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

Use of parallel construct with private clause, Q. Use of parallel construct...

Q. Use of parallel construct with private clause? In this example we would see use of parallel construct with private and firstprivate clauses. At end of program i and j remain

Explain the principles of design, In structure chart whole application is d...

In structure chart whole application is divided into modules (set of program instructions) and modules are designed according to some principles of design. These are: Modularit

Main features of TCP, The main features of TCP are: Reliability: TCP...

The main features of TCP are: Reliability: TCP makes sure that any data sent by a sender arrives at destination as it was sent. There can't be any data loss or change in the

What is virtual memory, What is virtual memory? Virtual memory is a met...

What is virtual memory? Virtual memory is a method used in some large computer systems that allow the user to construct program as by a large memory space were available, equal

Colour - elements of composition, Colour The use of colour is consider...

Colour The use of colour is considered by many to be one of the most important areas in composition. Colours can be used in isolation or specific combinations to create partic

Explain characteristics of the artificial neural networks, Question 1: ...

Question 1: Explain in detail the characteristics of the following artificial neural networks. (a) Recurrent Neural Networks. (b) Self-organising Mapping Neural Networks.

Illustration what is the cause of brownian motion, Q. Illustration what is ...

Q. Illustration what is the cause of Brownian motion? Answer:- Molecules in a gas move freely, randomly, constantly in all directions and at high speeds. They are capable

Why data bus is bidirectional, Why data bus is bidirectional and address bu...

Why data bus is bidirectional and address bus is unidirectional in most microprocessors? The data bus is bidirectional because the data bus has to transfer data among the CPU a

Define addressing modes, Define addressing modes. The dissimilar ways i...

Define addressing modes. The dissimilar ways in which the location of an operand is specified in an instruction are referred to as addressing modes.

Differentiate between protection and security, Differentiate between Protec...

Differentiate between Protection and Security Operating system contains a collection of objects, hardware or software. Every object has a unique name and can be accessed via a

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