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Lógica matemática/ AB(NOT(C))+(NOT(A))(NOT(B))(NOT(C))+NOT(A)B(NOT(C))+A(NOT(B))(NOT(C))

Expresión AB(NOT(C))+(NOT(A))(NOT(B))(NOT(C))+NOT(A)B(NOT(C))+A(NOT(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∧(¬b)∧(¬c))∨(b∧(¬a)∧(¬c))∨((¬a)∧(¬b)∧(¬c))
    $$\left(a \wedge b \wedge \neg c\right) \vee \left(a \wedge \neg b \wedge \neg c\right) \vee \left(b \wedge \neg a \wedge \neg c\right) \vee \left(\neg a \wedge \neg b \wedge \neg c\right)$$
    Solución detallada
    $$\left(a \wedge b \wedge \neg c\right) \vee \left(a \wedge \neg b \wedge \neg c\right) \vee \left(b \wedge \neg a \wedge \neg c\right) \vee \left(\neg a \wedge \neg b \wedge \neg c\right) = \neg c$$
    Simplificación [src]
    $$\neg c$$ 
    ¬c
    Tabla de verdad 
    +---+---+---+--------+
| a | b | c | result |
+===+===+===+========+
| 0 | 0 | 0 | 1      |
+---+---+---+--------+
| 0 | 0 | 1 | 0      |
+---+---+---+--------+
| 0 | 1 | 0 | 1      |
+---+---+---+--------+
| 0 | 1 | 1 | 0      |
+---+---+---+--------+
| 1 | 0 | 0 | 1      |
+---+---+---+--------+
| 1 | 0 | 1 | 0      |
+---+---+---+--------+
| 1 | 1 | 0 | 1      |
+---+---+---+--------+
| 1 | 1 | 1 | 0      |
+---+---+---+--------+
    FND [src]
    Ya está reducido a FND
    $$\neg c$$ 
    ¬c
    FNDP [src]
    $$\neg c$$ 
    ¬c
    FNCD [src]
    $$\neg c$$ 
    ¬c
    FNC [src]
    Ya está reducido a FNC
    $$\neg c$$ 
    ¬c
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