Simplify the expression by using karnaugh map, Computer Engineering

Assignment Help:

Simplify the following expression into sum of products using Karnaugh map

F(A, B, C, D) = ∑ (1,3,4,5,6,7,9,12,13)

Ans. Simplification of the given expression in sum of products using Karnaugh Map is shown below:

F(A,B,C,D) = Σ (1,3,4,5,6,7,9,12,13)

Karnaugh Map for F(A,B,C,D) = Σ (1,3,4,5,6,7,9,12,13) is demonstrated in figure (a). In this figure the grouping of cells is also shown.

819_Simplify the expression into sum of products using Karnaugh map.png

So the equations for (1) is A‾ B; and for (2) is C‾ D; for (3) is A‾ D; for (4) is B C‾

Thus, the Simplified Expression for the Karnaugh map as
F(A,B,C,D) = A‾ B+ C‾ D+ A‾ D+B C‾
= A‾ (B + D) + C‾ ( B + D)

Related Discussions:- Simplify the expression by using karnaugh map

What is the role of a controller in an mvc application, The controller resp...

The controller responds to user interactions, with the application, by selecting the act method to implement and also selecting the view to render.

What is EDO RAM, What is EDO RAM A minor modification to the structure ...

What is EDO RAM A minor modification to the structure of the DRAM changes the device into an EDO (extended data output) DRAM device. In EDO memory, any memory access, including

Build a program to maintain his personal account, Aim: Build a program or a...

Aim: Build a program or application which gives an interface to the user to maintain his personal account for E-mails & should be able to work on the following applications. Des

Aaa, swot

swot

What is the significance of nonactionattribute, In general, all public proc...

In general, all public processes of a controller class are treated as action processes. If you require prevent this default behaviour, just decorate the public process with NonActi

Depth first search - artificial intelligence, Depth First Search - artifici...

Depth First Search - artificial intelligence: Depth first search is very similar to breadth first, except for that the things are added to the top of this agenda rather than o

Explain about the term- reports, Explain about the term- Reports Repor...

Explain about the term- Reports Reports are produced as a result of questions like "how many times has a type of car broken down" or "which cities have the highest house price

Minimization of the logic function using k-maps, Minimize the logic functio...

Minimize the logic function F(A, B, C, D) = ∑ m(1,3,5,8,9,11,15) + d(2,13) using K-maps Ans. The logic function minimization of F(A, B, C, D) = ∑ m(1,3,5,8,9,11.15) + d(2,13) by

Explain extended binary coded decimal interchange code, Q. Explain Extended...

Q. Explain Extended Binary Coded Decimal Interchange Code? Extended Binary Coded Decimal Interchange Code (EBCDIC) is a character-encoding format employed by IBM mainframes. It

What is insertion sort, What is insertion sort? Insertion Sort : One o...

What is insertion sort? Insertion Sort : One of the easiest sorting algorithms is the insertion sort. Insertion sort having of n - 1 passes. For pass p = 2 by n, insertion so

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages