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Lógica matemática/ BV¬B&(A&CVC)

Expresión BV¬B&(A&CVC)

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    Solución

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