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

Parallel virtual machine, PVM is mainly a simulation of a computer machine ...

PVM is mainly a simulation of a computer machine running parallel programs. It is a software package that allows a heterogeneous collection of UNIX and/or Windows computers hooked

Define process, Define Process. Process: It is a program in executi...

Define Process. Process: It is a program in execution; process execution should progress into sequential fashion. Process contains: program counter stack dat

Problems for decision tree learning, Appropriate Problems for Decision Tree...

Appropriate Problems for Decision Tree Learning : However remember there that is a skilled job in "AI" to choose exactly the right learning representation ormethod for a parti

Select statements linked to a logical database, One cannot use SELECT state...

One cannot use SELECT statements in a report program linked to a Logical Database   False. You can use th SELECT statements.

What are the advantages of a smart card, What are the advantages of a Smart...

What are the advantages of a Smart Card? Advantages of Smart Card as given below: a. This provides convenience and assists for multiple currencies over borders. b. Us

What is the purpose of iop, What is the purpose of IOP. The purpose of ...

What is the purpose of IOP. The purpose of IOP is to given an independent path way for transfer of information among external and internal memory.

C program , minimum number of shelves

minimum number of shelves

Drag and drop state numbers and functions in vb, State 0 Source control is ...

State 0 Source control is being dragged with the variety of a target. 1 Out of the variety of a target. 2 One position in the target to one another.

Define parity bit and list its types, Define parity bit and List its types....

Define parity bit and List its types. The most common error detection code used is the parity bit. Parity bit is a extra bit contained with a binary message to make the total n

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