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

Decoder, how to make a dec oder

how to make a dec oder

Define miss penalty, Define miss penalty? The extra time required to br...

Define miss penalty? The extra time required to bring the desired information into the cache is known as miss penalty.

Fundamental differences between risc and cisc architecture, Q. Fundamental ...

Q. Fundamental differences between RISC and CISC architecture? Fundamental differences between RISC and CISC architecture. The following table lists following differences:

Eme, state function and path function

state function and path function

Determine the order in which optimized c-scan would service, Consider the s...

Consider the situation in which the disk read/write head is currently located at track 45 (of tracks 0-255) and moving in the positive direction. Assume that the following track re

First order logic, "George has a dog called Ernie, which is a trained Labra...

"George has a dog called Ernie, which is a trained Labrador. Trained Labradors and poodles are obedient, and all obedient dogs are good dogs. All good dogs that have a master will

Non-repudiation achieved in designing e-cash based system, How can non-repu...

How can non-repudiation be achieved into designing e-cash based system? E-cash is fundamentally an online solution. The buyer should validate the coins by the issuer so as to g

What is drive, Any data storage device. This having of  your CD-ROM drive, ...

Any data storage device. This having of  your CD-ROM drive, hard disk drive and floppy disk drive.

Mobile cameras, Mobile cameras are characteristically low-resolution Digita...

Mobile cameras are characteristically low-resolution Digital cameras integrated in mobile set. Photographs are characteristically only good enough to show on low resolution mobile

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