🌳 Beginner-Friendly Guide 'Sum of Root To Leaf Binary Numbers' - Problem 1022 (C++, Python, JavaScript)

Binary trees are the backbone of hierarchical data structures, and understanding how to traverse them is a fundamental skill for any developer. This problem challenges you to view a path from the root to a leaf as a sequence of bits, turning a tree traversal into a mathematical calculation. It is a perfect way to practice Depth First Search (DFS) while brushing up on your binary-to-decimal conversions. Problem Summary You're given: A binary tree where every node contains either a 0 or a 1. Each path starting from the root and ending at a leaf node represents a binary number. Your goal: Calculate the decimal value of every root-to-leaf path and return the total sum of all these values. Intuition The core logic revolves around how binary numbers are built. When you move down one level in the tree, you are essentially shifting the current binary value to the left by one position and adding the new bit. In decimal terms, "shifting left" is the same as multiplying the current value by 2. We