## 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: = A‾. B‾

Proof: The two sides of the equation i.e. = is represented with logic diagrams demonstrated in fig.(a) and (b)

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 A‾ B‾ 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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