Please design the logic circuit as well, its the most important part. thank you

2. 2 Design of a full subtractor circuit Next we will design a u subtractor circuit that takes two binary digits X (minuend), Y (subtrahend) and a borrow bit B as inputs. The circuit produces a difference bit D and a borrow bit Bo as outputs. Complete the following truth table of the full subtractor XYB 001 010 011 100 101 110 Table 2-2 Truth table of the full subtractor Derive Boolean equations of the outputs D and B, from the completed truth table 2-2, simplify them using Boolean algebra theorems or Karnaugh maps if necessary D = f(X,Y,B.) B, = f(X,Y,B.) Design a logic circuit that has three inputs X.Y and B. and two outputs, D and Bo using available logic gates. Draw the logic diagram of the circit. Test the circuit exhaustively by having X, Y and Bi go successively through all possible combinations. Take a screenshot of the output values for every possible input combination