Prove the equations using the boolean algebraic theorems, Computer Engineering

Assignment Help:

Prove the equations A + A‾ .B + A.B‾ = A + B using the Boolean algebraic theorems ?

Ans.
The equation is A + A‾.B + A.B‾ = A + B
L.H.S. = A + A‾ .B + A.B‾
= (A + A.B‾) + A‾.B
= A (1+ B‾) + A‾.B
= A + A‾ .B (? 1+B‾ =1)
= (A +A‾ ) (A + B)
= (A + B) (? A + A‾ = 1)
= R.H.S
Thus Proved

Related Discussions:- Prove the equations using the boolean algebraic theorems

Radius of curvature in differential calculas, find the radius of curvature ...

find the radius of curvature at the point (3,3) at a point x3+xy2-6y2=0?

Explain their characteristics and limitations of grammar, Identify the diff...

Identify the different classes of grammar. Explain their characteristics and limitations. As proposed through Noam Chomsky that Chomsky hierarchy contains the subsequent level

A subroutine can be terminated unconditionally using exit, A subroutine can...

A subroutine can be terminated unconditionally using EXIT. True.

What are the advantages of having e-commerce over extranets, What are the a...

What are the advantages of having e-commerce over extranets? Extranets are about " joining up" the supply chain-suppliers, resellers, distributors, customers, etc.-enabling

Basic software, Basic Software: The basic software is also referred to...

Basic Software: The basic software is also referred to as utilities. Basic software packages are available for performing operations such as data entry and validation, sorting

Calculate traffic offered in erlangs in a particular exchang, In a particul...

In a particular exchange during busy hour 1200 calls were offered to a group of trunks, during this time 6 calls were lost. The average call duration being 3 minutes Calculate Traf

Software engineering, assignment on transaction flow, transform flow, trans...

assignment on transaction flow, transform flow, transform mapping: refining the architectural design

Explain non-folded network, Explain Non-Folded network Non-Folded Netw...

Explain Non-Folded network Non-Folded Network: In a switching network, every inlet/outlet connection may be utilized for inter exchange transmission. In this case, the .excha

Explain about algebraic simplification, Q. Explain about Algebraic Simplifi...

Q. Explain about Algebraic Simplification? We have already determined algebraic simplification of logic circuit. An algebraic expression can exist in SOP or POS forms. Let's i

State some of the uses of ms access, MS Access provides a vast range of fun...

MS Access provides a vast range of functions some of them are ? It is used by small business, departments of large corporations, and by amateurs to make applications on their d

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages