PPT-Topic 18 Binary Trees

Topic 18 Binary Trees A tree may grow a thousand feet tall but its leaves will return to its roots Chinese Proverb 2 Definitions A tree is an abstract data type one entry point the root. This number representation uses 4 bits to store each digit from 0 to 9 For example 1999 10 0001 1001 1001 1001 in BCD BCD wastes storage space since 4 bits are used to store 10 combinations rather than the maximum possible 16 BCD is often used in b Ravi Chugh. March 28, 2014. 1. Review: Linked Lists. Goal. : Program that keeps track of friends. Problem. : Arrays have . fixed length. Solution. : . Linked Lists. . 2. null. Review: Linked Lists. Topics to be discussed….. Trees Data Structures. Trees. Binary Search Trees. Tree traversal. Types of Binary Trees. Threaded binary trees. Applications . Trees Data Structures. Tree. Nodes. Each node can have 0 or more . N. children. Definition. Perfect . N. -. ary. trees. Complete . N. -. ary. trees. Implementation using templates. Outline. N. -ary Trees. One generalization of binary trees are a class of trees termed . and AVL Trees. The Most Beautiful Data Structures in the World. This animation is a PowerPoint slideshow. Hit the spacebar to advance. Hit the backspace key to go backwards . Hit the ESC key to terminate the show. Search Trees. Marek Chrobak, Neal Young . UC Riverside. Ian Munro U Waterloo. Mordecai Golin. HKUST. Early version of paper at arxiv.org. Optimal search trees with 2-way comparisons. Decimal. . vs. Binary. = 1001. = 101. = 10. 1 = on =. 0 = off = . On and off. Creating a decimal number 
from a binary number. STAGE 1. The decimal number is ________. Creating decimal 
from binary. D. D. . Sleator. and R. E. . Tarjan. | AT&T Bell Laboratories. Journal of the ACM . | Volume 32 | Issue 3 | Pages 652-686 | 1985. Presented By: . James A. Fowler, Jr. | November 30, 2010. George Mason University | Fairfax, Virginia. What is binary?. You and I write numbers like this: twelve is 12, sixty eight is 68, and one hundred is 100. Binary is a . number system . that computers use. That is, binary is the way that computers express numbers.. Look at the . untis. of measurement for computer data. Bit. Byte. Nibble. Kilobyte. Mega / . giga. / . tera. byte. Binary. Nibble. Computers work in binary. We found out why in the hardware section (lesson 5).. Important Announcements. A4 is out now and due two weeks from today. Have fun, and start early!. 2. 3. A picture of a singly linked list:. 2. 1. 1. 0. Node object. pointer. int. value. Today: trees!. 6. 9. 2. 4. 1. 8. <. >. =. © 2014 Goodrich, Tamassia, Goldwasser. Presentation for use with the textbook . Data Structures and Algorithms in Java, 6. th. edition. , by M. T. Goodrich, R. Tamassia, and M. H. Goldwasser, Wiley, 2014. N. children. Definition. Perfect . N. -. ary. trees. Complete . N. -. ary. trees. Implementation using templates. Outline. N. -ary Trees. One generalization of binary trees are a class of trees termed . data structure: Trees. a hierarchical tree structure, with a root value and subtrees of children with a parent node, represented as a set of linked nodes. . from Wikipedia. . Tree data structure is a collection of data (Node) which is organized in .