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Given a 3-bit number XYZ in a 2s complement system, design a circuit that takes the absolute value of this number and outputs ABC. Therefore,

Given a 3-bit number XYZ in a 2s complement system, design a circuit that takes the absolute value of this number and outputs ABC. Therefore, if the input is positive the output is the same. If the input is negative, the output is positive. Assume that the input combination XYZ = 100 never shows up and is irrelevant. What is the most efficient way to handle that condition? Show all equations and circuit diagrams. (4 points)

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