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

Difference between property get, Set Value is ready to ActiveX Object from ...

Set Value is ready to ActiveX Object from the form. Let Value is retried to ActiveX Object from the form. Get- Assigns the value of an expression to a variable or property.

Differentiate between transport & session layer of osi model, Differentiate...

Differentiate between Transport and Session layers of OSI model. OSI Model Transport Layer The transport layer utilizes the services provided through the network layer, as

Operating system., what is the minimum number of page faults for an optimal...

what is the minimum number of page faults for an optimal page replacement strategy?

What is pattern, What is pattern? A pattern is a proven solution to a g...

What is pattern? A pattern is a proven solution to a general problem. Lots of patterns are used. There are patterns for analysis, architecture, design and execution. Patterns c

The different storage classes in c, What are the different storage classes ...

What are the different storage classes in C? Storage classes in C There are four storage classes in C: a. Automatic storage class: b. Register storage class: c

What is dma operations, What is DMA operations? State its advantages. ...

What is DMA operations? State its advantages. In order to transfer bulk amount of data among memory and I/O device without involvement of CPU, the Direct Memory Access metho

Microprocessor, can i get the comparison of microprocessors architecture?

can i get the comparison of microprocessors architecture?

Assembly program, where do i get some sample assembly projects (with coding...

where do i get some sample assembly projects (with coding included)?

Reprography of information distribution, Reprography In order to dissem...

Reprography In order to disseminate information widely some method of reprography is invariably used. Reprography is the science and practice of copying documents by photograph

Super ASCII string checker, In the Byteland country a string "s" is said to...

In the Byteland country a string "s" is said to super ascii string if and only if count of each charecter in the string is equal to its ascci value in the byteland country ascii co

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages