1. Compute the convolution \( \mathrm{y}[\mathrm{n}]=\mathrm{x}[\mathrm{n}] * \mathrm{~h}[\mathrm{n}] \) where;
(a) \( x[n]=\{0,0,1,2,4,0,0\} \) and \( h[n]=\{0,0,1,1,1,1,0,0\} \)
(b) \( x[n]=\{0,0,1,2,4,0,0\} \) and \( h[n] \pm x[n] \)
2. Find the output \( y[n] \) for the impulse response and input signal shown in Figures (a) and (b) below