Prefix and Postfix Expressions, Data Structure & Algorithms

Assignment Help:

Q. Draw the expression tree of the infix expression written below and then convert it intoPrefix and Postfix expressions.

((a + b) + c * (d + e) + f )* (g + h )

Ans:

The expression given is:

 

189_Prefix and postfix expression.png

 

The postfix expression obtained is:

((a+b)+c*(d+e)+f)*(g+h)

= ((ab+)+c*(de+)+f)*(gh+)

= ((ab+)+(cde+*)+f)*(gh+)

= ((ab+cde+*+)+f)*(gh+)

= (ab+cde+*+f+)*(gh+)

=(ab+cde+*+f+gh+*)

The prefix expression obtained is:

((a+b)+c*(d+e)+f)*(g+h)

= ((+ab)+c*(+de)+f)*(+gh)

= ((+ab)+(*c+de)+f)*(+gh)

= ((++ab*c+de)+f)*(+gh)

= (+++ab*c+def)*(+gh)

= (*+++ab*c+def+gh)

 


Related Discussions:- Prefix and Postfix Expressions

The two famous methods for traversing, The two famous methods for traversin...

The two famous methods for traversing are:- a) Depth first traversal b) Breadth first

Undirected graph, Graphs are data structures which consist of a set of vert...

Graphs are data structures which consist of a set of vertices & a set of edges which connect the vertices. A graph where the edges are directed is called directed graph. Or else, i

Explain about the preconditions assertion, Preconditions assertion A ...

Preconditions assertion A precondition is an assertion which should be true at the initiation of an operation. For instance, a square root operation can't accept a negative a

Explain the different types of traversal on binary tree, Question 1 What i...

Question 1 What is a data structure? Discuss briefly on types of data structures Question 2 Explain the insertion and deletion operation of linked list in detail Qu

Darw a flowchart to input 3 numbers, This algorithm inputs 3 numbers, every...

This algorithm inputs 3 numbers, every number goes through successive division by 10 until its value is less than 1. An output is produced which comprise the number input and a val

Inorder traversal, Inorder traversal: The left sub tree is visited, then t...

Inorder traversal: The left sub tree is visited, then the node and then right sub-tree. Algorithm for inorder traversal is following: traverse left sub-tree visit node

Implementation of a binary tree, Like general tree, binary trees are implem...

Like general tree, binary trees are implemented through linked lists. A typical node in a Binary tree has a structure as follows struct NODE { struct NODE *leftchild; i

Prims algorithm, how to implement prims algorithm dynamically

how to implement prims algorithm dynamically

Optimization Methods, Optimal solution to the problem given below. Obtain t...

Optimal solution to the problem given below. Obtain the initial solution by VAM Ware houses Stores Availibility I II III IV A 5 1 3 3 34 B 3 3 5 4 15 C 6 4 4 3 12 D 4 –1 4 2 19 Re

Algorithm to insert element to a max-heap sequentially, Q. Write  down the ...

Q. Write  down the  algorithm  to  insert  an  element  to  a  max-heap  which  is  represented sequentially.           Ans: The algorithm to insert an element "newkey" to

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd