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

First order logic, "George has a dog called Ernie, which is a trained Labra...

"George has a dog called Ernie, which is a trained Labrador. Trained Labradors and poodles are obedient, and all obedient dogs are good dogs. All good dogs that have a master will

Define the full form of ssl, Define the full form of SSL SSL has becom...

Define the full form of SSL SSL has become fundamental to the spread of Internet community, and commerce and trade over Internet. Over years, the spread of its use for an incr

What is control panel, A system utility that comes with Windows that permit...

A system utility that comes with Windows that permits the use to change a variety of dissimilar Windows and system settings.

Relation ship, what is relationship among objects in software engineering??...

what is relationship among objects in software engineering??

Define opcode and operands, Q. Define Opcode and Operands? The most com...

Q. Define Opcode and Operands? The most common fields which are found in instruction formats are: Opcode: (What operation to perform?)  An operation code field cal

Callable modules of program code within one abap/4 program, How can we crea...

How can we create callable modules of program code within one ABAP/4 program? We can create callable modules by two techniques:- By defining Macros. By creating incl

Can we call reports from interactive reporting lists, Can we call reports ...

Can we call reports and transactions from interactive reporting lists? Yes.  It also permits you to call transactions or other reports from lists.  These programs then use val

linq file extension, What is the LINQ file extension that interacts with C...

What is the LINQ file extension that interacts with Code Behinds objects? Ans) The extension of the file is .dbml

How cloud can be used in event schedules, How cloud can be used in Event Sc...

How cloud can be used in Event Schedules and Management with an example. Web-based calendars can be used to post dates and schedules for specific public events, such as school

Explain the structure of virtual enterprise, Explain the Structure of Virtu...

Explain the Structure of Virtual Enterprise. The virtual enterprise can be a suitable structure to explore the emerging opportunities for forming value in the information socie

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