Expresión ab¬c∨a¬bc∨a¬b¬c∨¬a¬bc∨¬a¬b¬c

Ha introducido [src]

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

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

Solución detallada

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

Simplificación [src]

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

(¬b)∨(a∧(¬c))

Tabla de verdad

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

FNC [src]

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

(a∨(¬b))∧((¬b)∨(¬c))

FNDP [src]

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

(¬b)∨(a∧(¬c))

FNCD [src]

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

(a∨(¬b))∧((¬b)∨(¬c))

FND [src]

Ya está reducido a FND

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

(¬b)∨(a∧(¬c))

¿Cómo usar?

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Expresión ab¬c∨a¬bc∨a¬b¬c∨¬a¬bc∨¬a¬b¬c

Solución