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There are 2 questions.

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.

SOLUTION- 1) Given, Inputs - 0 1 2 3 4 5 6 7 (x,y,z) Output- 1 2 3 4 2 3 4 5 (A,B,C) Truth Table that defines the required relationship between inputs