A majority circuit is a combinational circuit whose output is equal to 1 if the input variables have more 1's than 0's. The output is 0 otherwise. (a) Design a 3-input majority circuit by finding the...

A majority circuit is a combinational circuit whose output is equal to 1 if the input variables have more 1's than 0's. The output is 0 otherwise. (a) Design a 3-input majority circuit by finding the circuit's truth table, Boolean equation and a logic diagram.