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

Dynamic memory management, How memory is freed using Boundary tag method in...

How memory is freed using Boundary tag method in the context of Dynamic memory management? Boundary Tag Method to free Memory To delete an arbitrary block from the free li

Explain the memory function method, Explain the Memory Function method ...

Explain the Memory Function method The Memory Function method seeks to combine strengths of the top  down and bottom-up approaches  to  solving  problems  with  overlapping  su

Explain backtracking, Explain Backtracking The  principal idea is to co...

Explain Backtracking The  principal idea is to construct solutions single component  at a time  and evaluate such  partially constructed candidates as follows. If a partiall

State cmy model, CMY Model  The cyan, magenta, yellow (CMY) colour mode...

CMY Model  The cyan, magenta, yellow (CMY) colour model is a subtractive model based on the colour absorption properties of paints and inks. As such it has become the standard

linear-expected-time algorithm, Implement a linear-expected-time algorithm...

Implement a linear-expected-time algorithm for selecting the k th smallest element Algorithm description 1. If |S| = 1, then k = 1 and return the element in S as the an

Linked List Variations, Part1: Deque and Bag Implementation First, complet...

Part1: Deque and Bag Implementation First, complete the Linked List Implementation of the Deque (as in Worksheet 19) and Bag ADTs (Worksheet 22). Files Needed: linkedList.c Linke

Write an algorithm to display this repeated calculation, The following form...

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

Threads in main method, Create main method or a test class that creates 2 E...

Create main method or a test class that creates 2 Element objects that are neighbours of each other, the first element temperature set at 100, the 2nd at 0 and use an appropriate h

Advantage of list over arrays, The advantage of list over Arrays is flexibi...

The advantage of list over Arrays is flexibility. Over flood is not a problem until the computer memory is bushed. When the individual record are quite large, it may be difficult t

Data type, Q. Define the terms data type and abstract data type. Comment up...

Q. Define the terms data type and abstract data type. Comment upon the significance of both these.   Ans: We determine the total amount of memory to reserve by determining

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