How Verilog or VHDL projects are implement as physical chips?
You can, though the details are a lot more involved and it's an expensive process; probably only worth considering if you need a million such chips.

More normally you would buy a "blank chip" called an FPGA, and compile the design for that chip, using the vendor's own (often free) tools. Usually the design is programmed into a second chip (a ROM) and loaded into the FPGA when power is applied, but there are Flash based FPGAs which don't need a separate ROM.

Examples : Xilinx or Altera are the two biggest FPGA vendors.

Often you might begin with a Starter Kit from one of the FPGA vendors, offering the chip on a demonstration board with a range of switches, LEDs and interfaces to other systems, to make prototyping easier.

The tools include a simulator : it is important to get your design right (or as close as you can) in simulation before trying to get it working in real hardware. They also include a synthesis tool,  which translates the VHDL design into the specific gates, memories etc available on the chip, and "Place&amp;Route" tools to arrange and connect those gates in a valid arrangement for that chip, and analysis tools to verify the design is fast enough for your purpose.