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

State a algorithm that inputs the heights of all 500 student, As part of an...

As part of an experiment, a school measured heights (in metres) of all its 500 students. Write an algorithm, using a flowchart that inputs the heights of all 500 students and ou

Explain depth-first traversal, Depth-first traversal A depth-first t...

Depth-first traversal A depth-first traversal of a tree visit a node and then recursively visits the subtrees of that node. Likewise, depth-first traversal of a graph visits

Draws a rectangular grid algorithms, Prepare a GUI called Hotplate GUI that...

Prepare a GUI called Hotplate GUI that holds a central panel that draws a rectangular grid that represents Element objects which should be held in a 2-dimensional array. The applic

What is a container taxonomy, What is A Container Taxonomy It's useful ...

What is A Container Taxonomy It's useful to place containers in a taxonomy to help understand their relationships to one another and as a basis for implementation using a class

Random searching, write aprogram for random -search to implement if a[i]=x;...

write aprogram for random -search to implement if a[i]=x;then terminate other wise continue the search by picking new randon inex into a

Explain dijkstra''s algorithm, Explain Dijkstra's algorithm Dijkstra's ...

Explain Dijkstra's algorithm Dijkstra's algorithm: This problem is concerned with finding the least cost path from an originating node in a weighted graph to a destination node

User-specified memory location, You need to implement a function which will...

You need to implement a function which will write out a given user-specified memory location to disk in base 10. That means that you have to convert the large number data structure

Abstract data type-tree, Definition: A set of data values & related operati...

Definition: A set of data values & related operations that are accurately specified independent of any particular implementation. As the data values and operations are described

Comparisons between linear and binary search, Comparative Study of Linear a...

Comparative Study of Linear and Binary Search Binary search is lots quicker than linear search. Some comparisons are following: NUMBER OF ARRAY ELEMENTS EXAMINED array

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