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 the disadvantages off-the-shelf, Explain the disadvantages Off-the...

Explain the disadvantages Off-the-shelf - can be over-complex since it tries to cover as many characteristics as possible (for example most users of Word only utilise about

Explain e-mail gateways, Explain E-mail gateways. Email using SMTP work...

Explain E-mail gateways. Email using SMTP works better while both the sender and the receiver are on the Internet and can support TCP connections among sender and receiver. Tho

How read and write is performed using sockets, How read and write is perfor...

How read and write is performed using sockets? An application program interface gives the details of how can an application program interacts along with protocol software. But

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)

Evaluate sop expression, Q. For function F(x,y,z) = ∑m(0,1,2,6,7) using TRU...

Q. For function F(x,y,z) = ∑m(0,1,2,6,7) using TRUTH TABLE only. 1. Find SOP expression 2. Implement this simplified expression using two level AND-to-OR gate network 3. I

Explain tree, Tree (recursive definition) A tree is a finite set of one...

Tree (recursive definition) A tree is a finite set of one or more than one nodes such that. (1) There is a specially designated node known as the root. (2) The left over

Translating from english to first-order logic, Translating from English to ...

Translating from English to First-Order Logic: Still we have now seen some of examples of first order sentences, than you should practice writing down English sentences in fir

Working of fully parallel associative processor, Q. Working of Fully Parall...

Q. Working of Fully Parallel Associative Processor? Fully Parallel Associative Processor: This processor accepts the bit parallel memory organisation. There are 2 kinds of this

What is assembly language, What is assembly language? Assembly languag...

What is assembly language? Assembly language : It is a family of low-level language for microprocessors, programming computers, microcontrollers etc. All are implement a symbo

How is network examined by intranets, How is network examined by intranets,...

How is network examined by intranets, extranets and Internet? When more and more businesses seek to build their mission critical business solutions onto IP networks, networking

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages