a$)$ Write a behavioural VHDL code to implement a simple full adder circuit. Explain the logic and algorithm by adding meaningful and explanatory comments in the code. Capture the screenshot of the source code in the Vivado software environment. $(4$ marks$)$

b$)$ Synthesize and implement the design. Capture the screenshots of the schematic diagram produced by Vivado. You may combine a$)$ and b$)$ in one screenshot. $(3$ marks$)$

c$)$ Write a test bench code to run the simulation. Capture the screenshot of the test bench code in Vivado development environment. $(3$ marks$)$

d$)$ Capture the screenshot of the simulation output, and write down the interpretation of the output, and compare them with the theoretical values.