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 is the chief advantage of using virtual packets, What is the chief adv...

What is the chief advantage of using virtual packets instead of frames? The router can't transfer a copy of a frame from one kind of network to another since the frame formats

First-order inference rules, First-Order Inference Rules: Here now we ...

First-Order Inference Rules: Here now we have a clear definition of a first-order model is that we can define soundness for first-order inference rules in the same way such we

3 variable k-maps, 3-variable K-maps have 8 squares which arenormally arran...

3-variable K-maps have 8 squares which arenormally arranged in 4 columns and 2 rows.Columns are labeled with 2 variables. The columns are arranged so that either A or B cha

Program that will blink as led, Take the last two digits of your UTCID. Thi...

Take the last two digits of your UTCID. This is your duty cycle in percent. If your duty cycle is less than 10%, add 30 to your number. Create an assembly program that runs on t

Purpose of storage - computer architecture, Purpose of storage: Several...

Purpose of storage: Several different forms of storage, based on different natural phenomena, have been invented. So far, no practical universal storage medium persists, and a

Illustrates several names of popular internet browsers, Illustrates several...

Illustrates several names of popular internet browsers? Popular Internet Browsers are: Internet Explorer, Netscape Navigator and Mosaic, Google chrome and Mozilla and Opera.

Information system for strategic advantage, Q. Describe short note on Infor...

Q. Describe short note on Information system for strategic advantage? Ans. Strategic role of information systems engage using information technology to develop products or serv

Define hypertext verses hypermedia briefly, Define Hypertext verses Hyperme...

Define Hypertext verses Hypermedia briefly. Hypertext is fundamentally the same as regular text- this can be stored, read, searched or edited along with a significant exception

Classification of interrupts - computer architecture, Classification of int...

Classification of interrupts: 1. a) asynchronous external components or hardware malfunction 1.b)synchronous function of program state (for example over

What are the features of the hardwired control, What are the features of th...

What are the features of the hardwired control? A controller that uses this approach can function at high speed. It has little flexibility and the complexity of the instruction

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages