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

Architecture of artificial neural networks, Architecture of Artificial neur...

Architecture of Artificial neural networks: Presumably "Artificial Neural Networks" consist of a number of units that are mini calculation devices. But they take in real-value

What are the phases of video production, Question 1: a) What are the p...

Question 1: a) What are the phases of video production? b) What do you mean by storyboards? c) What are the differences between Point and Area (or Paragraph) Text?

Define coupling, Define Coupling? Coupling means the measure of interco...

Define Coupling? Coupling means the measure of interconnection between modules in a program structure. It depends on the interface problem between modules.

Explain client server model, Explain Client Server Model. In the client...

Explain Client Server Model. In the client- server model, communication usually takes the form of a request message from the client to the server asking for several works to be

Microprocesser, explain the bock and pin diagram of 8259 micropocesser

explain the bock and pin diagram of 8259 micropocesser

What are modes of operation of centralized spc, What are modes of operation...

What are modes of operation of centralized SPC? In about all the present day electronic switching systems utilizing centralized control, only a two-processor configuration is

Non repudiation, What is non-repudiation? how can it be achieved in designi...

What is non-repudiation? how can it be achieved in designing e-cash based system?

What is orientation- object-oriented technology, What is Orientation- obj...

What is Orientation- object-oriented technology There are many characteristics of object-oriented technology. A few of these characteristics have been discussed in cour

Explain common channel signalling, Common channel signalling ...

Common channel signalling ? Common channel signalling requires no additional transmission help or facilities.

Hazard (computer architecture), Hazard (computer architecture): In the...

Hazard (computer architecture): In the computer architecture, a hazard is a possible problem that can occurs in a pipelined processor. It concern to the possibility of erroneo

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages