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

Legacy systems and current infrastructure, Legacy systems and current infra...

Legacy systems and current infrastructure - Information System This problem is most easily understood using the everyday example of the rail ways where the rail network infras

Define bandwidth, Define Bandwidth? When transferring blocks of data, i...

Define Bandwidth? When transferring blocks of data, it is of interest to know how much time is required to transfer an entire block, as blocks can be variable in size it is use

What is external modems, Q. What is External Modems? External Modems: M...

Q. What is External Modems? External Modems: Modems externally associated to PC via a parallel or serial port and into a telephone line at the other end.  They can generally co

Which 802 standard provides for a collision free protocol, Which 802 standa...

Which 802 standard provides for a collision free protocol? 802.5 standard gives for a collision free protocol.

Magnetic storage - computer architecture, Magnetic storage - computer archi...

Magnetic storage - computer architecture: Magnetic storage uses different type of patterns of magnetization on a magnetically coated surface to store information. Magnetic sto

What is connection, An established communication session among a server and...

An established communication session among a server and a workstation.

Explain how viewstate is being formed, Explain how Viewstate is being forme...

Explain how Viewstate is being formed and how it is keeps on client. The type of ViewState is System.Web.UI.StateBag, which is a dictionary that keeps name/value pairs. View St

Design a 3-bit counter using sequential logic, Q. Design a 3-bit counter us...

Q. Design a 3-bit counter using sequential logic with following counting sequence using JK- flip-flops which counts the sequence 0, 3, 2, 7, 5 and repeat.

Simplify following using k-map, Q. Explain XNOR gate with three input varia...

Q. Explain XNOR gate with three input variable and draw necessary circuits. Q. Simplify FOLLOWING Using K-Map 1. m0 + m1 + m6 + m7 + m12 + m13 + m8 + m9 2. m0 + m2 + m4 +

Principles of contract law, Andrew, a 17 zear old university student decide...

Andrew, a 17 zear old university student decided to hold a post exams party for his friends. Andrew asked Kath, a family friend and the owner of 'Kath's Katerers' to supply food

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