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hey guys in this video i will be talking about brian kerning and silgaard this algorithm is used to count number of set bits in a binary number right so if you think about a very simple brute force solution that will be just iterating over the binary number and incrementing the counter whenever you hit a one right so you have this binary number you increment over this and whenever you hit one you increment the counter this will give you result two the time complexity here is big o of n where n is the num n is the length of the binary number right because you have to iterate over the full binary number to get the number of set bits whereas in the case of a brian and brian cunninghams algorithm the time complexity is lets say big of k where k is number of set bits right so in this case it will be just 2. so how does this algorithm work there is a very simple observation that if you see if you understand this then the whole algorithm is nothing much okay so say you have a binary number