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

Combining logic gates - boolean algebra, More complicated logic circuits ca...

More complicated logic circuits can be made byconnecting a number of simple logic gates.How do we decide how to connect the gates togive a particular function e.g. output Y?We need

Dbms, sketch a neat E-R diagram for hotel management system with real time ...

sketch a neat E-R diagram for hotel management system with real time example

Explain ai applications, AI Applications Search is a important elemen...

AI Applications Search is a important element of an AI system, and search functions are executed on huge quantities of complicated structured data by means of unstructured in

Define von neumann architecture, Von Neumann architecture was first majoran...

Von Neumann architecture was first majoranticipated structure for general-purpose computer. However before consideringmain components of von Neumann architecture let us first elabo

C, solution for oadovan string inc language

solution for oadovan string inc language

How to run an app in a page with existing content, There are no needs.. If ...

There are no needs.. If you need to use a Viewport you can! If you want to render components into divs... you can do that aswell.

Idiomatic translations - artificial intelligence, For this exercise you hav...

For this exercise you have to gather and report some linguistic data. Make sure your data are accurate by checking them with a native speaker if you yourself are not a native speak

What is accumulator register, Q. What is Accumulator Register? Accumula...

Q. What is Accumulator Register? Accumulator Register (AC):  This register is used to store data temporarily for computation by Arithmetic and logic unit (ALU).  AC generally c

Minimax search, Minimax search: Always notice there that the process a...

Minimax search: Always notice there that the process above was in order for player one to choose his and her first move for that. The whole entire process would require to fre

Show types under which networks will be divided, What are the two broad typ...

What are the two broad types under which Networks will be divided? Ans: All computer networks fit in one of the two dimensions specifically: a)  Transmission Technology, thi

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