Consider a digital logic circuit that has three inputs, A, B, and C, and the output of the digital circuit is LOW only when a majority of the inputs are HIGH. Note that HIGH represents that the output...

Consider a digital logic circuit that has three inputs, A, B, and C, and the output of the digital circuit is LOW only when a majority of the inputs are HIGH. Note that HIGH represents that the output is 1, and LOW represents that the output is 0.
a) Interpret the problem to set up a truth table to describe its operation, relating the inputs and the outputs of the circuit.

b) Based on the truth table, write the standard sum-of-product (SOP) expression for the output function

c) Implement the logic circuit (sketch the logic circuit diagram) for the final simplified SOP expression using logic gates