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Consider the following boolean function of four variables $f(w,x,y,z) = \Sigma(1,3,4,6,9,11,12,14)$, the function is

  1. Independent of one variable
  2. Independent of two variables
  3. Independent of three variables
  4. Dependent on all variables
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2 Answers

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12 votes
Best answer

= XZ' +X'Z

Therefore  the result is independent of 2 variables

Answer is Option B

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f(w,x,y,z)=Σ(1,3,4,6,9,11,12,14).

K-Map of given function - 

  1 1  
1     1
1     1
  1 1  

f(w, x, y, z) = xz' + x'z 

Ans- B. Independent of two variables. 

Answer:

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