Minimis logic function using K-map, Computer Engineering

Assignment Help:

Minimise the logic function F (A, B, C, D) = Π M (1, 2, 3, 8, 9, 10, 11,14) ⋅ d (7, 15)
Use Karnaugh map.

Ans. Given function F=∏M(1,2,3,8,9,10,11,14).d(7, 15)
F'=B'D+B'C+AC+AB' By Complementing F
F=(B'D+B'C+AC+AB')'
= [(B'D)'(B'C)'(AC)'(AB')']'
= (B+D')(B+C')(A'+C')(A'+B)
Taking here complement twice but also without opening the bracket
F=[(B+D')+(B+C')'('A'+C')+(A'+B)]'

322_Minimis logic function using K-map.png

Related Discussions:- Minimis logic function using K-map

What is a javabean, JavaBeans are reusable software components written in t...

JavaBeans are reusable software components written in the Java programming language, designed to be influenced visually by a software development environment, like JBuilder or Visu

Explain about the prepurchase interaction activity, Explain about the Prepu...

Explain about the Prepurchase Interaction activity. Prepurchase Interaction: This interaction for consumers comprises three activities: • Product or service search and di

Objectives of parallel computing, Objectives of Parallel Computing Aft...

Objectives of Parallel Computing After reading this topic, you would be able to: Tell historical details of parallel computing; Explain the fundamental ideas of dis

Switch statement with the use of nested if-else statement, Compare the use ...

Compare the use of switch statement with the use of nested if-else statement. If-else statement: When there are many conditional statements that may all evaluate to true, bu

Weight training calculations - artificial intelligence, Weight Training Cal...

Weight Training Calculations -Artificial intelligence: Because we have more weights in our network than in perceptrons, first we have to introduce the notation: wij to denote t

Dataflow computing, Dataflow Computing A different to the von Neumann m...

Dataflow Computing A different to the von Neumann model of computation is the dataflow computation model. In a dataflow model, control is fixed to the flow of data. The order o

What is interaction modeling, What is interaction modeling? Interaction...

What is interaction modeling? Interaction model explains interactions within a system. The interaction model explains how objects interact to produce useful results. It is a ho

Floating point format, consider the 8 bit floating point format including s...

consider the 8 bit floating point format including support for normalised nimbers and nonnumeric values.it included 3 bits for mantissa and 4 bitys for excess 7 exponent

Kirchoff''s voltage law , Kirc hoff's Voltage Law The sum ...

Kirc hoff's Voltage Law The sum of all the voltage drops around a closed circuit loop will add to zero V1+(-V2)+(-V3)+(-V4)= 0

When is a memory unit called as ram, When is a memory unit called as RAM? ...

When is a memory unit called as RAM? A memory unit is called as RAM if any location can be accessed for a read or writes operation in some fixed quantity of time that is indepe

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages