Sr Examen

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  • Expresión:
  • !(!(!a*(b⊕c))*!(a*c))
  • (A∧B)↔(C→D)
  • (A⇒(D⇒C))⇒(A⇒(C⇒D))
  • (A→B)

  • Expresiones idénticas

  • d^¬a^(b∨c)^(b∨¬c∨¬d∨¬c^¬d)^(a∨¬b∨c)
  • d en el grado ¬a en el grado (b∨c) en el grado (b∨¬c∨¬d∨¬c en el grado ¬d) en el grado (a∨¬b∨c)
  • d¬a(b∨c)(b∨¬c∨¬d∨¬c¬d)(a∨¬b∨c)
  • d¬ab∨cb∨¬c∨¬d∨¬c¬da∨¬b∨c
  • d^¬a^b∨c^b∨¬c∨¬d∨¬c^¬d^a∨¬b∨c
Lógica matemática/ d^¬a^(b∨c)^(b∨¬c∨¬d∨¬c^¬d)^(a∨¬b∨c)

Expresión d^¬a^(b∨c)^(b∨¬c∨¬d∨¬c^¬d)^(a∨¬b∨c)

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

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