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

Circular linklist, write an algorithm to insert an element at the beginning...

write an algorithm to insert an element at the beginning of a circular linked list?

Define techniques of dry running of flowcharts, Explain the term- Dry runni...

Explain the term- Dry running of flowcharts  Dry running of flowcharts is essentially a technique to: Determine output for a known set of data to check it carries out th

B-tree, Draw a B-tree of order 3 for the following sequence of keys: 2,4,9,...

Draw a B-tree of order 3 for the following sequence of keys: 2,4,9,8,7,6,3,1,5,10.and delete 8 and 10

Dqueue, algorithm of output restricted queue.

algorithm of output restricted queue.

High-level and bubble algorithm , 1. Give both a high-level algorithm and a...

1. Give both a high-level algorithm and an implementation (\bubble diagram") of a Turing machine for the language in Exercise 3.8 (b) on page 160. Use the ' notation to show the co

A sort which relatively passes by a list, A Sort which relatively passes by...

A Sort which relatively passes by a list to exchange the first element with any element less than it and then repeats with a new first element is called as      Quick sort.

Graphs, c program to represent a graph as an adjacency multilist form

c program to represent a graph as an adjacency multilist form

Binary tree, A binary tree is a tree data structures in which each node hav...

A binary tree is a tree data structures in which each node have at most two child nodes, generally distinguished as "right" and "left". Nodes with children are called parent nodes,

Database design and sql queries, In assignment, you have already started th...

In assignment, you have already started the process of designing a database for the Beauty Salon mini-case (enclosed again below), mainly in the phase of conceptual database design

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