Explain tabulation method for simplifying k maps, Computer Engineering

Assignment Help:

Explain Tabulation Method for simplifying k maps?

The Tabulation Method (QUINE-McCLUSKEY MINIMIZATION)

  • An expression is represented in the canonical SOP form if not already in that form.
  • A function is converted into numeric notation.
  • The numbers can be converted into binary form.
  • The minterms can be arranged in a column divided into groups.
  • Start with the minimization procedure.
    1. Every minterm of one group is compared with the each minterm in the group immediately below.
    2. Every time a number is found in one group which is the same as a number in the group below except for one digit, the pair numbers is ticked and a new composite is created.
    3. This composite number has the same number of digits as the numbers in the pair except the digit different which are replace by an "x".
  • The above process is repeated on second column to generate a third column.
  • The next step is to identify the necessarily prime implicants which can be done using a prime implicant chart.
    1. Where the prime implicant covers a minterm the intersection of the corresponding row and column is marked with a cross.
    2. Those columns with only one cross identify the necessary prime implicants these prime implicants must be in the final answer.
    3. The single crosses on the column are circled and all the crosses on the same row are as well circled, indicating that these crosses are covered by the prime implicants selected.
    4. Once one cross on the column is circled all the crosses on that column can be circled since the minterm is now covered.
    5. If any unnecessary prime implicant has all its crosses circled the prime implicant is redundant and need not be considered further.
  • After that, selections have to be made from the remaining unnecessary prime implicants, by considering how the crosses not circled can best be covered.
    1. One in common would take those prime implicants which cover the greatest number of crosses on their row.
    2. If all the crosses in the one row as well occur on another row which includes further crosses then the latter is said to dominate the former and can be selected.
    3. The dominated prime implicant can after that be deleted.

 


Related Discussions:- Explain tabulation method for simplifying k maps

Design a BCD to excess 3 code converter using NAND gates, Design a BCD to e...

Design a BCD to excess 3 code converter using minimum number of NAND gates. Hint: use k map techniques. Ans. Firstly we make the truth table: BCD no

Differentiate between static and dynamic memory, Differentiate between stat...

Differentiate between static and dynamic memory? The static RAM is simpler to use and has shorter read and write cycles. One of the main applications of static RAM is in execut

Is it possible to create graph form spreadsheets, Is it possible to create ...

Is it possible to create graph form spreadsheets For example IF G5 > 100 THEN "Y" ELSE "N" -  It's also possible to create graphs and charts from spreadsheets (such as using

Executing a parallel algorithm, Q. Executing a parallel algorithm? Mult...

Q. Executing a parallel algorithm? Multiple processors need synchronization with one another when executing a parallel algorithm. So task which is running on processor X may ha

Translate the following sentences into predicate logic, Translate the follo...

Translate the following sentences into predicate logic. Give as much structure as possible. Provide a translation key for each predicate letter and individual constant. In your tra

List the various file attributes, List the various file attributes. A f...

List the various file attributes. A file has certain other attributes, which differ from one operating system to another, but typically consist of these: Name, identifier, type

Single instruction and single data stream (sisd), Single Instruction and Si...

Single Instruction and Single Data stream (SISD) In this organisation, sequential implementation of instructions is executed by one CPU having a single processing element (PE

Liquid crystal displays, LCDs are the screens of choice for lightweight scr...

LCDs are the screens of choice for lightweight screens andportable computers. They consume very little electricity and have advanced technically to quite good resolutions and colou

What is dvd and dvd-rom, DVD is a new technology very same to compact discs...

DVD is a new technology very same to compact discs. A DVD looks just like an ordinary compact disc, though a DVD can hold up to 25 times as much as a CD!! That's 18 gigabytes!! Thi

Fundamental components of a microprocessor, Q. Fundamental components of a ...

Q. Fundamental components of a microprocessor? The word 'micro' is used in microphones, microscopes, microwaves, microprocessors, microcomputers, microprogramming, microcodes e

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