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

Sorting on several keys, Thus far, we have been considering sorting depend ...

Thus far, we have been considering sorting depend on single keys. However, in real life applications, we may desire to sort the data on several keys. The simplest instance is that

Depth of complete binary tree, What will be depth do , of complete binary t...

What will be depth do , of complete binary tree of n nodes, where nodes are labelled from 1 to n with root as node and last leaf node as node n

Infix expression to postfix form using the stack function, Q. Convert the f...

Q. Convert the following given Infix expression to Postfix form using the stack function: x + y * z + ( p * q + r ) * s , Follow general precedence rule and suppose tha

What is quick sort, What is quick sort?   Answer Quick sort is on...

What is quick sort?   Answer Quick sort is one of the fastest sorting algorithm used for sorting a list. A pivot point is chosen. Remaining elements are divided or portio

Traversing a binary search tree, Binary Search Tree let three types of trav...

Binary Search Tree let three types of traversals by its nodes. They are: Pre Order Traversal In Order Traversal Post Order Traversal In Pre Order Traversal, we ca

Programming information system, Describe an algorithm to play the Game of N...

Describe an algorithm to play the Game of Nim using all of the three tools (pseudocode, flowchart, hierarchy chart)

Various passes of bubble sort, Q. Show the various passes of bubble sort on...

Q. Show the various passes of bubble sort on the unsorted given list 11, 15, 2, 13, 6           Ans: The given data is as follows:- Pass 1:-     11   15   2     13

Merge sort , What is the best-case number of comparisons performed by merge...

What is the best-case number of comparisons performed by mergesort on an input sequence of 2 k distinct numbers?

Red black tree, red black tree construction for 4,5,6,7,8,9

red black tree construction for 4,5,6,7,8,9

Exlain double linked list, Double Linked List In a doubly linked list, ...

Double Linked List In a doubly linked list, also known as 2 way lists, each node is separated into 3 parts. The first part is called last pointer field. It has the address of t

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