Expresión (¬av¬bv¬c)&(¬av¬bvc)&(¬avbvc)&(av¬bvc)&(avbvc)

Ha introducido [src]

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

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

Solución detallada

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

Simplificación [src]

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

c∧((¬a)∨(¬b))

Tabla de verdad

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

FNC [src]

Ya está reducido a FNC

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

c∧((¬a)∨(¬b))

FND [src]

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

(c∧(¬a))∨(c∧(¬b))

FNDP [src]

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

(c∧(¬a))∨(c∧(¬b))

FNCD [src]

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

c∧((¬a)∨(¬b))

¿Cómo usar?

Expresiones idénticas

Expresiones con funciones

Expresión (¬av¬bv¬c)&(¬av¬bvc)&(¬avbvc)&(av¬bvc)&(avbvc)

Solución