Which traversal of a Binary Expression Tree would evaluate the expression in postfix (reverse Polish) notation?a)Preorderb)Inorderc)Postorderd)Level-order
Question
Which traversal of a Binary Expression Tree would evaluate the expression in postfix (reverse Polish) notation?a)Preorderb)Inorderc)Postorderd)Level-order
Solution
The traversal of a Binary Expression Tree that would evaluate the expression in postfix (reverse Polish) notation is c) 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 visited after both the left and right subtrees are visited.
This is exactly what happens in a postorder traversal. In a postorder traversal, the algorithm first visits the left subtree, then the right subtree, and finally the root (or the operator in this case). Therefore, a postorder traversal of a Binary Expression Tree would evaluate the expression in postfix notation.
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