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Radix means root in Latin. It refers to the base of the numbering system. Because we humans have ten fingers we use a base 10 numbering system (aka decimal, radix 10), After you run out of fingers counting up, you start another column.
We'll describe several radix search trees, starting with the simplest and working up. 1. Tries. A trie is a binary tree (or more generally, a k-ary tree where k is the radix) where the root represents the empty bit sequence and the two children of a node representing sequence x represent the extended sequences x0 and x1 (or generally x0, x1, ... x(k-1)).