### Binary Tree Questions**Question 10:**How many nodes does a binary tree with height 5 have at most? *(2.0 points)*- A) 16- B) 32- C) 31- D) 10**Question 11:**What is the height of a binary tree with 1025 nodes? *(2.0 points)*- A) 11- B) 10- C) 11 — 1025- D) 12 — 1024### Explanation:For **Question 10**, a full binary tree of height \( h \) has a maximum of \( 2^{(h+1)} - 1 \) nodes. Therefore, for height 5, it can have a maximum of \( 2^6 - 1 = 63 \) nodes. The options provided do not align with this calculation.For **Question 11**, the minimum height of a completely filled binary tree with 1025 nodes is calculated by the relation \( \lceil \log_2(\text{number of nodes} + 1) \rceil - 1 \). ### Question 12: Understanding Binary Trees**What's true about binary trees?**(2.0分)- **A** The degree of every node in a binary tree is 2- **B** There is at least one node in a binary tree whose degree is equal to 2- **C** The degree of every node in a binary tree can be less than 2- **D** A binary tree contains at least one node### Question 13: Complete Binary Trees**A complete binary tree contains 1001 nodes. What is the number of leaf nodes?**(2.0分)- **A** 501- **B** 505- **C** 500- **D** 250### ExplanationThese questions explore fundamental properties of binary trees in computer science. Binary trees are data structures in which each node has up to two children. In the context of a complete binary tree, all levels are fully filled except possibly the last, which is filled from left to right. Understanding how to calculate leaf nodes and node degrees is crucial for mastering tree data structures.

A tree is a binary tree if each node of it can have at most two branches. In other words a binary…

Answered: 10 How many nodes does a binary tree…

10 How many nodes does a binary tree with height 5 have at most? (2.09) O A 16 B 32 OC 31 OD 10 11 What is the height of a binary tree with 1025 nodes (2.05) OA 11 Ов 10 OC 11-1025 OD 12-1024

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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