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

Operations of a scientific calculator, A program is to be developed to simu...

A program is to be developed to simulate the operations of a scientific calculator. List the facilities to be provided by this calculator. Analyze this using a DFD 0- level and 1-

Xor gate, The XOR gate. The exclusive OR or XOR gate is similar to a tw...

The XOR gate. The exclusive OR or XOR gate is similar to a two input OR gate. The output of an XOR gate is logic 1 only when one input or the other input is high and is 0 when

What are null values, What are null values? If the value of a field in ...

What are null values? If the value of a field in a table is indeterminate or unknown, it is known as a null value.

Explain the life cycle of a process, Explain the life cycle of a process ...

Explain the life cycle of a process Each procedure has a life cycle, which consists of execution, creation and termination phases of the procedure.  A method may create severa

Does weblogic jms support clustering, WebLogic JMS handles cluster-wide, tr...

WebLogic JMS handles cluster-wide, transparent access to destinations from any server in the cluster. A system administrator can set up cluster-wide, transparent access to destinat

Define in detail about the architecture, Define in detail about the Archite...

Define in detail about the Architecture Architecture is the set of resources visible to machine language programmer: Registers, the memory, data representations, instructions

Various ways of floating point representation in memory, Describe the vario...

Describe the various ways of floating point representation in memory. What is the importance of normalizing the mantissa in this representation? Explain it by example(s)?

Which way do twin twist props on a boat rotate, Q. Which way do twin twist ...

Q. Which way do twin twist props on a boat rotate when propelling the boat forward? Answer:- In opposite direction however they are designed to propel the boat forward eve

What is the main difference between asp and asp.net, What is the Main diffe...

What is the Main difference between ASP and ASP.NET ?   ASP contains scripts which are not compiled while in ASP.net the code is compiled.

Draw back of assigning one bit position to control signals, What is the dra...

What is the draw back of assigning one bit position to each control signals? Assigning individual bits to every control signal results in long microinstructions due to the numb

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