Question: 2. [36 pts total] Consider a module (i.e., circuit) whose output Y is TRUE when a majority of its 3 inputs (A, B, and

2. [36 pts total] Consider a module (i.e., circuit) whose output Y is TRUE when a majority of its 3 inputs (A, B, and C) are TRUE. So, the output is TRUE when at least two of its inputs are TRUE. The overall module looks as shown below. Recall that this is called the "black box" representation of this circuit, showing only the interface (inputs and outputs). ABC C Majority Circuit Y (a) [10 pts] Write a truth table for this function. (b) [10 pts] Write a minimized equation for this function. (c) [16 pts] Sketch a circuit that implements this function using a minimum number of gates. Remember to use the circuit schematic rules discussed in class. Messy, difficult to read circuits will lose points.

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