"Drivers installs so memory controller is noble enough but no display."
Sorry, not sure what that means. First of all, what's "noble"? Second, how CAN you know that the driver installs if you have no display?
Also, you're asking about a DVI adapter without mentioning the important stuff: to what kind of monitor are you connecting the card, and what are the ports available on that monitor.
Because 1) Most monitors with VGA ports will also have a DVI input (unless they're older than 17 years); 2) most HD4870 cards have dual DVI and S-Video; and 3) a DVI to DVI cable is the simplest solution, no need for an adapter.
But perhaps your troubles run a a little deeper.
It looks like you've had video card issues before:
http://www.portvapes.co.uk/?id=Latest-exam-1Z0-876-Dumps&exid=threads/i-bricked-my-gpu-randomly.2607290/
In that thread, someone tried to give you instructions how to boot into a Linux operating system, in order to bypass Windows altogether. You didn't listen to the advice, and instead started rambling about something else, posting links to a bitcoin forum, in an avalanche of messages that would make anyone reading the thread shake their head and refuse any further interaction.
Just by reading what you posted so far, it's evident you grossly overestimate both your command of the English language AND your tech skills. You are clearly unable to comprehend something as basic as booting into Linux, but nonchalantly talk about replacing BIOS chips. Can you understand the fault here?
Lastly, I can tell you're from Eastern Europe because of the way you structure your sentences, as well as your thin-skinned attitude in your forum interactions, which makes you really unpleasant to people from other cultures.
So my final advice to you is this: write in shorter sentences and try to be more humble. Saying "please" and "thank you" is not going to hurt.