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

First class Abstract data type , 3. A function to convert a complex number ...

3. A function to convert a complex number in algebraic form to a complex number in phasor form

If-then-else statements, In this example, suppose the statements are simple...

In this example, suppose the statements are simple unless illustrious otherwise. if-then-else statements if (cond) { sequence of statements 1 } else { sequence of st

Recursive function, The location of a node in a binary search tree is defin...

The location of a node in a binary search tree is defined as a string such as LLRRL, which represents the node that you find by starting at the root, and traversing Left, traverse

Explain the interfaces in ruby, Explain the Interfaces in Ruby Recall...

Explain the Interfaces in Ruby Recall that in object-oriented programming, an interface is a collection of abstract operations that cannot be instantiated. Even though Ruby i

Sorting algorithm, Sorting Algorithm A sorting algorithm is an algorit...

Sorting Algorithm A sorting algorithm is an algorithm which puts elements of a list in a certain order. The most-used orders are numerical order and lexicographical order. Eff

Objectives of algorithms, After learning this, you will be able to: u...

After learning this, you will be able to: understand the concept of algorithm; understand mathematical foundation underlying the analysis of algorithm; to understand se

Breadth first traversal, The data structure needed for Breadth First Traver...

The data structure needed for Breadth First Traversal on a graph is Queue

Sorting, Define Hashing. Store the following values in a hash table of tabl...

Define Hashing. Store the following values in a hash table of table size 11 using division method: 25, 42, 96, 101, 102, 162, and 197. In case of collision, use other hash functio

Use a random number generator to create 10 numbers, Use a random number gen...

Use a random number generator to create 10 numbers between 1 and 1000 and store them in 2 different arrays.  The first array should contain the numbers as they are generated.  The

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