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

Define terminal symbols, Define Terminal symbols? Terminal symbols: T...

Define Terminal symbols? Terminal symbols: These are literal strings forming the input of a formal grammar and can't be broken down in slighter units without losing literal m

Levels of parallel processing, Levels Of Parallel Processing Depending ...

Levels Of Parallel Processing Depending upon the difficulty under consideration, parallelism in the answer of the problem may be achieved at dissimilar levels and in different

Human–computer interaction, In the view of the M364 module team, HCI has be...

In the view of the M364 module team, HCI has been superseded by ID. This is because HCI traditionally concentrated upon desktop computers with single users, whereas ID includes the

Inverse of exclusive or known as xnor gate, Truth table of NAND and NOR can...

Truth table of NAND and NOR can be made from NOT (A AND B) and NOT (A OR B) correspondingly. Exclusive OR (XOR) is a special gate whose output is one only if two inputs aren't equa

Determine capacity in bytes of a certain memory, A certain memory has a cap...

A certain memory has a capacity of 4K × 8 (i) How many data input and data output lines does it have? (ii) How many address lines does it have? (iii) What is its capacity in bytes

Explain input - output techniques, Q. Explain the Hard Disk Controller & F...

Q. Explain the Hard Disk Controller & Floppy Disk Controller with necessary diagrams. Q. Explain Input/Output Techniques (Data Transfer Techniques).

Linear array-various interconnection networks-fully connecte, Linear Array ...

Linear Array This is a mainly fundamental interconnection pattern. In this processors are linked in a linear one-dimensional array. The intial and last processors are linked w

What do you mean by software poll, Q. What do you mean by Software Poll? ...

Q. What do you mean by Software Poll? In this scheme on occurrence of an interrupt, processor jumps to an interrupt service program or routine whose job is to poll (roll call

Layered architecture of edi, Layered Architecture of EDI: EDI is most c...

Layered Architecture of EDI: EDI is most commonly applied in the implementation and settlement phases of the trade cycle. In implementation of a simple trade exchange, the cust

Can we delete a domain, Can you delete a domain, which is being used by dat...

Can you delete a domain, which is being used by data elements? No.

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages