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

4bit counter using JK flip flop and unique sequence, Need to build a 4bit J...

Need to build a 4bit JK flip flop counter with a unique patter. 6 4 2 5 3 1 F C B A

Explain about diodes, Q. Explain about Diodes? A single pn-junction wit...

Q. Explain about Diodes? A single pn-junction with appropriate contacts for connecting the junction to external circuits is called a semiconductor pn-junction diode. The fundam

Show the hypothetical instruction format of 32 bits, Q. Show the Hypothetic...

Q. Show the Hypothetical Instruction Format of 32 bits? A sample instruction format is shown in figure below. Figure: A Hypothetical Instruction Format of 32 bits

Explain the program invisible registers, What are program invisible registe...

What are program invisible registers? Global and local descriptor tables are found in memory system. In order to specify and access the address of these tables, program invisi

Process of interaction design, This unit starts by discussing the importanc...

This unit starts by discussing the importance of involving users in the interaction design process, explaining the reasons why user involvement can be useful, the different degrees

The job allocation register, Signify this problem by means of: i.    An Ent...

Signify this problem by means of: i.    An Entity Relationship model; ii.    Relational tables. Pete's Programmers is a firm which supplies part time staff on contract to organisat

Computation step in time complexity of an algorithm, Q. Computation step in...

Q. Computation step in time complexity of an algorithm? So First in the computation step the local processor executes an arithmetic and logic operation. Afterwards the several

Software project planning, Software Project Planning In the previous da...

Software Project Planning In the previous days of computing software costs comprised a small % of overall computer based system cost. In order of magnitude error software cost

#title.sequential circuit, design modulo 12 up synchronous counter using t ...

design modulo 12 up synchronous counter using t flip flop

Decode the code, how to write mobile keypad program in c++

how to write mobile keypad program in c++

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