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Design a combinational circuit with three inputs, x,y and z, and three outputs, A,B,C. When the binary input is 0,1,2, or 3 , the binary output is one greater than the input. When the binary input is 4,5,6, or 7 , the binary output is two less than the input. 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. Design a 3-input majority circuit by finding the circuit's truth table, Boolean equation, and a logic diagram