Do not have HDMI port to motherboard

Hi.
I want to buy HP 22es which comes with VGA and HDMI. I am tired of using VGA so this time I want to use HDMI. I also don't want to use DVI to HDMI converter adapter.
My motherboard doesn't have hdmi port i guess. So is there any solution like if I can install GPU that has HDMI port? but the thing is I don't know if I can make use of GPU for monitor. Is it possible? If it is possible to use GPU HDMI port for monitor then please let me know the suitable GPU. I don't play video game. My computer is fully used for official work and programming. So, I may not need expensive GPU with additional capacity. So, please suggest me only the GPU that is useful for HP 22es monitor.

my motherboard is dl-g41mx3-lt

EDIT: HP 22es also comes with Display Port. But My mohterboard doesn't have it too. So please suggest me Graphics Card which comes with HDMI or Display Port or both.

Display port is preferable.

Thanks

 

Thank you so much.

 

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Do you mean even if my mobo supports DDR3 rams that I am currently using, I can still use the graphics card suggested in 2nd post above.?