1. Determine the output for all possible inputs using K-map. Please draw the K-map table and show the formula(boolean expression) based on the K-map possible outputs.

2. Draw a circuit using logic gates. You can use NOT, AND, OR, and XOR gates. (better using logic.ly so it is easy to understand).

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 Y3Y2Y1Y0 in a 2's complement system, design a circuit that takes the absolute value of this number and outputs Z3Z2Z1Z0. 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, IN0 on the DEB to represent Y3Y2Y1Y0 and OUT3, OUT2, OUT1, and OUTO on the DEB to represent Z3Z2Z1Z0