Thank you for your comments. Let me expand with some backstory:
I have a Sony STR-DA2ES AVR with 5 composite video/audio inputs as my active switcher. With the exception of video 3, I am using the remaining 4 composite video/audio inputs. This way, I can switch inputs on the AVR using the remote. The AVR's composite video output then goes to my Bravia HDTV. Video 1 on the AVR is used to switch composite video from an HD-DVD player, Sony MDP-600 LD player and numerous CED players (4). Video 2 accepts the output of an SDP-E800. The E800 has an CDP-D406 and an MDP-600 LD players for its signal sources. Video 3 is unused most of the time. The 4'th video is used for my DVD changer and the 5'th video is for my DirecTV receiver. As you can see, I have a fair number of composite video sources.
Now, I am considering the purchase of this AVR:
https://www.amazon.com/gp/product/B06XKRWWSG/ref=ox_sc_sfl_title_2?ie=UTF8&psc=1&smid=ATVPDKIKX0DER.
The DN1080 AVR has one composite video input for SAT/CATV and I plan on using its video 1 composite input for my SDP-E800 (maybe). This leaves my DVD changer and my CED players out in the cold. I thought that 2 composite/HDMI converters would allow me to use 2 of the HDMI inputs on the DN1080 AVR to convert composite video from my DVD changer and my CED players. My HD-DVD and my Sony Ultra-HD players can feed their HDMI signals directly into the DN1080.
From what the posts indicate, a composite/HDMI converter is not the way to go.
Are there any other types of converters that might work? If not, I may have to use the video 1 input on the DN1080 for all composite video sources which would make my life a bit more complicated. (I would need to use an A/V switcher to connect all the composite videos into the video 1 input on the DN1080). I have an A/V switcher that Sony made some years ago that I could use. It has 4 inputs to 1 output and turns on when a video signal is detected on any of its inputs. About 10 minutes after the video disappears the unit shuts off. Since the DN1080 has a composite monitor output, I can use the output to send only composite video to the HDTV.