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Lógica matemática/ ABCD+DAC+CDA

Expresión ABCD+DAC+CDA

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    Solución

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