Expresión ¬(a∨b1)∨b2∨c

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Solución

Ha introducido [src]

b2∨c∨(¬(a∨b1))

b_{2} \vee c \vee \neg \left(a \vee b_{1}\right)

Solución detallada

\neg \left(a \vee b_{1}\right) = \neg a \wedge \neg b_{1}

b_{2} \vee c \vee \neg \left(a \vee b_{1}\right) = b_{2} \vee c \vee \left(\neg a \wedge \neg b_{1}\right)

Simplificación [src]

b_{2} \vee c \vee \left(\neg a \wedge \neg b_{1}\right)

b2∨c∨((¬a)∧(¬b1))

Tabla de verdad

+---+----+----+---+--------+
| a | b1 | b2 | c | result |
+===+====+====+===+========+
| 0 | 0  | 0  | 0 | 1      |
+---+----+----+---+--------+
| 0 | 0  | 0  | 1 | 1      |
+---+----+----+---+--------+
| 0 | 0  | 1  | 0 | 1      |
+---+----+----+---+--------+
| 0 | 0  | 1  | 1 | 1      |
+---+----+----+---+--------+
| 0 | 1  | 0  | 0 | 0      |
+---+----+----+---+--------+
| 0 | 1  | 0  | 1 | 1      |
+---+----+----+---+--------+
| 0 | 1  | 1  | 0 | 1      |
+---+----+----+---+--------+
| 0 | 1  | 1  | 1 | 1      |
+---+----+----+---+--------+
| 1 | 0  | 0  | 0 | 0      |
+---+----+----+---+--------+
| 1 | 0  | 0  | 1 | 1      |
+---+----+----+---+--------+
| 1 | 0  | 1  | 0 | 1      |
+---+----+----+---+--------+
| 1 | 0  | 1  | 1 | 1      |
+---+----+----+---+--------+
| 1 | 1  | 0  | 0 | 0      |
+---+----+----+---+--------+
| 1 | 1  | 0  | 1 | 1      |
+---+----+----+---+--------+
| 1 | 1  | 1  | 0 | 1      |
+---+----+----+---+--------+
| 1 | 1  | 1  | 1 | 1      |
+---+----+----+---+--------+

FNDP [src]

b_{2} \vee c \vee \left(\neg a \wedge \neg b_{1}\right)

b2∨c∨((¬a)∧(¬b1))

FNCD [src]

\left(b_{2} \vee c \vee \neg a\right) \wedge \left(b_{2} \vee c \vee \neg b_{1}\right)

(b2∨c∨(¬a))∧(b2∨c∨(¬b1))

FND [src]

Ya está reducido a FND

b_{2} \vee c \vee \left(\neg a \wedge \neg b_{1}\right)

b2∨c∨((¬a)∧(¬b1))

FNC [src]

\left(b_{2} \vee c \vee \neg a\right) \wedge \left(b_{2} \vee c \vee \neg b_{1}\right)

(b2∨c∨(¬a))∧(b2∨c∨(¬b1))

¿Cómo usar?

Expresiones idénticas

Expresión ¬(a∨b1)∨b2∨c

Solución