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

For what an append query be used, For what an append query be used? It ...

For what an append query be used? It is simple to append records from one table to another using an append query. There is no requirement for the tables to have the similar num

Prove using boolean algebra, Q.Prove using Boolean Algebra 1. X (X+Y) = ...

Q.Prove using Boolean Algebra 1. X (X+Y) = X 2. AB + AC + BC' = AC + BC' 3. (A+B+C) (A+B'+C') (A+B+C') (A+B'+C)=A 4. (A+B'+C) (AB+A'C) = (A+C) (A'+B) 5. XY + XZ + YZ

Can a .net web application consume java web service, Can a .NET web applica...

Can a .NET web application consume Java web service? Yes Offcourse.Actually Webservices are independent to language. It depends on WSDL and SOAP. so any single can develope t

Determine about the the difference engine - pascaline, THE DIFFERENCE ENGIN...

THE DIFFERENCE ENGINE - Pascaline The difference enigne was based on the mathematical principle of finite differences and was used to solve calculations based on large numbers

Overflow or underflow for floating point numbers, In floating point numbers...

In floating point numbers when so you say that an overflow or underflow has occurred? Ans: A) In single precision numbers when an exponent is less than +127 then we say that

Messagebox with the message, We have to make an application that will dynam...

We have to make an application that will dynamically add a menu strip with menu items to a form(ie NOT dragged and dropped onto the form) in Visual Basic. The menu strip should be

Sorting algorithms, Two way merge sort for 84,83,78,90,23,123,98,159,8,200

Two way merge sort for 84,83,78,90,23,123,98,159,8,200

Incorporate exception handling, Assignment (to be published later) will req...

Assignment (to be published later) will require you to extend the menu-driven application developed in Assignment 2B, to incorporate the recording details of the doctors who will b

Computer grphics, Advantages of DDa algorithms for line drawimg

Advantages of DDa algorithms for line drawimg

Determine about the intranet server, Determine about the Intranet server ...

Determine about the Intranet server The success or usage of the Intranet server is measured by the number of operations it handles per Unit time. The selection of a good server

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages