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The following logic function is given as a product of maxterms F (A, B, C, D) = M0*M1*M2*M4*M5*M6*M13*M15 a) Obtain the minimal POS expression of the given function Fusing KMaps. (5 points) b) Give all the static-0 hazard input pair(s) where a transition between them would create a timing hazard. (2 points) c) Draw the timing diagram showing the hazard for one of the input pairs cases. Assume all gate delays are equal. (8 points) d) Obtain the hazard free POS expression of F. (4 points) e) Assume that you had the option of increasing the delay of one of the gates in the circuit of F. Show which gate's delay you would increase and show how that may fix the timing hazard by showing an updated timing diagram. (6 points)