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Design a circuit to add two 2-bit binary numbers, and display the results of the addition as a 3-bit binary number, with the most significant bit be the carry out. To do this, you will use the four switches on your Breadboard Companion as your two 2-bit number inputs. Three of your lights will be used to represent the 3-bit output of your circuit. Complete a truth table for the expected output values on the lab data sheet attached. Use Karnaugh maps or other techniques to simplify the Boolean functions for the outputs, and design realizations of the circuit usinjg 1. only NAND gates 2. only NOR gates 3. AND, OR, and NOT gates. In addition to a schematic for each of the three circuits, write the revised Boolean equations for the all NAND and all NOR circuits. Identify the needed chip and pin numbers for each ofyour three logic circuits, using chips we have available in lab. Include your Karnaugh map simplifications (or your step by step simplifications) as part of your pre-lab. To be counted as on time, this must all be completed by the beginning of your lab session. Checkpoint 1: Demonstrate operation of your first circuit. Type of circuit 1: Propagation Delay of Circuit 1: Checkpoint 2: Demonstrate operation of your second circuit. Type of circuit 2: Pronanation. Delay of Circuit 2: Outputs Expected Inputs A2 A1B2 B1 Outputs As implemented Circuit 1 Circuit 2