Postfix expression algorithm, Data Structure & Algorithms

Assignment Help:

Write an algorithm to calculate a postfix expression.  Execute your algorithm using the given postfix expression as your input : a b + c d +*f ↑ .

To evaluate a postfix expression by using the given values:

clear the stack

symb  = next input character while(not end of input)

{

if (symb is an operand)

push onto the stack;

else

{

pop two operands from the stack;

result=op1 symb op2;

push result onto the stack;

}

symb = next input character;

}

return (pop (stack));

The input postfix expression is given as:- ab+cd+*f^

Symb                 Stack                                          Evaluation a    a

b                    a b

+                   pop a and b                                 (a + b) Push (a + b)

c                    (a + b) c

d                   (a + b) c d

+                   pop c and d                                 (c + d) Push (c + d)

*                    pop (a + b) and (c + d)                (a + b) * (c + d)

f                    (a + b) * (c + d) f

^                    pop (a + b) * (c + d) and f           (a + b) * (c + d) ^ f

The result of evaluation is ((a + b) * (c + d)) ^ f


Related Discussions:- Postfix expression algorithm

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

Pseudo code, I need help writing a pseudocode for my assignment can anyone ...

I need help writing a pseudocode for my assignment can anyone help?

Define about the inheritance hierarchy, Define about the inheritance hierar...

Define about the inheritance hierarchy Languages Eiffel and D provide constructs in language for invariants and pre- and post conditions which are compiled into the code and ar

Representing sparse matrix in memory using array, Q. What do you understand...

Q. What do you understand by the term sparse matrix? How sparse matrix is stored in the memory of a computer? Write down the function to find out the transpose of a sparse matrix u

Determine the components of illumination, Determine the Components of Illum...

Determine the Components of Illumination The light reaching the eye when looking at a surface has clearly come from a source (or sources) of illumination and bounced off the su

Queue, 1. Show the effect of each of the following operations on queue q. A...

1. Show the effect of each of the following operations on queue q. Assume that y (type Character) contains the character ‘&’. What are the final values of x and success (type boole

Analyze an algorithm, In order to analyze an algorithm is to find out the a...

In order to analyze an algorithm is to find out the amount of resources (like time & storage) that are utilized to execute. Mostly algorithms are designed to work along with inputs

Effective way of storing two symmetric matrices, Explain an efficient and e...

Explain an efficient and effective way of storing two symmetric matrices of the same order in the memory. A n-square matrix array will be symmetric if a[j][k]=a[k][j] for all j

Splaying steps - splay trees, Readjusting for tree modification calls for r...

Readjusting for tree modification calls for rotations in the binary search tree. Single rotations are possible in the left or right direction for moving a node to the root position

Explain merge sort, Merge sort: Merge sort is a sorting algorithm that ...

Merge sort: Merge sort is a sorting algorithm that uses the idea of split and conquers. This algorithm splits the array into two halves, sorts them separately and then merges 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