Long ago, it was a special dd-RRR-yyyy, where RRR stands for month in Roman numerals. Yugoslavia's coat of arms had 29-XI-1943 on it (that's November). Now look in top right corner and guess when was this page last updated.
Then the computers came and most Yugoslav countries adopted the German format, dd.mm.yyyy. If you try to use mm/dd format anywhere, you'll create confusion. Just don't even try.
In speech, it's "29. novembar" - as if there were thirty novembers out there, and you were referring to twenty ninth. For ordinals, see number format.