Expresión abcvab¬cva¬bcv¬abcv¬a*b¬c

Ha introducido [src]

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

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

Solución detallada

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

Simplificación [src]

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

b∨(a∧c)

Tabla de verdad

+---+---+---+--------+
| a | b | c | 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

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

b∨(a∧c)

FNDP [src]

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

b∨(a∧c)

FNCD [src]

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

(a∨b)∧(b∨c)

FNC [src]

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

(a∨b)∧(b∨c)

¿Cómo usar?

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Expresión abcvab¬cva¬bcv¬abcv¬a*b¬c

Solución