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

Explain the term - rational rose and visio 2000 enterprise, Explain the ter...

Explain the term - Rational Rose and Visio 2000 Enterprise Rational Rose: IBM Rational RequisitePro is a powerful and easy-to-use tool for use case management and requirement

What is locking, What is Locking? When two users at the same time atte...

What is Locking? When two users at the same time attempt to access the similar data record, this is synchronized by a lock mechanism

Explain fundamental instruction set characteristics, Q. Explain fundamental...

Q. Explain fundamental instruction set characteristics? Let's look into a number of fundamental instruction set characteristics: The operands can be addressed in memory,

Convenience of environments -artificial intelligence , Convenience of Envir...

Convenience of Environments -artificial intelligence: In some cases, some aspects of an environment which should be taken into account in decisions about actions may be unavai

Subtraction 11011-11001 using 2's complement, Subtraction 11011-11001 using...

Subtraction 11011-11001 using 2's complement. Ans. 11011 - 11001 = A - B 2's complement of B = 00111 1 1 0 1 1 + 0 0 1 1 1 1 0 0 0 1 0 Ignore carry to get answer as 00010 = 2.

High level expertise, The most useful feature of an expert system is the h...

The most useful feature of an expert system is the high level expertise it provides to aid in problem solving. This expertise can represent the best thinking of the top

Define the terms- action semantics and argouml, Define the terms- Action Se...

Define the terms- Action Semantics and  ArgoUML Action Semantics : Action semantics is a group of firms that have responded to the OMG's RFP to define the action semantics fo

How to add a wait state when creating a verification point, 1. Start to mak...

1. Start to make the verification point. 2. In the confirmation Point Name dialog box, select Apply wait state to confirmation point. 3. Type values for the following option

Discuss the important characteristics of 8237, Question 1 Discuss the w...

Question 1 Discuss the working principle of an interrupt and hardware actions in interrupt handling 2 Discuss the important characteristics of 8237 3 Describe the format

Microprocesser, explain the bock and pin diagram of 8259 micropocesser

explain the bock and pin diagram of 8259 micropocesser

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