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The Boolean expression of the output y i...

The Boolean expression of the output y in terms of the input A and B for the circuit shown in figure.

A

`barAB+AbarB`

B

AB

C

`AB+barAbarB`

D

`AbarB+1`

Text Solution

Verified by Experts

The correct Answer is:
C

The output from the upper AND gate =`(barA.B)`
The output from the lower AND gate =`(A.barB)`
The output y of the NOR gate is
`y=bar((barA.B)+(A.barB))`
`=bar((barA.B))+bar((A.barB))=(A+barB)(barA+B)`
`=AbarA+AB+barBbarA+barB B=AB+barAbarB`
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