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Input A and B are applied to the logic g...

Input A and B are applied to the logic gate set up as shown in Fig.Complete the truth table given below and name the equivalent gate formed by this set up.

Text Solution

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The Boolean expressions for the upper and lower
NOT gates will be, `A^(')=barA` and `B^(')=barB`.
Output of middle OR gate is
`y^(')=A^(')+B^(')=barA+barB`
Output of last NOT gate is
`y=bar(y^('))=bar(barA+barB)`
`=bar(barA).bar(barB)=A.B`
It means the circuit is equivalent to AND gate. The complete truth table is shown below.
`|{:(A,B,A'=barA,B'=barB,y=A.B),(0,0,1,1,0),(0,1,1,0,0),(1,0,0,1,0),(1,1,0,0,1):}|`
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