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Lógica matemática/ AC(C(!C)+BB)(C+(!B)C)

Expresión AC(C(!C)+BB)(C+(!B)C)

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    Solución

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