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

Determine the comparison of gouraud and phong shading, Comparison of Gourau...

Comparison of Gouraud and Phong Shading Phong shading requires more calculations, but produces better results for specular reflection than Gouraud shading in the form of more r

Lilz, I need to know about data structure and algorithms. can you help me?

I need to know about data structure and algorithms. can you help me?

Determine in brief about the boolean, Determine in brief about the Boolean ...

Determine in brief about the Boolean Carrier set of the Boolean ADT is the set {true, false}. Operations on these values are negation, conjunction, disjunction, conditional,

Algorithm, Ask question #MWhich of the following is not a characteristic of...

Ask question #MWhich of the following is not a characteristic of good algorithm? inimum 100 words accepted#

Evaluation of arithmetic expressions, Stacks are often used in evaluation o...

Stacks are often used in evaluation of arithmetic expressions. An arithmetic expression contains operands & operators. Polish notations are evaluated through stacks. Conversions of

Road transport booking system, what algorithms can i use for the above titl...

what algorithms can i use for the above title in my project desing and implmentation of road transport booking system

Hash tables, Q. Explain the Hash Tables, Hash function and Hashing Techniqu...

Q. Explain the Hash Tables, Hash function and Hashing Techniques properly?             A n s . H as h Table is explained as follows : A hash table is a data struc

Progrrame, how to write a code for for a company , for calculate the salary...

how to write a code for for a company , for calculate the salary pay

Designed to manage the booking, Beauty Salon is a system to be designed to...

Beauty Salon is a system to be designed to manage the booking and the payment of a single beauty parlour. Beauty Therapists: A beauty parlour has a number of staff members mo

Write the algorithm to find input and output value, This algorithm inputs 5...

This algorithm inputs 5 values and outputs how many input numbers were positive and how many were negative. Data to be used: N = 1, -5, 2, -8, -7

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