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

Convert, haw to convert context free grammar to regular grammar

haw to convert context free grammar to regular grammar

How to manage the web based projects, How to manage the web based projects?...

How to manage the web based projects? Many project management applications contain additional functions useful in the management of group projects. These features may contain g

Discuss the process of data mining, Discuss the process of data mining? ...

Discuss the process of data mining? The process of data mining having of three stages: (1)The initial exploration (2) Model building or pattern identification with validat

Differentiate concurrent and parallel executions, Differentiate concurrent ...

Differentiate concurrent and parallel executions ? The words "parallel "and "concurrent" are often used interchangeably, however they are different. Parallel execution is connec

Security, We now consider the relation between passwords and key size. For ...

We now consider the relation between passwords and key size. For this purpose consider a cryptosystem where the user enters a key in the form of a password. Assume a password consi

An 8086 interrupt, An 8086 interrupt can take placedue to the following rea...

An 8086 interrupt can take placedue to the following reasons: 1. Hardware interrupts caused by some external hardware device. 2. Software interrupts that can be invoked wit

Where can i find conference information, Georg Thimm handles a webpage that...

Georg Thimm handles a webpage that lets you search for upcoming or past conferences in a range of AI disciplines.

the monte carlo simulation technique, The demand placed on a system is exp...

The demand placed on a system is explained by a lognormally distributed random variable with mean 50 and standard deviation of 10. The capacity of the system is modeled by a Weibul

Instruction cycle-flynn’s classification, Instruction Cycle The instruc...

Instruction Cycle The instruction cycle consists of a series of steps needed for the implementation of an instruction in a program. A typical instruction in a program is descri

Mathematical simulation and modeling applications, Mathematical Simulation ...

Mathematical Simulation and Modeling Applications The tasks including modeling and mathematical simulation require a lot of parallel processing. Three basic formalisms in model

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages