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Simplifica $$$\left(A \cdot B\right) + \left(B \cdot C\right) + \left(A \cdot \overline{C}\right)$$$
Calculadora relacionada: Calculadora de tablas de verdad
Tu entrada
Simplifica la expresión booleana $$$\left(A \cdot B\right) + \left(B \cdot C\right) + \left(A \cdot \overline{C}\right)$$$.
Solución
Aplica la ley del consenso $$$\left(x \cdot y\right) + \left(\overline{x} \cdot z\right) + \left(y \cdot z\right) = \left(x \cdot y\right) + \left(\overline{x} \cdot z\right)$$$ con $$$x = C$$$, $$$y = B$$$ y $$$z = A$$$:
$${\color{red}\left(\left(A \cdot B\right) + \left(B \cdot C\right) + \left(A \cdot \overline{C}\right)\right)} = {\color{red}\left(\left(C \cdot B\right) + \left(\overline{C} \cdot A\right)\right)}$$Respuesta
$$$\left(A \cdot B\right) + \left(B \cdot C\right) + \left(A \cdot \overline{C}\right) = \left(C \cdot B\right) + \left(\overline{C} \cdot A\right)$$$
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