Sr Examen
Lógica matemática/ NOT(a)*NOT(b)*NOT(c)+a*NOT(b)*NOT(c)+a*NOT(b)*c+a*b*NOT(c)+a*b*NOT(c)

Expresión NOT(a)*NOT(b)*NOT(c)+a*NOT(b)*NOT(c)+a*NOT(b)*c+a*b*NOT(c)+a*b*NOT(c)

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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