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

Name some multimedia applications, Illustrate what are the Multimedia appli...

Illustrate what are the Multimedia applications Multimedia comprise the use of a computer to present: - Text - Video - Graphics - Sound - Animation In an inte

Execution of micro-program, The micro-instruction cycle can comprises two b...

The micro-instruction cycle can comprises two basic cycles: the fetch and execute. Here in the fetch cycle address of micro-instruction is produced and this micro-instruction is pu

8259 PIC, plz expalain interfacing of 8259 with 8085 step wise

plz expalain interfacing of 8259 with 8085 step wise

How is basic authentication worked, How is basic authentication worked? ...

How is basic authentication worked? When an exact resource has been protected using fundamental authentication, Apache sends a 401 Authentication needed header along with the r

Explain about floating point representation, Q. Explain about Floating Poin...

Q. Explain about Floating Point Representation? Floating-point number representation includes two parts. The first part of number is a signed fixed-point number which is called

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 are qualified associations, What are qualified associations? A qua...

What are qualified associations? A qualified association is an association in which an attribute known as the qualifier disambiguates the object many associated end.

Define rules for reducing karnaugh maps, Define Rules for Reducing Karnaugh...

Define Rules for Reducing Karnaugh Maps? The rules for reducing Karnaugh Maps (k- maps) are as follows: All of the 1's in the Karnaugh Map are called as minterms. The

The field sy-dynr, The field SY-DYNR refers to Number of the current sc...

The field SY-DYNR refers to Number of the current screen.

What is small computer systems interface, Q. What is Small Computer Systems...

Q. What is Small Computer Systems Interface? The other well-liked way is to connect a disk drive to a PC by a SCSI interface. Common drive choice for high-end workstations or s

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