Implement code convertor Y=(X+4) mod 8 using decoder and encoder. Y and X are 3-bit numbers.

Pick two positive integer numbers. Show that if you multiply them, then you will get a negative integer as your result because of overflow. Therefore, you need to demonstrate what happens when overflow happens with two’s complement integer multiplication. You have a 4-bit processor, and the number representation is two’s complement.

HAS TO BE SOLVED BY USING MICROSHIP STUDIO with the ATmega2560 device

PYTHON/JUPYTER NOTEBOOKS  given the attached fourier data : # Measurements of fourier data    data = [        [-2.00, -9.37], [-1.00, 10.00], [-1.14, 10.83], [-0.29, -13.88],        [0.00, -18.00], [0.57, -1.83], [1.00, 14.00], [1.43, 14.5],        [2.00, 0.00], [2.29, -1.38], [3.00, 28.00], [3.14, 35.64],        [4.00, 37.88], [5.00, -23.00], [4.86, -17.52], [5.71, -14.63],        [6.00, -1.00], [6.50, -15.00], [6.57, -1.73], [7.00, 12.00],        [7.43, 5.97], [7.50, 2.00], [8.29, 22.78], [9.00, 1.00],        [9.14, -6.41], [10.0, -9.37] Fit the data with the linear least-squares fit method using Fourier basis functions. Use 15 pairs of sines and cosines and create the plots/results below. x_vec = [ 1.591 -0.42 5.684 -5.112 -2.257 0.36 4.546 -7.626 0.341 -4.391 1.092 1.878 4.286 7.783 -3.427 -4.608 1.763 -0.957 -1.751 3.441 2.857 -2.624 2.96 0.911 -2.538 2.782 -1.943 -8.819 1.635 2.123 2.123] Local Relative Error (discarding y values < 0.1): mean [%] = 17.08 std [%] = 89.43…