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

Binary tree construction, Construct a B+ tree for the following keys, start...

Construct a B+ tree for the following keys, starting with an empty tree.  Each node in the tree can hold a maximum of 2 entries (i.e., order d = 1). Start with an empty root nod

Write an algorithm insert, Q. Write an algorithm INSERT which takes a point...

Q. Write an algorithm INSERT which takes a pointer to a sorted list and a pointer to a node and inserts the node into its correct position or place in the list.  Ans: /* s

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

Explain about the preconditions assertion, Preconditions assertion A ...

Preconditions assertion A precondition is an assertion which should be true at the initiation of an operation. For instance, a square root operation can't accept a negative a

Draw a flowchart that takes temperatures input, Write an algorithm in form ...

Write an algorithm in form of a flowchart that takes temperatures input over a 100 day period (once per day) and outputs the number of days when temperature was below 20C and numbe

Example which cause problems for hidden-surface algorithms, Example which c...

Example which cause problems for some hidden-surface algorithms Some special cases, which cause problems for some hidden-surface algorithms, are penetrating faces and cyclic ov

Naïve recursive algorithm for binomial coefficients, How many recursive cal...

How many recursive calls are called by the naïve recursive algorithm for binomial coefficients, C(10, 5) and C(21, 12) C(n,k){c(n-1,k)+c(n-1,k-1) if 1 1 if k = n or k = 0

Search on a heap file, Consider the file " search_2013 ". This is a text fi...

Consider the file " search_2013 ". This is a text file containingsearch key values; each entry is a particular ID (in the schema given above). You are tosimulate searching over a h

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