Sr Examen
Lógica matemática/ nota¬b+b&c+nota&c+c&d

Expresión nota¬b+b&c+nota&c+c&d

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

    Ha introducido [src] 
    (b∧c)∨(c∧d)∨(c∧(¬a))∨((¬a)∧(¬b))
    $$\left(b \wedge c\right) \vee \left(c \wedge d\right) \vee \left(c \wedge \neg a\right) \vee \left(\neg a \wedge \neg b\right)$$
    Solución detallada
    $$\left(b \wedge c\right) \vee \left(c \wedge d\right) \vee \left(c \wedge \neg a\right) \vee \left(\neg a \wedge \neg b\right) = \left(b \wedge c\right) \vee \left(c \wedge d\right) \vee \left(\neg a \wedge \neg b\right)$$
    Simplificación [src]
    $$\left(b \wedge c\right) \vee \left(c \wedge d\right) \vee \left(\neg a \wedge \neg b\right)$$ 
    (b∧c)∨(c∧d)∨((¬a)∧(¬b))
    Tabla de verdad 
    +---+---+---+---+--------+
| a | b | c | d | 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 | 0      |
+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 1      |
+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0      |
+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1      |
+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0      |
+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0      |
+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1      |
+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+--------+
    FND [src]
    Ya está reducido a FND
    $$\left(b \wedge c\right) \vee \left(c \wedge d\right) \vee \left(\neg a \wedge \neg b\right)$$ 
    (b∧c)∨(c∧d)∨((¬a)∧(¬b))
    FNC [src]
    $$\left(c \vee \neg a\right) \wedge \left(c \vee \neg b\right) \wedge \left(b \vee c \vee \neg a\right) \wedge \left(b \vee c \vee \neg b\right) \wedge \left(b \vee d \vee \neg a\right) \wedge \left(b \vee d \vee \neg b\right) \wedge \left(c \vee d \vee \neg a\right) \wedge \left(c \vee d \vee \neg b\right)$$ 
    (c∨(¬a))∧(c∨(¬b))∧(b∨c∨(¬a))∧(b∨c∨(¬b))∧(b∨d∨(¬a))∧(b∨d∨(¬b))∧(c∨d∨(¬a))∧(c∨d∨(¬b))
    FNDP [src]
    $$\left(b \wedge c\right) \vee \left(c \wedge d\right) \vee \left(\neg a \wedge \neg b\right)$$ 
    (b∧c)∨(c∧d)∨((¬a)∧(¬b))
    FNCD [src]
    $$\left(c \vee \neg a\right) \wedge \left(c \vee \neg b\right) \wedge \left(b \vee d \vee \neg a\right)$$ 
    (c∨(¬a))∧(c∨(¬b))∧(b∨d∨(¬a))
    © Sr Examen