If your SLC-5/0x and MicroLogix controller serial ports are configured for DF1 Full Duplex protocol (which is the default) then you can use an inexpensive general-purpose USB/RS232 converter.
The one I use is the Keyspan USA-HS19. You'll find it's highly recommended here on the Forum.
If you need to use DH485 protocol on a serial port or network port, or if you need DH+ to the network port of an SLC-5/04, you will need a different device like the 1747-UIC or the 1784-U2DHP, or that old PCMK card and matching cable.