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

Explain the storage class auto, Explain The Storage Class auto The Stor...

Explain The Storage Class auto The Storage Class auto : Variables declared within function bodies are automatic by default. Thus, automatic is the most common of the four stora

Explain use of parallel sections construct, Q. Explain use of parallel sect...

Q. Explain use of parallel sections construct? This illustration explains use of parallel sections construct. Three functions, fun1, fun2, and fun3, all can be executed simulta

Why is xml superior to other forms of data exchange, Why is XML superior to...

Why is XML superior to other forms of data exchange? The XML gives universal data format for integrated electronic business solutions. Other database systems and Relational dat

What are the disadvantages of linux, What are the disadvantages of Linux? ...

What are the disadvantages of Linux? Learning Lack of comparable programs More technical skill required

Explain sequential sharing, Explain Sequential Sharing In this sharing ...

Explain Sequential Sharing In this sharing method, a file can be shared by just one program at a time, i.e. file accesses by P1 and P2 are spaced out over time. A lock field ca

What is the difference between strong ai and weak ai, Strong AI makes the b...

Strong AI makes the bold claim that computers can be made to think on a level (at least) equivalent to humans. Weak AI only states that some "thinking-like" features can be added t

Remote-load latency problem, Remote-load Latency Problem:  When one process...

Remote-load Latency Problem:  When one processor requires some remote loading of data by other nodes, then the processor need to wait for these two remote load operations. The long

How do you populate data into a multiple line field, How do you populate da...

How do you populate data into a multiple line field? To populate data into a multiple line field, an index is added to the field name to show which line is to be populated by t

Define various system, Define various system? Single job system: Only...

Define various system? Single job system: Only one program may be run at a time, and therefore only one person might be work on a machine at one time.  Multi job system:

Define smtp, SMTP Simple Mail Transfer Protocol, a protocol for sending...

SMTP Simple Mail Transfer Protocol, a protocol for sending e-mail messages among servers. Most e-mail systems that send mail over the Internet use SMTP to send messages from si

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