The number of gate inputs, required to realize expression \(ABC+A…

Assumption: complemented literals (B' and F') are available as inputs. If complements must be generated with NOT gates, include them separately.

Count inputs for each product term:

• ABC: 3 inputs

• A B' C D: 4 inputs

• E F': 2 inputs

• A D: 2 inputs

Total inputs to AND gates = 11 (3 + 4 + 2 + 2).

OR gate to combine the four product outputs needs 4 inputs.

Total gate inputs = 11 + 4 = 15.

Note: If complemented literals are not available and must be produced with NOT gates, add one input per NOT (two NOT gates for B and F), giving a total of 17.