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 phase encoding, What is phase encoding or Manchestor encoding? ...

What is phase encoding or Manchestor encoding? It is the method for combining clock information with data. It is a scheme in which alters in magnetization occur for each data

And-elimination-introduction rule - artificial intelligence, And-Eliminatio...

And-Elimination-Introduction rule - Artificial intelligence: And-Elimination In English, this says that "if you know that many things are all true, then you know that any

Explain load sharing processor configuration of spc, Explain how a centrali...

Explain how a centralized SPC organization works under load sharing operation. Under load sharing operation, an incoming call is allocated randomly or in a predetermined sequen

Show the advantages of joint application development, Q. Show the advantage...

Q. Show the advantages of Joint Application Development? The following are the numerous advantages of Joint Application Development: Actively includes management and use

Define locality of reference, Define locality of reference? What are its ty...

Define locality of reference? What are its types? During the course of implementation of a program memory references by the processor for both the instruction and the data ten

Register-to-register operands in RISC, Q. Register-to-register operands in ...

Q. Register-to-register operands in RISC? Register-to-register operands: In RISC machines operation which access memories are LOAD and STORE. All other operands are kept in reg

Describe the role of software developers, Describe the role of Software dev...

Describe the role of Software developers Software developers have wide experience of tackling such issues. Students who develop software project spending days and nights strug

How will this difference b interpreted, How will this difference b interpre...

How will this difference b interpreted? When one pointer is subtracted from another pointer, the number of elements between the two pointers always includes the element pointed

4 bit comparator, how to breadboARD THE 4 BIT COMPARATOR

how to breadboARD THE 4 BIT COMPARATOR

What is cyclomatic complexity, What is cyclomatic complexity? Cyclomati...

What is cyclomatic complexity? Cyclomatic complexity is a computer science metric (measurement) developed by Thomas McCabe used to generally calculate the complexity of a progr

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages