Final answer:
To connect to a router's console port, a console or rollover cable with an RJ-45 connector to a serial connector is required, potentially alongside a USB to Serial adapter for modern computers without serial ports.
Step-by-step explanation:
To connect a computer to the console port of a router, a type of cable known specifically as a console cable or a rollover cable is typically used. This cable has an RJ-45 connector on one end to plug into the router's console port and often a serial connector, such as a DB-9 or DB-25 on the other end, to connect to the computer's serial port. However, many modern computers do not have serial ports; thus, a USB to Serial adapter may also be required if the computer only has USB ports.