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

Explain web service - .net component, Can you give an example of when it wo...

Can you give an example of when it would be appropriate to use a web service as opposed to a non-serviced .NET component? Services which help in stock trading by giving analysi

Characteristics of extreme unencoded micro-instructions, Q. Characteristics...

Q. Characteristics of extreme unencoded micro-instructions? 1. Two sources can be attached by respective control signals to a single destination; though only one of these sourc

What is control function, Q. What is control function? If transfer is t...

Q. What is control function? If transfer is to take place only under a predetermined control condition then this condition can be specified as a control function. For illustrat

What is dispatch unit, What is dispatch unit? A separate unit which we ...

What is dispatch unit? A separate unit which we call the dispatch unit fetch instructions from the front of the queue and sends them to the execution unit. The dispatch unit al

Design a mod-6 synchronous counter, Design a MOD-6 synchronous counter usin...

Design a MOD-6 synchronous counter using J-K Flip-Flops. Ans: Design of Mod-6 Counter:   To design the Mod-6 synchronous counter, contain six counter states (that is, from

superscalar pipelining, Put an "X" next to any of the following that are R...

Put an "X" next to any of the following that are RISC CPU characteristics that show diffrence between RISC from CISC a) has limited addressing modes b) used in Motorola 6000 pro

What are the different types of parameters, What are the different types of...

What are the different types of parameters? Formal Parameters: Parameters, which are described during the definition of subroutine with the FORM statement.

How control functions help in signalling and control, How different control...

How different control function categories help in signalling and control. Events happening outside the exchange on the line units, trunk junctions and inter exchange signalin

What is combinational circuits, Q. What is Combinational circuits? Comb...

Q. What is Combinational circuits? Combinational circuits are interconnected circuits of gates according to definite rules to generate an output relying on its input value. A w

Explain about encoding technique used in bitmaps indexes, Bitmaps commonly ...

Bitmaps commonly use one bitmap for each single distinct value. Number of bitmaps used can be decreased by opting for a dissimilar type of encoding. Space can be optimized but when

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