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 do you mean by electronic funds transfer, What do you mean by Electron...

What do you mean by Electronic Funds Transfer? Electronic Funds Transfer: It’s an electronic payment method which transfers the money value through one bank account to o

What is application software, What is application software? Give example. ...

What is application software? Give example. Application programs are usually written in a high level programming language, in which the programmer states mathematical or text p

What is collective message passing, Q. What is Collective Message Passing? ...

Q. What is Collective Message Passing? In collective message passing all the processes of a group take part in communication. MPI offers a number of functions to apply the coll

What is reducibility, What is reducibility?  The primary method of prov...

What is reducibility?  The primary method of proving some problems are computationally unsolvable.       It is known as reducibility. Reducibility always includes two problems

Branding choices, Develop a web traffic plan - suppose that there is no/min...

Develop a web traffic plan - suppose that there is no/minimal advertising budget so you will require to look at branding choices & site design, word-of-mouth and publicity as your

Explain about semiconductor memories, Q. Explain about Semiconductor Memori...

Q. Explain about Semiconductor Memories? Originally IC technology was used for constructing processor however soon it was realized that same technology can be used for construc

Matlab, Use the colon operation to create a vector x of numbers -10 through...

Use the colon operation to create a vector x of numbers -10 through 10 in steps of 1. Use matrix operations to create a vector y where each element is 5 more than 2 times the corre

Granularity-concept of parallel execution and concurrent , Granularity ...

Granularity Granularity refers to the quantity of computation done in parallel relative to the dimension of the entire program. In parallel computing, granularity is a qualitat

Explain busy hour call attempts in telephone traffic, With reference to tel...

With reference to telephone traffic, explain the terms BHCA. BHCA: The number of call attempts in the busy hour is termed as busy hour call attempts (BHCA) that is an importa

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