Using solely two-input AND gates and OR gates, implement a Hexadecimal Adder in a modular manner. 1. First, create a binary Full-adder module: a) Write down the binary full adder truth table b) Demonstrate you know how to use K-Maps to derive the SOP Boolean equations for Sum and Cout. c) Implement the obtained equations using ONLY AND and OR gates. Draw the resulting circuit. II. Now, create the Hexadecimal adder a) Using a block diagram representation of your full adder (corresponding to step I part c above) show how to connect enough instances of it to create a Hexadecimal adder (Circuit that is able to add one hexadecimal digit to another hexadecimal digit). Draw the resulting circuit