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

Cognitive science applications, This branch of AI is concerned with incor...

This branch of AI is concerned with incorporating knowledge from varied disciplines such as biolog neurology psychology mathematics and several linked disciplines. It is typic

Design a alarm system - microprocessor system, A burglar alarm system is co...

A burglar alarm system is controlled by a microprocessor system. The system has three independent circuit each consisting of 7 passive infra red sensors. The controller can be prog

What is downcasting in programming, Downcasting concept is the casting from...

Downcasting concept is the casting from a general to a more particular type, i.e. casting down the hierarchy in programming

Canonical genetic algorithm - mating, Canonical genetic algorithm - Mating:...

Canonical genetic algorithm - Mating: In such a scenario this continues until the number of offspring that is produced is the required number. Further this required number is

Determine the output of an even parity generator, When the set of input dat...

When the set of input data to an even parity generator is 0111, the output will be ? Ans. Into even parity generator if number of one is odd then output will be 0.

Digital electronics, Draw a circuit of an NMOS inverter and explain its ope...

Draw a circuit of an NMOS inverter and explain its operation

Components of information super highway infrastructure, Explain the compone...

Explain the components of Information Super Highway Infrastructure. The Information Superhighway is more than the Internet. It is a sequence of components, having the collectio

Define hit ratio, Define Hit ratio. The performance of cache memory is ...

Define Hit ratio. The performance of cache memory is frequently measured in terms of quantity called hit ratio. Hit-Find a word in cache. Miss-Word is not found in cache.

State the concept of hierarchy in object oriented, Hierarchy Hierarchy...

Hierarchy Hierarchy is a process of ranking or ordering of abstraction. Hierarchy is decided by the help of 'divide and conquer' principle. Complex objects can be described

Differences between one hot and binary encoding, What are differences betwe...

What are differences between one hot and binary encoding? Common classifications used to explain the state encoding of an FSM is Binary or highly encoded and one hot. A bina

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