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

Project, human resource management project work in c++

human resource management project work in c++

Write an algorithm to measure daily temperatures, A geography class decide ...

A geography class decide to measure daily temperatures and hours of sunshine each day over a 12 month period (365 days) Write an algorithm, using a flowchart that inputs tempera

Cohen sutherland algorithm, Using the cohen sutherland. Algorithm. Find the...

Using the cohen sutherland. Algorithm. Find the visible portion of the line P(40,80) Q(120,30) inside the window is defined as ABCD A(20,20),B(60,20),C(60,40)and D(20,40)

Method to add an element in circular queue, Q. Let us consider a queue is h...

Q. Let us consider a queue is housed in an array in circular fashion or trend. It is required to add new items to the queue. Write down a method ENQ to achieve this also check whet

State about the simple types - built-in types, State about the Simple types...

State about the Simple types - Built-In Types Values of the carrier set are atomic, that is, they can't be divided into parts. Common illustrations of simple types are inte

Implementation of stack, Implementation of Stack :- Stacks can be execu...

Implementation of Stack :- Stacks can be executed in the 2 ways: a)  Arrays b)  Linked List

Data manipulation, perform the following length operation LENGTH("welcome t...

perform the following length operation LENGTH("welcome to ICA")=

Procedures, what is far and near procedures in system programming?

what is far and near procedures in system programming?

Internal sorting, In internal sorting, all of the data to be sorted is obta...

In internal sorting, all of the data to be sorted is obtainable in the high speed main memory of the computer. We will learn the methods of internal sorting which are following:

Union & intersection of two linklist, how to write an algorithm for unions ...

how to write an algorithm for unions & intersection of two linklists?

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