Examveda

The complement of the Boolean expression $${\text{AB}}\left( {\overline {\text{B}} {\text{C}} + {\text{AC}}} \right)$$

A. $$\left( {\overline {\text{A}} + \overline {\text{B}} } \right) + \left( {{\text{B}} + \overline {\text{C}} } \right)\left( {\overline {\text{A}} + \overline {\text{C}} } \right)$$

B. $$\left( {\overline {\text{A}} .\overline {\text{B}} } \right) + \left( {{\text{B}}\overline {\text{C}} + \overline {{\text{AC}}} } \right)$$

C. $$\left( {\overline {\text{A}} + \overline {\text{B}} } \right).\left( {{\text{B}} + \overline {\text{C}} } \right)\left( {\overline {\text{A}} + \overline {\text{C}} } \right)$$

D. $$\left( {{\text{A}} + {\text{B}}} \right).\left( {\overline {\text{B}} + {\text{C}}} \right)\left( {{\text{A}} + {\text{C}}} \right)$$

Answer: Option A


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