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 sample counter, Let's design a synchronous BCD counter. A BCD coun...

Let's design a synchronous BCD counter. A BCD counter follows a sequence of ten states and returns to 0 after count of 9. These counters are also known as decade counters. This typ

Find blocking probably in 100-line strowger switching system, Calculate the...

Calculate the blocking probably Pb in 100 line strowger switching system where 10 calls are in progress and 11th one arrives, probably that there is a call in a given decade = 1/10

Difference between absolute and relative path, What is the difference betwe...

What is the difference between absolute and relative path name of a file? Absolute path name: This is listing of the directories and files from the root directory to the i

What are the concerns for growth of e-commerce in india, What are the conce...

What are the concerns for growth of e-commerce in India? Government as Facilitator for the growth of e-commerce has taken following steps: a. Promotion of competitive dataco

What is collation, What is Collation Collation refers to a set of rules...

What is Collation Collation refers to a set of rules that verify how data is sorted and compared. Character data is sorted using rules that explain  the correct character se

A luminous jewel game, a luminous jewel game c programming start with t and...

a luminous jewel game c programming start with t and end with t the output will yes or no

What does the logo mean, This comes at the complication time, If we give th...

This comes at the complication time, If we give the LOGO option to the compiler, it take a bitmap file (i.e., ) as logo previous to loading the Application.

Can you tell me some of system tasks and their purpose, Can you tell me som...

Can you tell me some of system tasks and their purpose? $display, $displayb, $displayh, $displayo, $write, $writeb, $writeh, $writeo. The most useful of these is $display. T

Why a function cannot call a task, Why a function can n ot call a task ...

Why a function can n ot call a task As functions doesn't consume time,it can do any operation which doesn't consume time. Mostly tasks are written that consumes time. So a ta

Mips assembly language equivalents , MIPS' native assembly code only has tw...

MIPS' native assembly code only has two branch instructions, beq and bne, and only one comparison instruction, slt. Using just these three instructions (along with the ori instruct

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