HDMI to DVI converter?

my laptop display runs at 1920x1080 at 60hz refresh rate. i wanted to buy an external moniter for a bigger screen. my laptop only has 1 hdmi port and no dvi. i want the benefits of dvi as it can increase refresh rate according to the external monitor by using a hdmi to dvi converter. will this work with a laptop and will the converter convert the hdmi to a dvi fully for the extra refresh rate of the external monitor? Thanks!

sorry if its a dumb question also but for some reason i have found nothing on this particular topic
 
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