a) Design and implement a circuit with three inputs ( x_1, x_2 and x_3 ) and two outputs: t_0 (which represents 2^0), and t_1 (which represents 2^1). The output must give the binary representation of the number of inputs that are equal to 1.

b) Simplify the expressions for t_0 and t_1. Is it possible to find a two-level implementation for t_0 with only 2 gates?