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

Briefly explain the prim''s algorithm, Question 1 Describe the following- ...

Question 1 Describe the following- Well known Sorting Algorithms Divide and Conquer Techniques Question 2 Describe in your own words the different asymptotic func

Define strictly binary tree, Define Strictly Binary Tree Strictly Bina...

Define Strictly Binary Tree Strictly Binary Tree: - If each non leaf node in binary tree has non empty left and right sub-trees , then the tree is known as a strictly binary t

Determine yiq colour model, Determine YIQ Colour Model Whereas an RGB m...

Determine YIQ Colour Model Whereas an RGB monitor requires separate signals for the red, green, and blue components of an image, a television monitor uses a single composite si

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

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

Data structures, #quCreate a flowchart to show the process that will allow ...

#quCreate a flowchart to show the process that will allow the implementation of Queue, Enqueue, and Dequeue operations.estion..

Which sorting methods sorting a list which is almost sorted, Which sorting ...

Which sorting methods would be most suitable for sorting a list which is almost sorted  Bubble Sorting method.

Explain expert system, 1. What is an expert system and where are they need...

1. What is an expert system and where are they needed? 2. What are the major issues involved in building an expert system?

Representation of arrays?, A representation of an array structure is a mapp...

A representation of an array structure is a mapping of the (abstract) array with elements of type T onto the store which is an array with elements of type BYTE. The array could be

Explain the term group support system, (a) Explain the term Group Support S...

(a) Explain the term Group Support System and elaborate on how it can improve groupwork. (b) Briefly explain three advantages of simulation. (c) Explain with the help of a

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