More on Complete Binary Trees

Introduction

We touched upon complete binary trees in the last lesson, but here are some more detailed properties of them.

• All the levels are completely filled except possibly the last one.
• Nodes at the last level are as far left as possible.
• The total number of nodes in a complete binary tree of height “h” are: $2^h \leq nodes \leq 2^{h+1}-1$. This is again based on the Geometric Series formula: $2^0+2^1+2^3+2^4+\mathrm{.}\mathrm{.}\mathrm{.}+2^r=2^r$

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