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

Illustrate diffrent types of modems, Q. Illustrate Diffrent types of modems...

Q. Illustrate Diffrent types of modems? There are four different types of modems: half-duplex, full-duplex, synchronous, and asynchronous.With half-duplex modems data can be tr

Texts in the text elements of the program, Which Texts in the text elemen...

Which Texts in the text elements of the program helps in changing the displayed names of variables in the parameters statement. Selection text in the elements of the program

How many types of memory in computer architecture, Computer have many type ...

Computer have many type of memory like primary memory , Auxiliary memory , Cache memory , buffer memory ,virtual memory , The work of all memory heterogeneously primary memory

Determine the adding operations of describe function, Adding Operations of ...

Adding Operations of describe function Whenever take a look at the operations in OOPs you find queries about attributes or associations in object model (such as student.name)

Explain the basic architecture of digital switching systems, Explain the ba...

Explain the basic architecture of digital switching systems. An easy N X N time division space switch is demonstrated in figure. The switch can be shown in an equivalence for

The different storage classes in c, What are the different storage classes ...

What are the different storage classes in C? Storage classes in C There are four storage classes in C: a. Automatic storage class: b. Register storage class: c

Payment, how can get payment

how can get payment

What are set up time & hold time constraints, What do they signify Which on...

What do they signify Which one is critical for calculating maximum clock frequency of a circuit? Ans) Set up time constraint implies how late the input signal can arrive befor

Neural architectures, Neural architectures are appealing as mechanisms for...

Neural architectures are appealing as mechanisms for implementing intelligence for a number of reasons. Traditional AI programs tend to be brittle and overly sensitive to noise

Replacement and substitution, Replacement and substitution: However, e...

Replacement and substitution: However, equivalences allow us to change one sentence with another without affecting the meaning, it means we know already that replacing one sid

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages