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

STACK, 5. Implement a stack (write pseudo-code for STACK-EMPTY, PUSH, and P...

5. Implement a stack (write pseudo-code for STACK-EMPTY, PUSH, and POP) using a singly linked list L. The operations PUSH and POP should still take O(1) time.

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

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

what is the impoartance of average case analysis of algorithm

Define container in terms of object-oriented terms, Define container in te...

Define container in terms of  object-oriented terms A Container is a broad category whose instances are all more specific things; there is never anything which is just a Contai

Threaded binary tree, i need the full concept of it... please can anyone pr...

i need the full concept of it... please can anyone provide

Finite automata, find the grammar of regular expression of (a/?)(a/b)?

find the grammar of regular expression of (a/?)(a/b)?

Example of telephone directory, A telephone directory having n = 10 records...

A telephone directory having n = 10 records and Name field as key. Let us assume that the names are stored in array 'm' i.e. m(0) to m(9) and the search has to be made for name "X"

Dynamic programming., Count Scorecards(30 points) In a tournament, N playe...

Count Scorecards(30 points) In a tournament, N players play against each other exactly once. Each game results in either of the player winning. There are no ties. You have given a

Write an algorithm to illustrate this repeated calculation, The below formu...

The below formula is used to calculate n: n = (x * x)/ (1 - x). Value x = 0 is used to stop the algorithm. Calculation is repeated using values of x until value x = 0 is input. The

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