Simplify the boolean expression, Computer Engineering

Assignment Help:

Simplify the Boolean expression F = C(B + C)(A + B + C).

Ans. Simplification of the given Boolean Expression F = C (B +C) (A+B+C) given as
F = C (B+C) (A+B+C)
= CB + CC [(A+B+C)]
= CB + C [(A+B+C)]   (Q CC = C)
= CBA + CBB + CBC + CA + CB + CC
= ABC + CB + CB + CA + CB + CC  (Q CBB =CB & CBC = CB)
= ABC + CB + CA + C   (Q CB+CB+CB = CB; CC = C)
= ABC + BC + C (1+A)
= ABC + BC + C    (Q 1+A = 1)
= ABC + C (1+B)
= ABC + C   (Q 1+B = 1)
= C (1+AB) = C {Q (1+AB)=1}


Related Discussions:- Simplify the boolean expression

Create a scatterplot for each set of variables, For each of the following v...

For each of the following variables: YEARofBIRTH transformed into a new variable called . To do this you will need to use the Command. Hint codes 9998 and 9999 are missin

Ida* search - artificial intelligence, IDA* Search - artificial intelligenc...

IDA* Search - artificial intelligence: A* search is a sophisticated and successful search strategy. In fact, a problem with A* search is that it must keep all states in its me

Find cross points and primary no. in 3-tage satge switching, A three stage ...

A three stage switching structure supports 100 inlets and 400 outlets. Find the number of cross points, and the number of primary and secondary switches used in the design. We

What is the significance of nonactionattribute, In general, all public proc...

In general, all public processes of a controller class are treated as action processes. If you require prevent this default behaviour, just decorate the public process with NonActi

The extra key inserted at the end of the array, The extra key inserted at t...

The extra key inserted at the end of the array is called a Sentinel is the extra key inserted at the end of the array

Find the shortest path, The following is the required interface for the mou...

The following is the required interface for the mouse and cheese problem. Your program is required to read its input from a file named 'maze.txt' In the maze.txt

Explain the essential elements of electronic data interchang, What are the ...

What are the essential elements of Electronic Data Interchange. The necessary elements of Electronic Data Interchange (EDI) are: The use of an electronic transmission me

Illustrate about the word processors with its design, Illustrate about the ...

Illustrate about the Word processors with its design Word processors now have many aspects over and above the original task of generating a typed document. This section would

How i-o interface communicate with processor, Q. How I-O interface communic...

Q. How I-O interface communicate with processor? The above illustration clearly specifies need communication between processor and I/O interface. This communication includes su

What is single program multiple data, Q. What is Single Program Multiple Da...

Q. What is Single Program Multiple Data (SPMD) SPMD is in fact a "high level" programming model which can be built on any arrangement of previously described parallel programmi

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd