2. Code and Comments (50 points) 2.1 Write a code that allows the user to input a five-digit number and store it in a vector. 2.2 Generate a cosine signal with the following properties: 2.2.1 The first digit of the vector will be the amplitude. 2.2.2 The second and third digit of the vector, placed next to each other creating a two-digit number, will be the frequency. 2.2.3 The fourth digit of the vector is multiplied by pi and will be the phase. 2.2.4 The fifth digit of the vector is the maximum time range. 2.3 Convolve the generated signal is section 2.2 with itself. 2.4 Calculate the Fourier transform of the generated signal in 2.2