Determine Boolean identities using Boolean algebra, Computer Engineering

Assignment Help:

Prove the following identities
 
a. A
‾B‾C‾ + A‾BC‾ + AB‾C‾ + ABC‾ = C
b. AB + ABC + A
‾ B + AB‾C = B + AC

Ans.

a. LHS = A'B'C' + A'BC' + AB'C' + ABC'
= A'C' (B' + B) + AC' (B' + B)
= A'C' + AC'   [as B'+B = 1]
= C' (A' + A)
= C'                   [since A'+A =1]
= RHS.
Thus Proved

b. LHS = AB + ABC + A'B + AB'C

= B + AC
= B (A + A') +  AC (B + B')
= B + AC   [as B + B' = A + A' = 1]
= B + AC
= RHS.
Thus Proved


Related Discussions:- Determine Boolean identities using Boolean algebra

What are pooled tables, Normal 0 false false false EN-I...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

What is functional modelling, What is  Functional Modelling  We know ...

What is  Functional Modelling  We know that Data flow modelling is an ordinary technique used for analysis of a problem in software engineering. It is very useful for analyzi

Distinguish between ROM, Distinguish between ROM, PROM, EPROM, EEPROM. ...

Distinguish between ROM, PROM, EPROM, EEPROM. Ans: ROM: It also called Read Only Memory is a Permanent Memory. The data is permanently stored and cannot be changed in Perm

Static and dynamic interconnection network, Static and Dynamic Interconnect...

Static and Dynamic Interconnection Network In a static network the connection among input and output nodes is permanent and cannot be changed. Static interconnection network ca

Conclusion - artificial intelligence , Conclusion - artificial intelligence...

Conclusion - artificial intelligence : If we can determine what the exactly state of the world will be after an agent's action, so we can say the environment is deterministic.

What do you mean by best fit, What do you mean by best fit?  Best fit a...

What do you mean by best fit?  Best fit allocates the smallest hole that is big enough. The whole list has to be searched, unless it is sorted by size. This method makes the sm

What is ai, Artificial intelligence ("AI") can mean a lot of things too man...

Artificial intelligence ("AI") can mean a lot of things too many people. Much confusion arises that the word 'intelligence' is ill-defined. The phrase is so broad that people have

Explain increments and skips subsequent instruction, Q. Explain Increments ...

Q. Explain Increments and skips subsequent instruction? Increments A and skips subsequent instruction if the content of A has become 0. This is a complex instruction then requi

Chemistry, what are the applications of photochemistry?

what are the applications of photochemistry?

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