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

Cemistry, Discuss scales and sludge

Discuss scales and sludge

What is the difference between swapping and paging, What is the difference ...

What is the difference between Swapping and Paging? Swapping: Entire process is moved from the swap device to the major memory for implementation. Process size must be less t

External report cannot be called, When calling an external report the param...

When calling an external report the parameters or select-options specified in the external report cannot be called.

The functions islower() and tolower(), Distinguish among the functions islo...

Distinguish among the functions islower() and tolower(). islower( ) and tolower( ): islower(c) is a character testing function described in ctype.h header file. This

Determining the error models that affect program execution, In critical com...

In critical computer applications the correctness of a delivered output and the continuity of the required service beside the speed of the used CPU are the most important measures

Design goals of computer system, Design goals: The correct form of a c...

Design goals: The correct form of a computer system depends on the constraints and aim for which it was optimized. Computer architectures frequently trade off cost, standard

How many flip-flops are required to construct mod 30 counter, How many flip...

How many flip-flops are required to construct mod 30 counter ? Ans. Mod - 30 counter +/- requires 5 Flip-Flop as 30 5 . Mod - N counter counts overall ' N ' number of state

What is a verification point?, A verification point is a point in a script ...

A verification point is a point in a script that you make to confirm the state of an object across builds of the application-under-test.

Legacy systems and current infrastructure, Legacy systems and current infra...

Legacy systems and current infrastructure - Information System This problem is most easily understood using the everyday example of the rail ways where the rail network infras

Propositional versions of resolution, Propositional versions of resolution:...

Propositional versions of resolution: Just because of so far we've only looked at propositional versions of resolution. However in first-order logic we require to also deal wi

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages