Which traversal of a Binary Expression Tree would evaluate the expression in postfix (reverse Polish) notation?a)Postorderb)Preorderc)Level-orderd)Inorder
Question
Which traversal of a Binary Expression Tree would evaluate the expression in postfix (reverse Polish) notation?a)Postorderb)Preorderc)Level-orderd)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 the main operator, and the left and right subtrees are the operands.
-
Postfix notation, also known as Reverse Polish Notation (RPN), is a mathematical notation in which every operator follows all of its operands.
-
The postorder traversal of a binary tree visits the left subtree, then the right subtree, and finally the root. This is exactly the order required for postfix notation.
So, the correct answer is a) Postorder.
Similar Questions
Postorder traversal of a binary tree allows to evaluation of postfix expressions.Group of answer choicesTrueFalse
Which of the following represents the Postorder Traversal of a Binary Tree?*1 pointA) Left -> Root -> RightB) Right -> Left -> RootC) Left -> Right -> RootD) Right -> Root -> Left
Three standards ways of traversing a binary tree T with root R ....... Options Prefix, infix, postfix Pre-process, in-process, post-process Pre-traversal, in-traversal, post-traversal Pre-order, in-order, post-order
Which type of traversal of binary search tree outputs the value in sorted order ?a) Pre-orderb) In-orderc) Post-orderd) None
The inorder and preorder traversal of a binary tree are Inorder: d b e a p q r PreOrder: a b d e q p r The postorder traversal of the binary tree is: (A) d e b p r q a (B) e d b r p q a (C) e d b p r q a (D) d e p r b q a
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.