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

what respects the advance builds, Describe your choice specifically and fu...

Describe your choice specifically and fully, explaining and discussing at length in what respects the advance builds upon or departs from present technology or practice and the sev

Replacement and substitution, Replacement and substitution: However, e...

Replacement and substitution: However, equivalences allow us to change one sentence with another without affecting the meaning, it means we know already that replacing one sid

What is glitch and what are causes of it, What is glitch? What causes this ...

What is glitch? What causes this (describe with waveform)? How to overcome this? The gated clock‘s corresponding timing diagram demonstrates that it implementation can lead to

Show the ranges of port numbers, Q. Show the ranges of Port numbers? P...

Q. Show the ranges of Port numbers? Port numbers are divided into three ranges: Well-known ports are those from 0 through 1,023. Registered ports are those from

Importance of artificial intelligence, Businesses are interested in AI bec...

Businesses are interested in AI because of the characteristics it offers that no other systems type offers. That is AI ability to: a. Preserve Intelligence and Knowledge: C

Determine maximum possible time of 4-bit synchronous counter, A 4-bit synch...

A 4-bit synchronous counter uses flip-flops with propagation delay times of 15 ns each.  The maximum possible time required for change of state will be ? Ans. 15 ns since in sy

Name a different return types of a controller action method, The following...

The following are just a few return types of a controller action process. In common an action process can return an instance of an any class that derives from Action Result class.

To which one erlang is equal, One Erlang is equal to (A)  3600 CCS ...

One Erlang is equal to (A)  3600 CCS (B)  36 CCS (C) 60 CCS (D)  24 CCS Ans: One Erlang is equivalent to 3600 CCS.

Explain the graphic display system, Q. Explain the graphic display system? ...

Q. Explain the graphic display system? The function of your graphic display system is to display bit-mapped graphics on your monitor.  The image displayed on your system so com

Show the developments that happened in third generation, Q. Show the develo...

Q. Show the developments that happened in third generation? The main developments that happened in third generation can be summarized as below: Application of IC circuit

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