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

Compiler software difficulty, IA-64 instead depends on the compiler for thi...

IA-64 instead depends on the compiler for this task. Even before the program is fed into the CPU, the compiler studies the code and makes the similar sorts of decisions that would

Explain the recording mode for web vuser script, We use VuGen to make a Vus...

We use VuGen to make a Vuser script by recording a user performing typical business processes on a customer application. VuGen makes the script by recording the activity among the

What do you mean by communication traffic, Q. What do you mean by Communica...

Q. What do you mean by Communication Traffic? Communication Traffic offers a pictorial view of communication traffic in interconnection network with respect to time in progress

Where does the cpu enhanced mode originate , Intel's 8086 was the first 32-...

Intel's 8086 was the first 32-bit processor, and as the company had to backward-support the 8086. All the modern Intel-based processors will run in the Enhanced mode, capable of sw

replacing option of a copy statement, What is the point of the REPLACING o...

What is the point of the REPLACING option of a copy statement? Ans) REPLACING permits for the similar copy to be used more than once in the similar code by changing the replac

Illustrate character coded data, Q. Illustrate Character Coded Data? Th...

Q. Illustrate Character Coded Data? The input output happens in the form of ASCII data. These ASCII characters are entered as a string of data. For illustration to get two numb

Write a short note on pointer operators in c, Write a short note on pointer...

Write a short note on pointer operators in c Pointers (that is, pointer values) are generated with the ''address-of'' operator &, which we can also think of as the ''pointer-to

Explain the uses of thumbwheels, Explain the uses of thumbwheels Two t...

Explain the uses of thumbwheels Two thumbwheels are usually required to control the screen cursor in its horizontal and vertical position respectively. As the name implies,

Main benefits of cd-rom, The main benefits of CD-ROMs are: These are...

The main benefits of CD-ROMs are: These are removable disks, thus they are suitable for archival storage mass replication is cheap and fast large storage capacity

Modus ponens rule, Modus ponens rule: In fact the general format for t...

Modus ponens rule: In fact the general format for the modus ponens rule is as follows: like if we have a true sentence that states the proposition A implies proposition B and

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages