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

Determine about the security policy, Determine about the Security Policy ...

Determine about the Security Policy In the United States, the government has a separate organisation looking after the security measures and providing guidelines to all departm

For what is defparam used, For what is defparam used? Though, during ...

For what is defparam used? Though, during compilation of Verilog modules, parameter values can be altered separately for every module instance. This allows us to pa

Explain vector processing with pipelining, Vector Processing with Pipelinin...

Vector Processing with Pipelining Because in vector processing vector instructions execute the similar computation on various data operands repeatedly, vector processing is the

Define the edge-triggered flip-flops, Define the Edge-Triggered Flip-flops?...

Define the Edge-Triggered Flip-flops? An edge-triggered flip-flop changes states either at the negative edge (falling edge) or at the positive edge (rising edge) of the clock p

What is clr, What is CLR? CLR is .NET equivalent of Java Virtual Mach...

What is CLR? CLR is .NET equivalent of Java Virtual Machine (JVM). It is the runtime that changes a MSIL code into the host machine language code, which is then implemented a

Differences between a uri, Question: (a) Describe the differences betwe...

Question: (a) Describe the differences between a URI, a URN and a URL. (b) What are the five basic syntax rules for a well-formed XML document? (c) Provide four uses of

Hardware description languages, shorte note on hardware description languag...

shorte note on hardware description language

What are the types of data warehouses, What are the types of data warehouse...

What are the types of data warehouses? Various types of data warehouses are illustrated below: a) Financial Data Warehouses b) Insurance Data Warehouses c) Human Resou

Techno hype - obstacle to information system, Techno hype - Obstacle to Inf...

Techno hype - Obstacle to Information System New technology has always been accompanied by a certain amount of euphoria that inevitably leads to unrealistic expectations place

Determine about the blocking suspicious behaviour, Determine about the bloc...

Determine about the blocking suspicious behaviour The response could be spontaneous and automatic, with an option to generate the alert message manually. The history recorded i

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages