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 is information technology, Information Technology is nothing but the s...

Information Technology is nothing but the study, design, development, execution, support and management of computer based information systems mainly the applications software & har

Component fulfil this requirement, A component has the time to failure dist...

A component has the time to failure distribution that is modelled as the Weibull distribution with shape parameter 3 and scale parameter of 36 months. This component is planned to

C, "Super ASCII", if it contains the character frequency equal to their asc...

"Super ASCII", if it contains the character frequency equal to their ascii values. String will contain only lower case alphabets (''a''-''z'') and the ascii values will starts from

Discuss about charles babbage in brief, Discuss about Charles Babbagein bri...

Discuss about Charles Babbagein brief Mechanism for advancing or reversing of control card were allowed therefore enabling execution of any desired instruction. In ot

Why echo suppressor is detrimental to full duplex operation, Echo suppresso...

Echo suppressor is detrimental to full duplex operation because? This disables one of the two pairs in a four-wire trunk line while a signal is detected upon another pair.

Modality and cardinality, Ask question #Midifference between cardinality an...

Ask question #Midifference between cardinality and modality nimum 100 words accepted#

Estate agency application, Build U Like are a building company specialising...

Build U Like are a building company specialising in hard landscaping. They lay patios, build walls, lay drives etc. for their customers. A customer will remain in the system even t

Cache memory, explain associative mapping

explain associative mapping

Determine the begin - end keywords, Determine the begin - end keywords ...

Determine the begin - end keywords Group several statements together. Cause the statements to be evaluated sequentially (one at a time) -> Any timing within sequential group

Prove, state and prove distributive law?

state and prove distributive law?

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages