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+1 vote
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What would be the complement of the following:

(a)  A’(BC’ + B’C)

(b)  xy + y’z + z’z ?

1 Answer

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Best answer

(a) A’(BC’ + B’C) = (A’(BC’ + B’C))’ 

= ((A’)’(BC’ + B’C)’) 

= ((A’)’((BC’)’ + (B’C)’) 

= ((A)((B’ C) + (BC’)) 

= A + (B’+ C)(B +C’)

(b) xy + y’z + z’z = (xy + y’z + z’z)’

= (xy)’(y’z)’(z’z)’ 

= (x’ + y’)(y ‘’+ z’)(z’’ + z’) 

= (x’ + y)(y + z’)(z + z’)

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