What is the maximum number of different Boolean functions involving n Boolean…

Answer: The maximum number of different Boolean functions of n Boolean variables is 2^(2^n).

• Step 1: n Boolean variables produce 2^n distinct input combinations.

• Step 2: For each input combination the function can output either 0 or 1, so each function corresponds to a choice of 0/1 for each of the 2^n inputs.

• Step 3: The number of possible output patterns is therefore 2^(2^n), since there are 2 choices for each of the 2^n input rows.