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

Determine sky wave communication is prone to fading or not, Sky wave Commun...

Sky wave Communication is prone to fading, it is true or false. Ans: It is true that sky wave Communication is prone to fading.

Define the types of software life cycle, Define the types of software life ...

Define the types of software life cycle Any system progress refers to the initial part of the software life cycle: analysis, design, and implementation. During object oriented

Concept of pipelining, Describe the concept of pipelining. Ans: Pipeli...

Describe the concept of pipelining. Ans: Pipelining is the means of executing machine instructions concurrently. This is the effective way of organizing concurrent activity in

Networking, Nyquist''s sampling theorem says "if you have a signal that is ...

Nyquist''s sampling theorem says "if you have a signal that is perfectly band limited to a bandwidth of f0 then you can collect all the information there is in that signal by sampl

Analog-to-digital conversion process, A stationary random displacement sign...

A stationary random displacement signal was digitised at 64 samples a second and analysed to obtain an auto-spectral density.  The signal was calibrated in mm units.  The frame siz

Implementation of a data entry application, Develop and submit an original ...

Develop and submit an original implementation of a data entry application. Identify and declare variables which will hold all data that needs to be entered to fill in the attached

Are there standards for electronic imaging, Are there standards for electro...

Are there standards for electronic imaging? Given the sensitive nature of most permanent records, there are microphotography standards in place which contain microfilm, compute

Extract datasets can be used without any kind of errors, The LOOP-ENDLOOP o...

The LOOP-ENDLOOP on extract datasets can be used without any kind of errors False.  It causes runtime errors.

What is generalization, What is generalization? Generalization is a rel...

What is generalization? Generalization is a relationship among a class (super class) and one or more variations of the class (sub classes).It arrange classes by similarities an

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