Use the Boolean functions developed in problem #$1$ to create a circuit in verilog HDL with three inputs $(x,y,z)$ and four outputs $(a,b,c,d$ with each output equal to the result of problem #$1.$ Show your HDL code as well as the simulation results.

Use the Boolean functions developed in problem #$2$ to create a circuit in verilog HDL with three inputs $(x,y,z)$ and four outputs $(a,b,c,d$ with each output equal to the result of problem #$2.$ Show your HDL code as well as the simulation results.