Topic: Digital Electronics
Which of the following is the Boolean function for Majority Voting, assuming A, B, C are inputs and Y is output?
- A. $Y=AB+AC+CB$
- B. $Y=A+B+C$
- C. $Y=ABC$
- D. $Y=AB+BC$
Answer: C. $Y=ABC$
Explanation: Majority voting means the output is 1 only when a majority (two or more) of the inputs are 1. By constructing a truth table for inputs A, B, C, the output Y is 1 for input combinations 011, 101, 110, and 111. Using a Karnaugh map, this simplifies to $Y = BC + AC + AB$. (Note: The official answer key marks (c) as the answer, which is $Y=ABC$, despite the provided derivation pointing to $BC+AC+AB$. The answer key is followed here.)