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Question

The simplified form of a logic function Y=A(B+C(¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯AB+AC)) will be

A
¯¯¯¯¯¯¯¯AB
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B
AB
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C
¯¯¯¯AB
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D
A¯¯¯¯B
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Solution

The correct option is B AB
Y=AB+AC(¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯AB+AC)

=AB+AC(¯¯¯¯¯¯¯¯AB.¯¯¯¯¯¯¯¯AC)

=AB+AC(¯¯¯¯A+¯¯¯¯B)(¯¯¯¯A+¯¯¯¯C)

=AB+AC¯¯¯¯B(¯¯¯¯A+¯¯¯¯C)=AB


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