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

BCD ADDER, create a BCD adder combinational ckt. that adds 2 digit BCD inpu...

create a BCD adder combinational ckt. that adds 2 digit BCD inputs

Explain the meaning of accept socket primitive, Explain the meaning of A...

Explain the meaning of ACCEPT socket primitive. The Accept Primitive: A server which uses connection-oriented transport should call procedure accepts to accept

Classification of pipeline processors, Classification of Pipeline Processor...

Classification of Pipeline Processors In this part, we explain various types of pipelining that can be useful in computer operations. These types depend on the following factor

Analysis of parallel algorithms, A generic algorithm is mostly analysed on ...

A generic algorithm is mostly analysed on basis of subsequent parameters: the space complexity (amount of space required) and the time complexity (execution time). Generally we giv

Discuss about second generation electronic computers, Second Generation (19...

Second Generation (1954-1962) The second generation saw various significant developments at every level of computer system design, from technology used to build the basic circu

Macroscopic and microscopic approaches - thermodynamics, Macroscopic and Mi...

Macroscopic and Microscopic approaches - Thermodynamics: Thermodynamic studies are undertaken by following two different approaches.  l. Macroscopic approach (Macro mean big)

Define variants of turing machine, Define variants of Turing Machine?  ...

Define variants of Turing Machine?  Variants are  Non deterministic turing machine.  Mutlitape turing  machine.  Enumerators

Computer, is data bus is bidirectional

is data bus is bidirectional

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