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 how a critical section avoids race condition, Explain how a critica...

Explain how a critical section avoids Race condition. To prevent Race Condition, concurrent processes should be synchronized. Data consistency needs that only one process m

Engneering physics, explain michesons inferometer

explain michesons inferometer

Multiple layers of intranet security, Multiple Layers of Intranet Security ...

Multiple Layers of Intranet Security Security requirements vary from organisation to organisation. They also vary on the content that the organisations intend to place on their

First-order inference rules, First-Order Inference Rules: Here now we ...

First-Order Inference Rules: Here now we have a clear definition of a first-order model is that we can define soundness for first-order inference rules in the same way such we

What is mini frame size where propagation speed is 200 m µs, A CSMA/CD bus ...

A CSMA/CD bus spans a distance of 1.5 Km. If data is 5 Mbps, What is minimum frame size where propagation speed in LAN cable is 200 m µs. Usual propagation speed in LAN cables

What are the advantages of interviewing, What are the Advantages of Intervi...

What are the Advantages of Interviewing - Opportunity to motivate interviewee to give open and free answers to analyst's questions - allows analyst to probe for more f

Connectives - first-order logic , Connectives - first-order logic: We ...

Connectives - first-order logic: We can string predicates all together in a sentence by using connectives into the same way to conduct that we did for propositional logic. We

What are the disadvantages of a vpn implementation, What are the Disadvanta...

What are the Disadvantages of a VPN implementation The greatest disadvantage of a VPN implementation is its non-flexibility to accept unknown locations. VPN works extremely wel

Define coupling, Define Coupling? Coupling means the measure of interco...

Define Coupling? Coupling means the measure of interconnection between modules in a program structure. It depends on the interface problem between modules.

Determine the o/p for JK flip flop with J=1 & K=0, For JK flip flop with J=...

For JK flip flop with J=1, K=0, the output after clock pulse will be ? Ans. The output will be 1 after clock pulse.

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages