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

What are the steps in executing the program, What are the steps in executin...

What are the steps in executing the program? 1.Fetch 2.Decode 3.Execute 4.Store

A switch statement , Which is more efficient, a switch statement or an if e...

Which is more efficient, a switch statement or an if else chain? Ans) The differences, if any, are likely to be small. The switch statement was designed to be efficiently impl

Can we use write statements in screen fields, Can we use WRITE statements i...

Can we use WRITE statements in screen fields? If not how is data transferred from field data to screen fields? We cannot write field data to the screen using the WRITE stateme

What is model, What is model?  A universe together with an assignment o...

What is model?  A universe together with an assignment of relations to relation symbol is known as a model.  A model M is a tuple (U, P1, P2..Pk), where U is the universe and P

What is artificial intelligence neural networks, For the sake of trying to ...

For the sake of trying to make intelligent behavior though really all that's being done is work with artificial neural networks where every cell is a very easy processor and the go

What is verification method, The verification method states how Robot compa...

The verification method states how Robot compares the baseline data captured while recording with the data captured during playback.

A subroutine can be terminated unconditionally using exit, A subroutine can...

A subroutine can be terminated unconditionally using EXIT. True.

What is a service in sap terminology, What is a Service in SAP terminology?...

What is a Service in SAP terminology? A service refers to something offered by an s/w component.

Senior project, any ideas about senior project topic

any ideas about senior project topic

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