Expresión abc¬dva¬bc¬dv¬abc¬dv¬a¬bc¬dv¬ab¬c¬dv¬a¬b¬c¬d

Ha introducido [src]

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

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

Solución detallada

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

Simplificación [src]

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

(¬d)∧(c∨(¬a))

Tabla de verdad

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

FND [src]

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

(c∧(¬d))∨((¬a)∧(¬d))

FNDP [src]

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

(c∧(¬d))∨((¬a)∧(¬d))

FNCD [src]

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

(¬d)∧(c∨(¬a))

FNC [src]

Ya está reducido a FNC

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

(¬d)∧(c∨(¬a))

¿Cómo usar?

Expresiones idénticas

Expresiones con funciones

Expresión abc¬dva¬bc¬dv¬abc¬dv¬a¬bc¬dv¬ab¬c¬dv¬a¬b¬c¬d

Solución