The Boolean equation X = [ ( A + overline B )( B + C ) ]B can be simplified to

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This question belongs to Electronics And Communications Engineering Digital Electronics

Digital Electronics

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The Boolean equation $${\text{X}} = \left[ {\left( {{\text{A}} + \overline {\text{B}} } \right)\left( {{\text{B}} + {\text{C}}} \right)} \right]{\text{B}}$$ can be simplified to

A) $${\text{X}} = \overline {\text{A}} {\text{B}}$$ B) $${\text{X}} = {\text{A}}\overline {\text{B}} $$ C) $${\text{X}} = {\text{AB}}$$ D) $${\text{X}} = \overline {\text{A}} \overline {\text{B}} $$

Answer & Solution

Correct Answer: Option C

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The Boolean equation $${\text{X}} = \left[ {\left( {{\text{A}} + \overline {\text{B}} } \right)\left( {{\text{B}} + {\text{C}}} \right)} \right]{\text{B}}$$ can be simplified to

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