GATE | Gate IT 2005 | Question 48

The circuit shown below implements a 2-input NOR gate using two 2-4 MUX (control signal 1 selects the upper input). What are the values of signals x, y and z?di
(A) 1, 0, B
(B) 1, 0, A
(C) 0, 1, B
(D) 0, 1, A


Answer: (D)

Explanation:
In MUX1, equation is : g = Az + Bz’
In MUX2, equation is : f = xg + yg’ = x(Az + Bz’) + y (Az + Bz’)’

Function ‘f’ should be equal to (A + B)’ .

Using hit and try method, put x = 0, y = 1 and z = A.
f = 0(AA + BA’) + 1(AA + BA’)’
f = (A + A’B)’
f = (A + B)’

 
Thus, option (D) is correct.

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


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