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Question

The truth table for the following logic circuit is:


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Solution

The correct option is D

Explanation for the correct answer:-

Option (D)

Step 1 Calculating the truth table for the following circuit,

From De Morgan's law we know,

A.B¯=A¯+B¯A+B¯=A¯.B¯

From both the laws, we can derive the equation from the figure,

y=AB+A¯B¯y=AB¯.A¯By=A¯+B.B¯+A

Using Distributive law,

y=A.¯A+A¯.B¯+A.B+BB¯y=A.B+A¯.B¯ Since, A.¯A=0B¯B=0

A

B

y=A.B+A¯.B¯

0

0

1

0

1

0

1

0

0

1

1

1

Hence option D is the correct option.


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