INPUT OUTPUT y a b d e f g 0 0 1 1 1 1 1 1 0 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 1. Write out the seven logical statements (Boolean equations) for each of the outputs in terms of the two inputs y and z. 2. Use the Boolean algebra properties to reduce these equations and show that all seven outputs can be implemented with a logical circuit consisting of exactly: (a) 2 inverters (b) 2 OR gates (c) 1 AND gate