Binary Tree Basics and Representations Quiz

• A binary tree is a data structure that consists of a root node and two child nodes.
• A binary tree is a rooted tree that is also an ordered tree.
• Each node in a binary tree has at most two children.
• A binary tree is a special case of an ordered K-ary tree.
• The properties of a binary tree depend on its structure.
• The counting problem of binary trees is to count the number of full binary trees of a given size.

The key facts that are summarized above are as follows:

• A binary tree is a data structure that consists of a root node and two child nodes.
• A binary tree is a rooted tree that is also an ordered tree.
• Each node in a binary tree has at most two children.
• A binary tree is a special case of an ordered K-ary tree.
• The properties of a binary tree depend on its structure.
• The counting problem of binary trees is to count the number of full binary trees of a given size.
• Binary trees can be represented in several ways, but the most common is to have a tree node structure which contains data and references to its left or right child.
• If a node has fewer than two children, some of the child pointers may be set to a special null value or to a special sentinel node.
• Another way to store binary trees is to use arrays and store them in breadth-first order.
• Another way to store binary trees is to use tagged unions and store them as a 3-tuple of data, left child, and right child.
• The most efficient way to store binary trees is to use pointers and store them as an implicit data structure in arrays.

Test your knowledge of binary trees with this quiz covering their properties, representations, and counting problems. Explore the different ways to store binary trees, including using tree node structures, arrays, and tagged unions.