Last Updated : 19 Nov, 2018

Let f(A, B) = A\’ + B. Simplified expression for function f(f(x + y, y)z) is :
(A) x\’ + z
(B) xyz
(C) xy\’ + z
(D) None of these


Answer: (C)

Explanation:
Simplified expression for given function \’g\’ is :

g = f( f(x + y, y), z)
g = f( ((x + y)’ + y), z)
g = f( (x’y’ + y), z)
g = f( ((y + y’) * (x’ + y)), z)
g = f( (1 * (x’ + y)), z)
g = f( (x’ + y), z)
g = (x’ + y)’ + z)
g = xy’ + z

 
Thus, option (C) is correct.

 
Please comment below if you find anything wrong in the above post.


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