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

Determine in brief about the boolean, Determine in brief about the Boolean ...

Determine in brief about the Boolean Carrier set of the Boolean ADT is the set {true, false}. Operations on these values are negation, conjunction, disjunction, conditional,

Linear array - numerical, Q. A linear array A is given with lower bound as ...

Q. A linear array A is given with lower bound as 1. If address of A[25] is 375 and A[30] is 390, then find address of A[16].

Tradeoff between space and time complexity, We might sometimes seek a trade...

We might sometimes seek a tradeoff among space & time complexity. For instance, we may have to select a data structure which requires a lot of storage to reduce the computation tim

Avl trees, An AVL tree is a binary search tree that has the given propertie...

An AVL tree is a binary search tree that has the given properties: The sub-tree of each of the node differs in height through at most one. Each sub tree will be an AVL tre

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

Adjacency matrix representation of a graph, An adjacency matrix representat...

An adjacency matrix representation of a graph cannot having information of : Parallel edges

Algorithm to insert element to a max-heap sequentially, Q. Write  down the ...

Q. Write  down the  algorithm  to  insert  an  element  to  a  max-heap  which  is  represented sequentially.           Ans: The algorithm to insert an element "newkey" to

Non-recursive algorithm to traverse a tree in preorder, Write the non-recur...

Write the non-recursive algorithm to traverse a tree in preorder.    The Non- Recursive algorithm for preorder traversal is as follows: Initially  push NULL onto stack and

Delete a given specific node from a doubly linked list. , D elete a specif...

D elete a specific Node from Double Linked List as follows DELETEDBL(INFO, FORW, BACK, START, AVAIL,LOC) 1. [Delete Node] Set FORW [ BACK [LOC]]:= FORW[LOC]& BACK [FORW[

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