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$$\text{Main Circuit Expression: } C = \overline{A + \bar{B}} = \bar{A} \cdot \overline{\overline{B}} = \bar{A} \cdot B$$
$$\text{Option (A) Circuit Expression: } C = \overline{A \cdot \bar{B}} = \bar{A} + B$$
$$\text{Option (B) Circuit Expression: } C = \overline{A + B}$$
$$\text{Option (C) Circuit Expression: } C = \overline{\bar{A} \cdot B}$$
$$\text{Option (D) Circuit Expression: } C = \bar{A} \cdot B$$
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