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

independent of one variable.
independent of two variables.
independent of three variables.
dependent on all the variables.

Correct answer: independent of two variables.

Solution

The listed minterms can be grouped so that the function depends only on two of the four variables. This means two variables do not affect the output, so the function is independent of two variables.

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