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

K-nearest neighbor for text classification, Assignment 2: K-nearest neighbo...

Assignment 2: K-nearest neighbor for text classification. The goal of text classification is to identify the topic for a piece of text (news article, web-blog, etc.). Text clas

Define congestion and grade of service, Define congestion and grade of serv...

Define congestion and grade of service. Congestion : This is uneconomic to give sufficient equipment to carry all the traffic which could possibly be offered to a telec

Important steps of the boot process, Question: Computer forensic examin...

Question: Computer forensic examiners should be concerned with at least two important settings stored in RTC/NVRAM, which is accessed by the BIOS software most often called Set

Implementation of arithmetic circuits, Implementation of Arithmetic Circuit...

Implementation of Arithmetic Circuits for Arithmetic Micro-operation An arithmetic circuit can be implemented by a number of full adder circuits or parallel adder circuits. F

Define the term web service with example, Define the term web service with ...

Define the term web service with example. A web service is an application that operate over a network-typically, over the Internet. Most typically, a web service is an API that

How are interrupt handled by the operating system, How are interrupt hand...

How are interrupt handled by the operating system? The fundamental interrupt mechanism works as follows: The CPU hardware has wire called the interrupt-request line which

Performance analysis, In order to calculate the performance of the program,...

In order to calculate the performance of the program, the normal form of analysis of the program is to simply measure the total amount of CPU time needed to implement the various p

No-signs to the write statement, Suppressing the number signs (+/-) is carr...

Suppressing the number signs (+/-) is carried out using the addition NO-SIGNS to the Write statement. Statement is wrong.

Ann representation, ANN Representation: Mostly 'ANNs' are taught on "A...

ANN Representation: Mostly 'ANNs' are taught on "AI" courses since their motivation from brain studies and the fact which they are used in an "AI" task and namely machine lear

Explain advantages and disadvantages of a active document, Explain advantag...

Explain advantages and disadvantages of a active document. The advantage of an active document over a dynamic document lies in its capability to update the information contin

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages