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

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

Red black tree, red black tree construction for 4,5,6,7,8,9

red black tree construction for 4,5,6,7,8,9

Luminous Jewels - The Polishing Game, Byteland county is very famous for lu...

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

Importance of object-oriented over java, Importance of Object-Oriented over...

Importance of Object-Oriented over java Java is basically based on OOP notions of classes and objects. Java uses a formal OOP type system that should be obeyed at compile-t

Polynomials, Polynomials like  5x 4    +  2x 3    +  7x 2     +  10x  -  8...

Polynomials like  5x 4    +  2x 3    +  7x 2     +  10x  -  8  can  be  represented by using arrays. Arithmetic operations such as addition & multiplication of polynomials are com

What is assertions, What is Assertions Introduction At every point...

What is Assertions Introduction At every point in a program, there are generally constraints on the computational state that should hold for program to be correct. For ins

Binary tree with depth 3, Q. Construct a complete binary tree with depth 3 ...

Q. Construct a complete binary tree with depth 3 for this tree which is maintained in the memory using the linked representation. Make the adjacency list and adjacency matrix for t

Travelling salesman problem, Example 3: Travelling Salesman problem G...

Example 3: Travelling Salesman problem Given: n associated cities and distances among them Find: tour of minimum length that visits all of city. Solutions: How several

Traversing a binary search tree, Binary Search Tree let three types of trav...

Binary Search Tree let three types of traversals by its nodes. They are: Pre Order Traversal In Order Traversal Post Order Traversal In Pre Order Traversal, we ca

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