State and prove demorgan's second theorem, Computer Engineering

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State and prove Demorgan's second theorem
 

Proof: Demorgan's second theorem

 620_demorgen second.png= A‾ + B‾

The two sides of the equation here 620_demorgen second.png  = A‾ + B‾ is represented through the logic diagrams demonstarted in fig.(c) and (d).

214_State and prove Demorgans second theorem.png

The equality of the logic diagrams of fig.(c) and (d) is proved through the truth table illustrated in table

Inputs

Intermediate Values

Outputs

A

B

A .B

A‾

B‾

620_demorgen second.png

A‾ + B‾

0

0

0

1

1

1

1

0

1

0

1

0

1

1

1

0

0

0

1

1

1

1

1

1

0

0

0

0


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