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Postorder traversal of a binary tree allows to evaluation of postfix expressions.Group of answer choicesTrueFalse

Question

Postorder traversal of a binary tree allows to evaluation of postfix expressions.

Group of answer choices

  • True
  • False
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Solution

Answer:

True

Explanation:

Postorder traversal is one of the depth-first traversal methods used for binary trees, where the nodes are visited in the order of left subtree, right subtree, and then the root node. This specific order is particularly useful for evaluating expressions given in postfix notation, also known as Reverse Polish Notation (RPN). In postfix expressions, the operators appear after their operands, which means that when evaluating an expression, the most recent values can be combined with the operators that follow them.

During a postorder traversal of a binary expression tree (where internal nodes represent operators and leaves represent operands), the traversal will first visit the left child, then the right child, and finally the parent node. This corresponds directly to how postfix expressions are evaluated, where the tree structure reflects the order in which operations are to be performed. Thus, the notion that postorder traversal allows for evaluation of postfix expressions is indeed true.

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