It`s not a question of luck
just a question of the right cable.
In theory you can convert from DVi, Hdmi and Displayport back and forth to any other of them.
But in reality it is a one way connection to DVi. DVi to Displayport does not work, afaik.
For example if you had a GPU with DVI outputs and the monitor had a Displayport input - no signal.
From GPU to Monitor ===> Displayport to DVI = works.
When you use a Displayport: Displayport to DVi-D cable. DVi-D
only carries digital signals.
(DVi-I is VGA compatible (analog)).
Needs to be DVi-D Dual Link (there is/was also a DVi-D Single Link cable! but it is unlikely that they are still sold today)
because the data rate is 2x Single Link data rate for high Monitor resolutions (over 1920x1200).
Also, Displayport carries a audio signal. If you`re lucky, the converter cable might carry that too to the monitor with speakers.
Watch out for male-female stuff in this way: check the output form factor on the GPU (Displayport / Hdmi - male or female)
and the converter cable to DVi needs to be the opposite (it needs to fit into the output).
Then you know the data is flowing in the right direction. I think I posted a picture of an adapter once in another threads of yours...
Using the Hdmi port of the GPU: ===> Hdmi to DVi-D cable.
Same deal as with the Displayport. Carries Digital Picture and Audio data with high data rates.
Quality cables are better ===> the longer the cable connection (5m-plus) the better the cable has to be.
Shorter than 3m then it does not really matter. Should work every time.
I would use the Displayports on the GPU. In your "older" setup the Displayport standard is of higher quality than the Hdmi Standard.
The cables from Displayport to DVi-D are found here from 20.- to 40.- CHF depending on the length.
My GPU had a short (20cm) adapter from Diplayport to DVi in the box.
I am using something like this and it is working fine.
Hope that helps.
CHeers, Klaus
ps: just an example for a short adapter. You can then connect your normal DVi cable to that.
https://www.startech.com/en-us/audio-video-products/dp2dvips: some tips from Eizo themselves
https://www.eizo.com/library/basics/displayport_to_d-sub/