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

Functions and modelling the data flows, Read the scenario (Pickerings Prope...

Read the scenario (Pickerings Properties). (a) List the functions of the system, as perceived by an external user. (b) List the external entities. Note that because we are mo

Characterstics of good algorithm, what are the charaterstics to determine w...

what are the charaterstics to determine weather an algorithm is good or not? explain in detail

Explain floyds algorithm, Explain Floyd's algorithm It is convenient to...

Explain Floyd's algorithm It is convenient to record the lengths of shortest paths in an n by n matrix D known as the  distance matrix: the element d ij   in the i th   row an

Frequency counts for all statements, Evaluate the frequency counts for all ...

Evaluate the frequency counts for all statements in the following given program segment. for (i=1; i ≤ n; i ++) for (j = 1; j ≤ i; j++) for (k =1; k ≤ j; k++) y ++;

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

Determine the algorithm for z-buffer method, Algorithm for Z-Buffer Method ...

Algorithm for Z-Buffer Method (a)  Initialize every pixel in the viewport to the smallest value of z, namely z0 the z-value of the rear clipping plane or "back-ground". Store a

Psedocodes, write a pseudocode to input the top speed (in km''s/hours) of 5...

write a pseudocode to input the top speed (in km''s/hours) of 5000 cars output the fastest speed and the slowest speed output the average (mean) speed of all the 5000 cars answers

Nothing, c++ To calculate the amount to be paid by a customer buying yummy ...

c++ To calculate the amount to be paid by a customer buying yummy cupcakes for his birth day party

State the output of avaerage value of numbers, Draw trace table and determi...

Draw trace table and determine output from the subsequent flowchart using below data:  X = 5, -3, 0, -3, 7, 0, 6, -11, -7, 12

What is an unreachable code assertion, What is an unreachable code assertio...

What is an unreachable code assertion An unreachable code assertion can be placed at the default case; if it's every executed, then program is in an erroneous state. A loop in

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