As a new digital designer, your job is to develop a calculator for a number system. In this particular task, given a 4-bit number X3X2X1X, in a 2's complement system, design a circuit that takes the absolute value of this number and outputs YaYaYaYo. Therefore, if the input is positive the output is the same as the input. If the input is negative, the output is positive. As an example, you may use IN3, IN2, IN1, INO on the DEB to represent XXXX and OUT3, OUT2, OUT1, and OUTO on the DEB to represent YYY:Yo. 1) Knowing about the 2's complement number system, how can you implement digit Y, immediately? Explain your reasoning. 2) Assume that the input combination X3X2X1X = 1000 never shows up and is irrelevant. Why is it useful or practical to make this assumption? What is the most efficient way to handle that condition?