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Which of the following is a true about Binary Trees
- a)Every binary tree is either complete or full.
- b)Every complete binary tree is also a full binary tree.
- c)Every full binary tree is also a complete binary tree.
- d)No binary tree is both complete and full.
- e)None of the above
Correct answer is option 'E'. Can you explain this answer?
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Most Upvoted Answer
Which of the following is a true about Binary Treesa)Every binary tree...
Introduction
In computer science, a binary tree is a tree data structure in which each node has at most two children, referred to as the left child and the right child. Binary trees are widely used in many applications, such as representing hierarchical relationships, sorting, searching, and more.
Explanation
a) Every binary tree is either complete or full: This statement is false. A binary tree can be neither complete nor full. A binary tree is complete if all levels, except possibly the last level, are completely filled, and all nodes are as far left as possible. A binary tree is full if every node has either 0 or 2 children.
b) Every complete binary tree is also a full binary tree: This statement is false. A complete binary tree can have nodes with only one child, as long as all the levels are filled except possibly the last level, which should be filled from left to right. On the other hand, a full binary tree requires all nodes to have either 0 or 2 children.
c) Every full binary tree is also a complete binary tree: This statement is false. A full binary tree can have all levels completely filled, but it does not guarantee that the nodes are as far left as possible. A complete binary tree requires the nodes to be as far left as possible.
d) No binary tree is both complete and full: This statement is false. It is possible to have a binary tree that is both complete and full. For example, a binary tree with a single node is both complete and full.
e) None of the above: This is the correct answer. None of the statements a, b, c, or d are true. Each statement represents a different property of binary trees, and none of them are universally true for all binary trees.
Conclusion
In summary, none of the statements a, b, c, or d are true about binary trees. Each statement represents a different property, and binary trees can vary in terms of completeness and fullness. It is important to understand the specific properties and characteristics of binary trees to analyze and manipulate them effectively.
In computer science, a binary tree is a tree data structure in which each node has at most two children, referred to as the left child and the right child. Binary trees are widely used in many applications, such as representing hierarchical relationships, sorting, searching, and more.
Explanation
a) Every binary tree is either complete or full: This statement is false. A binary tree can be neither complete nor full. A binary tree is complete if all levels, except possibly the last level, are completely filled, and all nodes are as far left as possible. A binary tree is full if every node has either 0 or 2 children.
b) Every complete binary tree is also a full binary tree: This statement is false. A complete binary tree can have nodes with only one child, as long as all the levels are filled except possibly the last level, which should be filled from left to right. On the other hand, a full binary tree requires all nodes to have either 0 or 2 children.
c) Every full binary tree is also a complete binary tree: This statement is false. A full binary tree can have all levels completely filled, but it does not guarantee that the nodes are as far left as possible. A complete binary tree requires the nodes to be as far left as possible.
d) No binary tree is both complete and full: This statement is false. It is possible to have a binary tree that is both complete and full. For example, a binary tree with a single node is both complete and full.
e) None of the above: This is the correct answer. None of the statements a, b, c, or d are true. Each statement represents a different property of binary trees, and none of them are universally true for all binary trees.
Conclusion
In summary, none of the statements a, b, c, or d are true about binary trees. Each statement represents a different property, and binary trees can vary in terms of completeness and fullness. It is important to understand the specific properties and characteristics of binary trees to analyze and manipulate them effectively.
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Community Answer
Which of the following is a true about Binary Treesa)Every binary tree...
A full binary tree (sometimes proper binary tree or 2-tree or strictly binary tree) is a tree in which every node other than the leaves has two children.
A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible.
A) is incorrect. For example, the following Binary tree is neither complete nor full
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B) is incorrect. The following binary tree is complete but not full
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B) is incorrect. The following binary tree is complete but not full
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C) is incorrect. Following Binary tree is full, but not complete
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C) is incorrect. Following Binary tree is full, but not complete
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D) is incorrect. Following Binary tree is both complete and full
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D) is incorrect. Following Binary tree is both complete and full
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Which of the following is a true about Binary Treesa)Every binary tree is either complete or full.b)Every complete binary tree is also a full binary tree.c)Every full binary tree is also a complete binary tree.d)No binary tree is both complete and full.e)None of the aboveCorrect answer is option 'E'. Can you explain this answer?
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Which of the following is a true about Binary Treesa)Every binary tree is either complete or full.b)Every complete binary tree is also a full binary tree.c)Every full binary tree is also a complete binary tree.d)No binary tree is both complete and full.e)None of the aboveCorrect answer is option 'E'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Which of the following is a true about Binary Treesa)Every binary tree is either complete or full.b)Every complete binary tree is also a full binary tree.c)Every full binary tree is also a complete binary tree.d)No binary tree is both complete and full.e)None of the aboveCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is a true about Binary Treesa)Every binary tree is either complete or full.b)Every complete binary tree is also a full binary tree.c)Every full binary tree is also a complete binary tree.d)No binary tree is both complete and full.e)None of the aboveCorrect answer is option 'E'. Can you explain this answer?.
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