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GATE CSE 2002 | Question: 2-3

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Let $f(A,B) = A'+B$. Simplified expression for function $f(f(x+y, y), z)$ is

  1. $x' + z$
  2. $xyz$
  3. $xy' + z$
  4. None of the above
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$f(f(x+y, y), z) = f((x+y)' +y), z)$

$=((x+y)' + y)' + z$

$= (x+y).y' + z (\because (a+b)' = a'.b')$

$= xy' + z$

Correct Answer: $C$
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Consider the following logic circuit whose inputs are functions $f_1, f_2, f_3$ and output is $f$Given that$f_1(x,y,z) = \Sigma (0,1,3,5)$$f_2(x,y,z) = \Sigma (6,7),$ and...
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