Expresión ¬a&¬b&¬cv¬a&¬b&cv¬a&b&cva&¬b&cva&b&¬cva&b&c

Ha introducido [src]

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

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

Solución detallada

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

Simplificación [src]

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

c∨(a∧b)∨((¬a)∧(¬b))

Tabla de verdad

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

FNC [src]

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

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

FNCD [src]

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

(a∨c∨(¬b))∧(b∨c∨(¬a))

FNDP [src]

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

c∨(a∧b)∨((¬a)∧(¬b))

FND [src]

Ya está reducido a FND

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

c∨(a∧b)∨((¬a)∧(¬b))

¿Cómo usar?

Expresiones idénticas

Expresión ¬a&¬b&¬cv¬a&¬b&cv¬a&b&cva&¬b&cva&b&¬cva&b&c

Solución