Which traversal of a Binary Expression Tree would evaluate the expression in postfix (reverse Polish) notation?a)Postorderb)Level-orderc)Preorderd)Inorder
Question
Which traversal of a Binary Expression Tree would evaluate the expression in postfix (reverse Polish) notation?
- a) Postorder
- b) Level-order
- c) Preorder
- d) Inorder
Solution
The traversal of a Binary Expression Tree that would evaluate the expression in postfix (reverse Polish) notation is a) Postorder.
Here's why:
-
In a Binary Expression Tree, each node corresponds to an operator or an operand. The root of the tree is an operator and the leaves are operands.
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Postfix notation, also known as Reverse Polish Notation (RPN), is a mathematical notation in which every operator follows all of its operands.
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Postorder traversal of a Binary Expression Tree visits the left subtree, then the right subtree, and finally the root node. This order of traversal aligns with the postfix notation where the operator comes after the operands.
So, the correct answer is a) Postorder.
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