Analysis of merge sort, Computer Engineering

Assignment Help:

i) The width of the sorting + merging circuit is equivalent to maximum number of devices needed in a phase is O(n/2). As in the above diagram maximum number of devices for a given phase is 4 that is 8/2 or n/2. 

ii) The circuit comprises two sorting circuits for sorting sequences of length n/2 and afterwards one merging circuit for merging of two sorted sub sequences (see phase 4th  in above figure). Let functions Tm and Ts signify the time complexity of merging and sorting in terms of its depth.

The Ts can be calculated as follows:  

               Ts (n) =Ts (n/2) + Tm (n/2) 

               Ts (n) =Ts (n/2) + log (n/2), 

 Therefore, Ts (n) is equal to O (log2 n).

2264_Analysis of Merge Sort.png

Figure: Sorting + Merging Circuit


Related Discussions:- Analysis of merge sort

Difference between relocatable and self relocatable programs, Difference be...

Difference between relocatable and self relocatable programs. A relocatable program is one which can be processed to relocate it to a selected area of memory. For illustratio

Minimization of the logic function using k-maps, Minimize the logic functio...

Minimize the logic function F(A, B, C, D) = ∑ m(1,3,5,8,9,11,15) + d(2,13) using K-maps Ans. The logic function minimization of F(A, B, C, D) = ∑ m(1,3,5,8,9,11.15) + d(2,13) by

Cheques vs credit cards, Cheques vs Credit Cards       E-cheques:  E-ch...

Cheques vs Credit Cards       E-cheques:  E-cheques are used for business dealing in e-commerce.  Transactions of these cheques take place on Internet. In this system the elect

Target _self, TARGET = "_self" "_self" puts the new document in the s...

TARGET = "_self" "_self" puts the new document in the same window and frame as current document. "_self" works the same as if you hadn't used TARGET at all.

Answer, Write a program to find the area under the curve y = f(x) between x...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b

What do you mean by first fit, What do you mean by first fit? First fi...

What do you mean by first fit? First fit allocates the first hole that is big enough. Searching can either begin at the beginning of the set of holes or where the last first-f

write a ''c'' program to accept any 3 digit integer number, Write a 'C' pr...

Write a 'C' program to accept any 3 digit integer number from the keyboard and display the word equivalent representation of the given number

Applications of generic framework for e-commerce executed, How are applicat...

How are applications of generic framework for e-commerce executed? To execute applications, this is essential to have Supporting Information and Organizational Infrastructure a

Performance instrumentation in parallel computer, Performance instrumentati...

Performance instrumentation focuses on how to resourcefully collect information about computation of parallel computer. Method of instrumentation mostly tries to capture informatio

Dbms, Find a 3NF decomposition of the following relation scheme: University...

Find a 3NF decomposition of the following relation scheme: University (Faculty, Dean, Department, Chair, Professor, Rank, Student}. The University relation satisfies the following

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