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

Explain switch statement, Switch This is another form of the multi way ...

Switch This is another form of the multi way decision. It is well structured, but can only be used in certain cases where; Only one variable is tested, all branches must

State the Process of sending signals to televisions, Determine about the Si...

Determine about the Signals to televisions Signals to televisions are now sent digitally thus need a computer to interpret as well as decode these signals into a sound/picture;

Explain 32 to 1 multiplexer tree, Why is Multiplexer Tree needed? Draw ...

Why is Multiplexer Tree needed? Draw the block diagram of a 32:1 Multiplexer Tree and explain how input is directed to the output in this system. Ans. One of the possible

What are the probabilities that the patient has the virus, In a clinic 0.15...

In a clinic 0.15 of the patients have got the HIV virus. Assume a blood test is carried out on a patient. If the patient has got the virus the test will turn out positive with prob

Artificial intelligence, 2. The Turing test has often been incorrectly inte...

2. The Turing test has often been incorrectly interpreted as being a test of whether or not a person could distinguish between responses from a computer and responses from a person

Explain concurrent sharing, Explain Concurrent sharing. Concurrent s...

Explain Concurrent sharing. Concurrent sharing: Some number of programs may share a file concurrently. While this is the case, this is essential to ignore mutual interferen

Explain definition of fibonacci, Explain definition of fibonacci Where ...

Explain definition of fibonacci Where an input value gives a trivial result, it is returned directly, otherwise the function calls itself, passing a changed version of the inpu

What are the components of loadrunner, The workings of LoadRunner are The V...

The workings of LoadRunner are The Virtual User Generator, Controller, and the Agent process, LoadRunner examines and Monitoring, LoadRunner Books Online. What Component of LoadRun

Drawbacks to resolution theorem, Drawbacks to resolution theorem: Thus...

Drawbacks to resolution theorem: Thus the underlining here identifies some drawbacks to resolution theorem proving: It only works for true theorems that can be expresse

Problem specification - logic programs, Problem Specification : Hence ...

Problem Specification : Hence given the above context for "ILP" there we can state the learning problem as follows: that we are given a set of positive and a set of negative e

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages