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

Security protocols used for e-commerce applications, Explain dissimilar sec...

Explain dissimilar security protocols used for e-commerce applications.   The e-commerce systems of today are composed of a number of components including: a commerce server, d

How to call a wml script from a wml page, WML & WML Script 1. How to ca...

WML & WML Script 1. How to call a WML Script from a WML Page? 2. Write a brief note on WML Script Operators and Expressions. 3. Write brief notes on WML Script Statements

Simulate a worm propagation considering traffic delay, At time t when an in...

At time t when an infected machine scans and finds a vulnerable machine, the vulnerable one will be compromised and start to scan and infect others at time t+X, where X is a r.v. f

Performance of pipelines with stalls, Performance of Pipelines with Stalls:...

Performance of Pipelines with Stalls: A stall is reason of the pipeline performance to degrade the ideal performance.                                             Average in

Show independent loops in fortran program, Q. Show Independent loops in for...

Q. Show Independent loops in fortran program? In the subsequent code portion the directives point to the outer two loops are independent. The inner loop allocates elements of A

Static or dynamic - artificial intelligence, Static or Dynamic - artificial...

Static or Dynamic - artificial intelligence An environment is static if it doesn't change while an agent's program is making the decision about how to act. When programming ag

State the implementation of a security policy, State the implementation of ...

State the implementation of a security policy The implementation of a security policy should invariably cover all parameters of security such as physical access to the server,

Types of messages, Q. Types of messages? The messages can be of many ty...

Q. Types of messages? The messages can be of many types.  A specific field of all messages may be reserved to signify message type.  The message passing primitives are like thi

Explain concurrent sharing, Explain Concurrent Sharing Here a number of...

Explain Concurrent Sharing Here a number of programs that may share a file simultaneously. While this is the case, it is necessary to prevent mutual interference among them. Th

Define the concept of inheritance, Define the concept of Inheritance I...

Define the concept of Inheritance Inheritance is property of reusing the code within the object oriented development. While modelling, we look at the all the classes, and try

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