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

Main strength of ascii, Q. Main strength of ASCII? One such standard co...

Q. Main strength of ASCII? One such standard code which enables language encoding that is popularly used is ASCII (American Standard Code for Information Interchange). This cod

2 way staircase switch-truth table logic equation & circuit, A staircase li...

A staircase light is controlled by two switches one at the top of the stairs and another at the bottom of stairs a. Make a truth table for this system. b. Write the lo

Specifying research problems, Specifying Research Problems: In our age...

Specifying Research Problems: In our agent terminology or in technique history, a problem to be solved is a specific and justified manner where the agent has starts with the b

use and benefits of object-oriented programming, The Chocolate Delights Ca...

The Chocolate Delights Candy Company requires to add the following functionality to its cash register: When a customer is checking out, the cash register requires keeping the ne

What is fork swap, What is Fork swap? "Fork ()" is a system call to mak...

What is Fork swap? "Fork ()" is a system call to make a child process. When the parent process calls "fork()" system call, the child process is formed and if there is short of

Define pvm library functions, Q. Define pvm library functions? int...

Q. Define pvm library functions? int info = pvm_freebuf( int bufid ) organizes of a message buffer. bufid message buffer identifier.  int pvm_getsbuf( void

Clustering-coefficient- artificial intelligence, This programming assignmen...

This programming assignment is about computing topological properties of Protein-Protein Interaction (PPI) networks. Recall that a PPI network is represented by a graph G=(V,E) whe

What is a disk drive, What is a disk drive? The electro mechanical mech...

What is a disk drive? The electro mechanical mechanism that spins the disk and moves the read/write heads known as disk drive.

Knowledge representation in artificial intelligence , Knowledge Representat...

Knowledge Representation: To recap, now we have some characterizations of Artificial Intelligence, so  when an Artificial Intelligence problem arises, you will enable  to put i

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