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

What is a kernel shell, A shell is a program that presents an interface to ...

A shell is a program that presents an interface to several operating system functions and services. The shell is so called because it is an outer layer of interface among the user

How non- textual information is contained in a web page, How non- textual i...

How non- textual information is contained in a web page? Non-textual information as digitized photo and a graphics image is not inserted directly into a HTML document. In place

What is the difference between tcp and udp, TCP and UDP are both transport-...

TCP and UDP are both transport-level protocols. TCP is designed to give reliable statement across a variety of reliable and unreliable networks and internets. UDP gives a conne

the monte carlo simulation technique, The demand placed on a system is exp...

The demand placed on a system is explained by a lognormally distributed random variable with mean 50 and standard deviation of 10. The capacity of the system is modeled by a Weibul

Data structure, sequential files

sequential files

For what purpose Karnaugh map is used, Karnaugh map is used for the purpose...

Karnaugh map is used for the purpose of ? Ans. Karnaugh map is used for, to minimize the terms in a Boolean expression.

Tag do you use to add a hyperlink column to the DataGrid, What tag do you u...

What tag do you use to add a hyperlink column to the DataGrid? Anchor tag is used to add a hyperlink column to the data grid

Capacity and performance of storage - computer architecture, Capacity: ...

Capacity: Raw capacity Total amount of stored information that a medium or storage device can hold is expressed as a quantity of bytes and bits (for example 10.4 megabyte

Perform subtraction in base 5 using r and r-1 complement, Q Write a menu dr...

Q Write a menu driven program to perform subtraction in base 5 using r and (r-1) complement with necessary validations.

How are problems of clock skew minimized, How are problems of clock skew mi...

How are problems of clock skew minimized? Clock skew, when done right, can also benefit a circuit. This can be intentionally introduced to reduce the clock period, at that the

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages