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

Sorted list followed by a few "random" elements, You have to sort a list L ...

You have to sort a list L having of a sorted list followed by a few "random" elements. Which sorting methods would be especially suitable for this type of task?   Insertion sort

Perform breadth -first search, You are given two jugs, a 4-gallon one and a...

You are given two jugs, a 4-gallon one and a 3-gallon one. Neither has any measuring marker on it. There is a tap that can be used to fill the jugs with water. How can you get exac

Explain stacks, What are stacks? A stack is a data structure that organ...

What are stacks? A stack is a data structure that organizes data similar to how one organizes a pile of coins. The new coin is always placed on the top and the oldest is on the

Explain class p problems, Explain class P problems Class  P  is  a  cla...

Explain class P problems Class  P  is  a  class  of  decision  problems  that  can  be  solved  in  polynomial time  by(deterministic) algorithms. This class of problems is kno

Definition of algorithm, Definition of Algorithm Algorithm must have th...

Definition of Algorithm Algorithm must have the following five characteristic features: 1.      Input 2.      Output 3.      Definiteness 4.      Effectiveness 5

Inequalities, #question.show that the following inequality is correct or in...

#question.show that the following inequality is correct or incorrect. n!=O(n^n)

Explain in detail about the ruby arrays, Explain in detail about the Ruby a...

Explain in detail about the Ruby arrays Ruby arrays have many interesting and powerful methods. Besides indexing operations which go well beyond those discussed above, arrays h

An undirected graph g with n vertices and e edges, An undirected graph G wi...

An undirected graph G with n vertices and e edges is shown by adjacency list.  What is the time required to generate all the connected components? O (e+n)

Explain the arrays in ruby, Explain the Arrays in Ruby Ruby arrays are ...

Explain the Arrays in Ruby Ruby arrays are dynamic arrays which expand automatically whenever a value is stored in a location beyond current end of the array. To the programmer

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