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

BST has two children, If a node in a BST has two children, then its inorder...

If a node in a BST has two children, then its inorder predecessor has No right child

Binary tree creation, Binary tree creation struct NODE { struct N...

Binary tree creation struct NODE { struct NODE *left; int value; struct NODE *right; }; create_tree( struct NODE *curr, struct NODE *new ) { if(new->val

Applications of b-trees, A database is a collection of data organized in a ...

A database is a collection of data organized in a manner that facilitates updation, retrieval and management of the data. Searching an unindexed database having n keys will have a

Sparse matrix, How sparse matrix stored in the memory of a computer?

How sparse matrix stored in the memory of a computer?

Implement the physat algorithm, The first assignment in this course require...

The first assignment in this course required you to acquire data to enable you to implement the PHYSAT algorithm (Alvain et al. 2005, Alvain et al. 2008) in this second assignment

Insertion of an element in a linear array, To delete an element in the list...

To delete an element in the list at the end, we can delete it without any difficult. But, assume if we desire to delete the element at the straining or middle of the list, then, we

Standard ways of traversing a graph, Q. Which are the two standard ways of ...

Q. Which are the two standard ways of traversing a graph?  Explain them with an example of each.  Ans:   T he two ways of traversing a graph are written below

Algorithm for determining who won rock paper scissors game, Suppose you are...

Suppose you are given the results of 5 games of rock-paper-scissors. The results are given to you on separate pieces of paper; each piece says either 'A' if the first person won, o

Average case anaysis, what is the impoartance of average case analysis of ...

what is the impoartance of average case analysis of algorithm

Types of triangular matrices, Triangular Matrices Tiangular Matrices is...

Triangular Matrices Tiangular Matrices is of 2 types: a)  Lower triangular b)  Upper triangular

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