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Sederhanakan $$$\left(A \cdot B\right) + \left(B \cdot C\right) + \left(A \cdot \overline{C}\right)$$$
Kalkulator terkait: Kalkulator Tabel Kebenaran
Masukan Anda
Sederhanakan ekspresi Boolean $$$\left(A \cdot B\right) + \left(B \cdot C\right) + \left(A \cdot \overline{C}\right)$$$.
Solusi
Terapkan hukum konsensus $$$\left(x \cdot y\right) + \left(\overline{x} \cdot z\right) + \left(y \cdot z\right) = \left(x \cdot y\right) + \left(\overline{x} \cdot z\right)$$$ dengan $$$x = C$$$, $$$y = B$$$, dan $$$z = A$$$:
$${\color{red}\left(\left(A \cdot B\right) + \left(B \cdot C\right) + \left(A \cdot \overline{C}\right)\right)} = {\color{red}\left(\left(C \cdot B\right) + \left(\overline{C} \cdot A\right)\right)}$$Jawaban
$$$\left(A \cdot B\right) + \left(B \cdot C\right) + \left(A \cdot \overline{C}\right) = \left(C \cdot B\right) + \left(\overline{C} \cdot A\right)$$$
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