Expresión (!(a&b)&cva&b&!cva&c)&(!avb)

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución

Ha introducido [src]

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

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

Solución detallada

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

Simplificación [src]

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

(a∧b)∨(c∧(¬a))

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 | 0      |
+---+---+---+--------+
| 1 | 1 | 0 | 1      |
+---+---+---+--------+
| 1 | 1 | 1 | 1      |
+---+---+---+--------+

FNC [src]

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

(a∨c)∧(b∨c)∧(a∨(¬a))∧(b∨(¬a))

FNDP [src]

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

(a∧b)∨(c∧(¬a))

FNCD [src]

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

(a∨c)∧(b∨(¬a))

FND [src]

Ya está reducido a FND

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

(a∧b)∨(c∧(¬a))

¿Cómo usar?

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Expresiones con funciones

Expresión (!(a&b)&cva&b&!cva&c)&(!avb)

Solución