7. Design a black box that has a 4-bit input X and a 1-bit output Y. Y is 1 when the input is a prime number. Note, by definition input values 0 and 1 are NOT prime. a. Create the truth table for the black box. b. WITHOUT minimizing the equation, implement Y as an 2-level AND-OR gate network. c. Implement the MINIMIZED expression for Y as a NOR-NOR gate network