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Help me solve this The output of the given logic circuit is :

 The output of the given logic circuit is : 

  • Option 1)

    A\bar{B} + \bar{A}B

  • Option 2)

    A\bar{B}

  • Option 3)

    AB + \bar{AB}

  • Option 4)

    \bar{A}B

Answers (1)
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D'morgan's Theorem -

1)     \overline{A+B }= \bar{A}\cdot \bar{B}

2)      \overline{A\cdot B }= \bar{A}+ \bar{B}

3)    \overline{\bar A+ \bar B }= {A}\cdot {B}

4)    \overline{\bar A\cdot \bar B }= {A}+{B}

- wherein

A and B are input.

Y=\overline{\left ( \bar{A}+AB \right )\cdot \left ( \overline{AB}+B\right )}

or Y =\overline{A\cdot \overline{AB}}+\overline{\overline{AB}+B}

             =A.\overline{AB}+\left ( AB.\bar{B} \right )

             =A\left ( \bar{A}+\bar{B} \right )+AB\cdot \bar{B}

       Y=A\bar{B}+O

         Y=A\bar{B}

              

 


Option 1)

A\bar{B} + \bar{A}B

Option 2)

A\bar{B}

Option 3)

AB + \bar{AB}

Option 4)

\bar{A}B

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