Q.Draw the logic circuit for the expression $Y = AC + \overline{C}$ using only basic gates.

The expression $Y = AC + \overline{C}$ is realised with the three basic gates (AND, OR, NOT): an AND gate forms $AC$, a NOT gate forms $\overline{C}$, and an OR gate combines them. …

[!TLDR]

Realise $Y = AC + \overline{C}$ with basic gates: AND (A, C) → $AC$; NOT (C) → $\overline{C}$; OR combines them. (It simplifies to $Y = A + \overline{C}$.)

"Basic gates" means the fundamental AND, OR and NOT gates. The expression is a sum of two terms, one a product $AC$ and the other a single complemented literal $\overline{C}$, so an AND-OR arrangement with one inverter is needed.

Stage by stage:

1. Term $AC$: apply A and C to an AND gate.
2. Term $\overline{C}$: apply C to a NOT gate (inverter).
3. Output: apply $AC$ and $\overline{C}$ to an OR gate; its output is $Y = AC + \overline{C}$. …