Expresión ABC∨AB¬C∨A¬BC∨A¬B¬C∨¬ABC∨ABC

Ha introducido [src]

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

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

Solución detallada

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

Simplificación [src]

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

a∨(b∧c)

Tabla de verdad

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

FND [src]

Ya está reducido a FND

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

a∨(b∧c)

FNC [src]

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

(a∨b)∧(a∨c)

FNCD [src]

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

(a∨b)∧(a∨c)

FNDP [src]

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

a∨(b∧c)

¿Cómo usar?

Expresiones idénticas

Expresión ABC∨AB¬C∨A¬BC∨A¬B¬C∨¬ABC∨ABC

Solución