Hook up a PS4 to a Non-HDMI TV With a Converter
One of the most effective and easiest ways to use a PS4 and on a TV without HDMI is to utilize an HDMI converter. This translates the signal into something the television can understand and display. That said, there are different types of HDMI converters, so you will need to determine which type you need.
Use an HDMI to DVI Converter
HDMI and DVI are both digital signals, so if your television or monitor has a DVI input you will see better results than with one of the types of converters listed above. You should also be able to avoid loss of audio or low-quality audio like you would experience with an HDMI to composite converter. These can be anything from a coaxial input, a DVI input, composite cables, or one of many other options. A coax input looks like a threaded screw. Composite inputs are three ports for red, white, and yellow cables. A DVI input looks like what older computer monitors used to connect.