BTree Index Depth Calculator

This calculator helps determine the maximum depth of a B-tree index based on its order and the number of keys it can contain at each level.

Input Parameters

The maximum number of children each node can have (m ≥ 2)

The total number of keys in the B-tree

Calculation Results

Calculation Formula

Depth = ⌈logm(k + 1)⌉

Where:
m = B-Tree order
k = Number of keys
logm = logarithm with base m
⌈x⌉ = ceiling function (rounds x up to the nearest integer)

Result

Maximum Depth of B-Tree Index: 0

The maximum number of levels from root to a leaf node in the B-tree.

BTree Index Depth Calculator Calculator Usage Guide

Learn how to use the BTree Index Depth Calculator calculator and its working principles

How to Use This Calculator

  1. Enter the B-Tree order (m) - this is the maximum number of children each node can have. It must be at least 2.
  2. Enter the number of keys (k) - this is the total number of keys in the B-tree.
  3. Click the Calculate button to compute the maximum depth of the B-tree index.
  4. The calculator will display the maximum number of levels from the root to a leaf node.

Understanding B-Tree Depth

The depth of a B-tree is an important factor in database performance. A balanced B-tree with order m and k keys will have a depth of approximately ⌈logm(k + 1)⌉. This means that as the number of keys increases, the depth grows logarithmically, making B-trees efficient for large datasets.

Practical Applications

B-tree indexes are commonly used in database systems to optimize query performance. Understanding the depth of these indexes helps in:

  • Estimating search performance
  • Optimizing storage requirements
  • Designing database schemas for efficient queries