left(b \wedge c\right) \vee \left(\neg b \wedge \neg c\right) \vee \neg a\right) \wedge \left(\neg a \vee \neg b \vee \neg c\right)$$

Solución detallada

$$\left(b \vee \left(a \wedge c\right) \vee \left(\neg a \wedge \neg c\right)\right) \wedge \left(\left(b \wedge c\right) \vee \left(\neg b \wedge \neg c\right) \vee \neg a\right) \wedge \left(\neg a \vee \neg b \vee \neg c\right) = \neg a \wedge \left(b \vee \neg c\right)$$

Simplificación [src]

$$\neg a \wedge \left(b \vee \neg c\right)$$

(¬a)∧(b∨(¬c))

Tabla de verdad

+---+---+---+--------+
| a | b | c | result |
+===+===+===+========+
| 0 | 0 | 0 | 1      |
+---+---+---+--------+
| 0 | 0 | 1 | 0      |
+---+---+---+--------+
| 0 | 1 | 0 | 1      |
+---+---+---+--------+
| 0 | 1 | 1 | 1      |
+---+---+---+--------+
| 1 | 0 | 0 | 0      |
+---+---+---+--------+
| 1 | 0 | 1 | 0      |
+---+---+---+--------+
| 1 | 1 | 0 | 0      |
+---+---+---+--------+
| 1 | 1 | 1 | 0      |
+---+---+---+--------+

FNDP [src]

$$\left(b \wedge \neg a\right) \vee \left(\neg a \wedge \neg c\right)$$

(b∧(¬a))∨((¬a)∧(¬c))

FNC [src]

Ya está reducido a FNC

$$\neg a \wedge \left(b \vee \neg c\right)$$

(¬a)∧(b∨(¬c))

FNCD [src]

$$\neg a \wedge \left(b \vee \neg c\right)$$

(¬a)∧(b∨(¬c))

FND [src]

$$\left(b \wedge \neg a\right) \vee \left(\neg a \wedge \neg c\right)$$

(b∧(¬a))∨((¬a)∧(¬c))

¿Cómo usar?

Expresiones idénticas

Expresión (B∨A∧C∨¬A∧¬C)∧(¬A∨B∧C∨¬B∧¬C)∧(¬A∨¬B∨¬C)

Solución