Write a MATLAB function the performs the operation of a half-adder, call it half_add. The function should have two inputs, a and b, and return two outputs, X and c. Then, write another function, call it full_add, that invokes half_add to perform the operation of a full adder. The function full_add should have three inputs, a, b and c_in, and return two outputs, s and c_out. Finally, write a program that uses the function full_add to find and display s and c_out for each possible combination of a, b, and c_in.