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The logic circuit and its truth table a...

The logic circuit and its truth table are given, what is the gate `X` in the diagram
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From the truth table we note that Y+B i.e., it is for OR gate (or)
`A+X=A+B=A+B.(A+barA)("":.A+barA)=1)`
then, `A+X=A+B.A+B.barA`
`=A.(1+B)+barA.B=A+barA.B`
So `X=A+barA.B`, which is AND gate with inputs as `barAandB`
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