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Authors:
Linda Null ,julia Lobur
Chapter:
Boolean Algebra And Digital Logic
Exercise:
Exercises
Question:3 | ISBN:9780763704445 | Edition: 3

Question

3. Using DeMorgan’s Law, write an expression for the complement of F if

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Answer

Given expression:

F(x,y,z)=x(\bar{y}+z)

The completemen of F' is as follows:

F\overline{(x,y,z)}=\overline{x(\bar{y}+z)}

F\overline{(x,y,z)}=\bar{x}+\overline{(\bar{y}+z)}

F\overline{(x,y,z)}=\bar{x}+\bar{y}z

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Discussions

dulam shiva

According to the Demorgans law of identity : (x+y)'=x'y'   and (xy)'=x'+y'

F(x,y,z)= x(y'+z)

F'         = (x(y'+z))'

            = x'+(y'+z)'

            = x'+(y')'z'

            = x'+yz'  

Post the discussion to improve the above solution.