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In a Binary Expression Tree, which node represents an operator, such as addition or subtraction?a)Operator Nodeb)Root Nodec)Operand Noded)Internal Node

Question

In a Binary Expression Tree, which node represents an operator, such as addition or subtraction?

a) Operator Node
b) Root Node
c) Operand Node
d) Internal Node

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Solution

Step 1: Break Down the Problem

To answer the question, we need to identify which type of node in a Binary Expression Tree represents an operator (like addition or subtraction).

Step 2: Relevant Concepts

  1. Binary Expression Tree: A type of binary tree used to represent expressions. Each leaf node represents operands (like numbers), and each internal node represents an operator.
  2. Node Types:
    • Operator Node: This refers to nodes that carry the operators in the expression.
    • Root Node: The top-most node in the tree, which can also be an operator.
    • Operand Node: Nodes that represent the values (operands) in the expression, such as constants.
    • Internal Node: Nodes that have at least one child, which are typically the operator nodes.

Step 3: Analysis and Detail

In a Binary Expression Tree:

  • Operator nodes represent operations such as +, -, *, and /.
  • The root node can also be an operator if the entire expression begins with one.
  • Operand nodes provide the actual values upon which the operations are performed.
  • Therefore, the term "Operator Node" precisely describes nodes that represent operations.

Step 4: Verify and Summarize

From the definitions and functions of the nodes in a Binary Expression Tree, we conclude that the node that represents an operator is specifically called an "Operator Node."

Final Answer

a) Operator Node

This problem has been solved

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