The HDMI to RCA cables are intended for A/V devices like projectors that understand how to translate the digital signal to an analog signal. Your amplifier will not be able to do this.
What make/model TV do you have? I don't know of any with HDMI outputs. Most only have HDMI inputs. What is your TV source (OTA/cable RF, set-top box, streaming device)? Does your TV have any audio out (digital audio output - fiber-optic or coaxial)?
If you have an HDMI source, you could use an Audio Extractor. See
https://www.amazon.com/HDMI-Audio-Extractor/s?k=HDMI+Audio+Extractor . You probably will need an extra HDMI cable and depending on the model either an RCA audio cable or a AUX to RCA cable. Plug in the source to the extractor's HDMI In, connect the HDMI Out to an HDMI input on the TV. Connect the extractor's analog audio output to one of the Yamaha AX-396 Audio IN connections. Connect the power adapter to the extractor and plug it in. Then turn on all of the components of your home theater system. (Probably you won't need to connect the HDMI out of the extractor back to the TV if your TV does have an HDMI out.)
If your TV has a digital audio output, you could use a digital to analog audio converter.
https://www.amazon.com/DA-Converters/b?ie=UTF8&node=3224445011 lists some options. Again you may need to purchase extra cables. Not all models are sold with the needed cables.
I hope this helps.
Cindy Wells
(note: you can expect any converter to have signal loss.)
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