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 ai backgammon, This part looks at Berliner's program, two backprop ...

This part looks at Berliner's program, two backprop versions by Tesauro and a temporal difference process by Tesauro. This latter program is VERY good quality and has found strateg

Explain the race around condition, Explain the Race Around Condition? C...

Explain the Race Around Condition? Consider the inputs of the JK flipflop j=1 and k=1 and Q=0 when a clock pulse of width tp is applied the output will change from 0 to 1 after

What is the use of hypertext links in internet access, What is the use of h...

What is the use of hypertext links in Internet access? Use of Hypertext links in Internet access: From the user’s view point, the Web comprised a vast, worldwide collecti

How many times browser on each computer has contacted server, Write a CGI p...

Write a CGI program that displays a count of how many times a browser on each computer has contacted the server. echo Content -type: text /html echo N=$QUERY_STRING Ec

The max number of calling modes stacked at one time is, The max number of ...

The max number of calling modes stacked at one time is? NINE

Explain about fundamental nature of a computer, Q. Explain about fundamenta...

Q. Explain about fundamental nature of a Computer? The fundamental nature of a Computer is as an information transformer. So a computer should be able to take input and process

ATM is an example of which topology?, ATM is an example of? ATM is illu...

ATM is an example of? ATM is illustration of Star topology.

Instruction level-levels of parallel processing, Instruction Level It r...

Instruction Level It refers to the condition where different instructions of a program are implemented by different processing elements. Most processors have numerous execution

What are the two main roles of operating system, As a resource manager ...

As a resource manager As a virtual machine

Differentiate between synchronous and asynchronous i/o, Differentiate betwe...

Differentiate between synchronous and asynchronous input/output with the help of an example. The input-output operation is asynchronous input/output operation since after the s

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages