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, WHAT IS THE PURPOSE OF STACK IN C

WHAT IS THE PURPOSE OF STACK IN C

Tower of hanoi, how do we use 4-discs stack to solve tower of hanoi problem...

how do we use 4-discs stack to solve tower of hanoi problem and write an algorithm to solve it?

Procedures, what is far and near procedures in system programming?

what is far and near procedures in system programming?

How do you rotate a binary tree, How do you rotate a Binary Tree?  Rot...

How do you rotate a Binary Tree?  Rotations in the tree: If after inserting a node in a Binary search tree, the balancing factor (height of left subtree - height of right

Dqueue, how can i delete from deque while deletion is restricted from one e...

how can i delete from deque while deletion is restricted from one end

Undirected graph, Graphs are data structures which consist of a set of vert...

Graphs are data structures which consist of a set of vertices & a set of edges which connect the vertices. A graph where the edges are directed is called directed graph. Or else, i

Deletion of any element from the queue, Program segment for the deletion of...

Program segment for the deletion of any element from the queue delmq(i)  /* Delete any element from queue i */ { int i,x; if ( front[i] == rear[i]) printf("Queue is

#, if two relations R and S are joined, then the non matching tuples of bot...

if two relations R and S are joined, then the non matching tuples of both R and S are ignored in

Graph, For the following graph find the adjacency matrix and adjacency list...

For the following graph find the adjacency matrix and adjacency list representation of the graph.

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