3. \(F = AB + C\) I. Draw the logic diagram for the function. (10 points) II. Derive the truth table for the function. (10 points) III. By inspection of the truth table derived in 3.II, above, what is the relationship between \(F_1(Q1)\) and \(F_2(Q2)\) and \(F(Q3)\)? (20 points) IV. Use a truth table to show that \(F_1(Q1)\) and \(F_2(Q2)\) and \(F(Q3)\) are equal. (10 points)
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