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The reason that binary trees are used more often than n-ary trees for searching is that with every contract with an n-ary tree you can eliminate most of it.

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The binary code, which uses a base-2 numeral system, was popularized by mathematician and philosopher Gottfried Wilhelm Leibniz in the 17th century. He introduced the concept of a binary numbering system in his 1703 paper "Explication de l'Arithmétique Binaire." However, the practical application of binary code in computing was developed later, particularly by Claude Shannon in the 20th century, who applied binary logic to electrical circuits.


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