1. A circuit for producing a population count for a data element comprising: a first set of adders comprising first, second, third, and fourth carry-save adders coupled to receive first, second, third, and fourth bit portions of the first data element, respectively, the first and second carry save adders producing a first multi-bit output, and the third and fourth carry save adders producing a second multi-bit output; a second set of adders comprising fifth and sixth carry-save adders coupled to receive the first and second multi-bit outputs, respectively, the fifth and sixth carry-save adders producing a third multi-bit output; a seventh carry-save adder coupled to receive the third multi-bit output, the seventh carry-save adder producing a fourth multi-bit output; and a full adder coupled to receive the fourth multi-bit output and produce the population count therefrom.