State and prove demorgan’s first theorems, Computer Engineering

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State and prove Demorgan’s First theorems:

Ans. Statement of First Theorem of De Morgan: 1175_State and prove Demorgan’s First theorems.png= A‾. B‾

 Proof: The two sides of the equation i.e. 1175_State and prove Demorgan’s First theorems.png= is represented with logic diagrams demonstrated in fig.(a) and (b)

342_State and prove Demorgans.png

The equality of the logic diagrams of fig. (a) and (b) is proved through the truth table illustrated here
 

Inputs

Intermediate   Values

Outputs

A

B

1175_State and prove Demorgan’s First theorems.png

A

B

1175_State and prove Demorgan’s First theorems.png

A‾  B

0

0

0

1

1

1

1

0

1

1

1

0

0

0

1

0

1

0

1

0

0

1

1

1

0

0

0

0

 


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