Which traversal of a Binary Expression Tree would evaluate the expression in postfix (reverse Polish) notation?a)Inorderb)Postorderc)Level-orderd)Preorder
Question
Which traversal of a Binary Expression Tree would evaluate the expression in postfix (reverse Polish) notation?a)Inorderb)Postorderc)Level-orderd)Preorder
Solution
The traversal of a Binary Expression Tree that would evaluate the expression in postfix (reverse Polish) notation is Postorder.
Here's why:
Postfix notation, also known as Reverse Polish Notation (RPN), is a mathematical notation in which every operator follows all of its operands. In the context of a Binary Expression Tree, this means that the operator is evaluated after its two operands.
This is exactly what happens in a postorder traversal of a Binary Expression Tree. In postorder traversal, the tree is traversed in the following order: left subtree, right subtree, and then the root node. This means that the operands (the left and right subtrees) are evaluated before the operator (the root node), which aligns with the definition of postfix notation.
So, the answer is b) Postorder.
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