You need to find out the min-term of the circuit.
Question: A digital circuit has four inputs (A, B, C, D) and three outputs (X, Y, Z). XYZ represents a binary number whose value equals the number of 1's at the input. For example if ABCD = 1011 then XYZ = 011.
Find the min-term expansions for X, Y, and Z (i.e. the Standard SOP expression for each). Put your final answer in short-hand notation (e.g. Sum of minterms(1, 4, 6)).
Rationalize your answer by math, measurement or example, something convincing.