Infix expression to postfix form using the stack function, Data Structure & Algorithms

Assignment Help:

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 that the expression is legal.                                                                                         

Ans.

The given infix expression is as follows :-

x + y * z + (p * q + r) * s

Symb                Stack                    Postfix Expression x empty  x

+                       +                           x

y                       +                           xy

*                       +*                         xy

z                       +*                         xyz

+                       +                           xyz*+ (          +(         xyz*+

p                       +(                         xyz*+p

*                       +(*                       xyz*+p q       +(*       xyz*+p

+                       +(+                       xyz*+pq*

r                        +(+                       xyz*+pq*r

)                        +                           xyz*+pq*r+

*                       +*                         xyz*+pq*r+

s                        +*                         xyz*+pq*r+s

= xyz*+pq*r+s*+ The postfix expression obtained  is :- xyz*+pq*r+s*+


Related Discussions:- Infix expression to postfix form using the stack function

Space-complexity of the algorithm, The space-complexity of the algorithm is...

The space-complexity of the algorithm is a constant. It just needs space of three integers m, n and t. Thus, the space complexity is O(1). The time complexity based on the loop

Convert a binary tree into its mirror image by traversing it, One can chang...

One can change a binary tree into its mirror image by traversing it in Postorder is the only proecess whcih can convert binary tree into its mirror image.

Accept a file and form a binary tree - huffman encoding, Huffman Encoding i...

Huffman Encoding is one of the very simple algorithms to compress data. Even though it is very old and simple , it is still widely used (eg : in few stages of JPEG, MPEG etc). In t

How can the third dimension be displayed on the screen, How can the third d...

How can the third dimension be displayed on the screen The main problem in visualization is the display of three-dimensional objects and scenes on two-dimensional screens. How

How to construct binary tree, Q. A Binary tree comprises 9 nodes. The preor...

Q. A Binary tree comprises 9 nodes. The preorder and inorder traversals of the tree yield the given sequence of nodes: Inorder :          E     A    C    K    F     H    D

Travelling salesman problem, Example 3: Travelling Salesman problem G...

Example 3: Travelling Salesman problem Given: n associated cities and distances among them Find: tour of minimum length that visits all of city. Solutions: How several

Small program on Algorithms , Objective The goal of this project is to ext...

Objective The goal of this project is to extend and implement an algorithm presented in the course and to apply notions introduced by the course to this program/algorithm. The ass

Preorder traversal of a binary tree, Preorder traversal of a binary tree ...

Preorder traversal of a binary tree struct NODE { struct NODE *left; int value;     /* can take any data type */ struct NODE *right; };   preorder(struct 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

Acyclic graphs, Acyclic Graphs In a directed graph a path is said to fo...

Acyclic Graphs In a directed graph a path is said to form a cycle is there exists a path (A,B,C,.....P) such that A = P. A graph is called acyclic graph if there is no cycle in

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