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

Benefits of traditional hard disks and cd-rom, Q. Benefits of traditional h...

Q. Benefits of traditional hard disks and CD-ROM? CD-ROM is suitable for distribution of large amounts of data to a large number of users. CD-ROMs are a general medium these da

How a physical addressing is performed in wan, How physical addressing is p...

How physical addressing is performed in WAN? WAN networks operate as similar to a LAN. All WAN technology classifies the exact frame format a computer uses while sending and re

Find the shortest path, The following is the required interface for the mou...

The following is the required interface for the mouse and cheese problem. Your program is required to read its input from a file named 'maze.txt' In the maze.txt

Boiler troubles, Differences between internal and external treatment in boi...

Differences between internal and external treatment in boiler

A variable number of input arguments, Write a function that will get a vari...

Write a function that will get a variable number of input arguments: the length and width of a rectangle, and possibly also the height of a box that has this rectangle as its base.

Determine less propagation delay in synchronous-ripple ckt, You have two co...

You have two counters counting up to 16, built through negedge DFF, First circuit is synchronous and second is "ripple" as cascading, which circuit has a less propagation delay? Wh

Changing the system prompt, Q. Changing the System Prompt? When you cha...

Q. Changing the System Prompt? When you change the directory, you would like to keep track of it. The best way to do this is by displaying the name of the current directory alo

Device drivers in windows system, Q. Device drivers in Windows system? ...

Q. Device drivers in Windows system? In Windows system device drivers are implemented as dynamic link libraries (DLLs). This scheme has advantages which DLLs comprises sharea

What are the type of internet connection, What are the type of Internet con...

What are the type of Internet connection When determining requirements for a VPN, carefully estimate the number of systems to be put behind the VPN, the number of concurrent u

Define relocatable programs, Relocatable programs? Ans. Relocatable pro...

Relocatable programs? Ans. Relocatable programs can be loaded almost anywhere inside the memory.

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