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 byte addressable memory, What is byte addressable memory? The a...

What is byte addressable memory? The assignment of successive addresses to successive byte locations in the memory is known as byte addressable memory.

What is reification and behaviour, What is reification and behaviour? R...

What is reification and behaviour? Reification is the promotion of something that is not an object into an object. Behavior usually requires this description. It isn't usually

What is public key cryptography, What is Public Key Cryptography? Pub...

What is Public Key Cryptography? Public-key cryptography is a type of modern cryptography that allows users to communicate safely without any previously agreeing on a shared

Data structure, sequential files

sequential files

Assignment, what are the different techniques of biasing a transistor?

what are the different techniques of biasing a transistor?

What are the disadvantages of a vpn implementation, What are the Disadvanta...

What are the Disadvantages of a VPN implementation The greatest disadvantage of a VPN implementation is its non-flexibility to accept unknown locations. VPN works extremely wel

Correct cluster, For each of the three datasets (data1.txt, data2.txt, and ...

For each of the three datasets (data1.txt, data2.txt, and data3.txt in bnhw2q2.zip), cluster the data using k-means in Matlab, with k=2, 3, 4 and 5 using the provided Matlab script

What is the function of an ip packet screening router, Function of an IP Pa...

Function of an IP Packet Screening Router: A screening router is the most basic type of firewall and uses only the packet filtering capability to control and monitor network tr

State about the computer memories, Computer Memories Computer memories...

Computer Memories Computer memories are either external or internal. Internal memories are either RAM (random access memory) or ROM (read only memory). External memories can t

What are the principles of transport layer, Q. What are the principles of t...

Q. What are the principles of transport layer? Transport layer: This layer is the first end-to-end layer. Header of transport layer includes information which helps send the

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages