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

Define intranet, Intranet : An Intranet is a type of information system...

Intranet : An Intranet is a type of information system that facilitates communication within the organizations between widely dispersed departments, divisions, and regional loc

Develop a regular expression for integer and identifier, Develop a regular ...

Develop a regular expression for Integer and Identifier (i) A regular expression for integer is [+ | -] (d)+ (ii) A regular expression for identifier is l(l | d)*

What is grade of service, What is Grade of service? Grade of service:...

What is Grade of service? Grade of service: In a loss system, the traffic carried through the network is usually lower than the actual traffic offered to the network through

An example subroutine call, Create your own Subprogram that does *not* use ...

Create your own Subprogram that does *not* use any input parameters. You decide the theme. You should give the pseudocode and an example Subroutine call. Be sure to give an overvie

Explain the application of e-commerce in home banking, Explain the applicat...

Explain the application of E-Commerce in Home Banking. Home Banking: E-commerce is employed in Home Banking like one call or one click. Internet banking or online bank

What are the basic components of dialog program, What are the basic compone...

What are the basic components of dialog program? Screens (Dynpros) Every dialog in an SAP system is controlled by dynpros. A dynpros having of a screen And its flow log

What is mmx technology, What is MMX Technology MMX Technology: MMX (M...

What is MMX Technology MMX Technology: MMX (Multimedia extensions) technology adds 57 new instructions to instruction set of Pentium - 4 microprocessors. MMX technology also

Operating characteristics for master-slave s-r flip-flop, Define the Operat...

Define the Operating Characteristics for master-slave S-R flip-flop? 1. Propagation Delay Time - is the interval of time required subsequent to an input signal has been applied

Instruction pipelines, Instruction Pipelines As discussed previous, the...

Instruction Pipelines As discussed previous, the stream of instructions in the instruction implementation cycle, can be realized through a pipeline where overlapped implementat

Data warehouse, 1) Define a job scheduling strategy that will meet business...

1) Define a job scheduling strategy that will meet business requirement of reporting availability by 6am CST for the following cubes? Show the job scheduling dependencies in a pict

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