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

How to insert script in dreamweaver, Q. How to insert script in dreamweaver...

Q. How to insert script in dreamweaver? Step 1: Click on Insert Step 2: Click on Script Step 3: Choose the type of Script Step 4: Write the code in "Content" Step 5: T

Name at least six file extensions of microsoft access, Some of the file ext...

Some of the file extensions present in MS Access are ? Access blank project template .adn ? Access database .accdb ? Access Workgroup .mdw ? Access project .adp ? A

Find out the decimal equivalent of binary number, The decimal equivalent of...

The decimal equivalent of Binary number 10101 is ? Ans. 1x2 4 + 0x2 3 +1x2 2 +0x2 1 + 1x2 0 = 16 + 0 + 4 + 0 + 1 = 21.

Higher order predicate logic, Higher Order Predicate Logic : In the v...

Higher Order Predicate Logic : In the very first order predicate logic, we are only allowed to quantify over objects. If we are considered to allow ourselves to quantify over

Student, Suppose we have an array-based list A[0..N - 1] and we want to del...

Suppose we have an array-based list A[0..N - 1] and we want to delete all duplicates. LastPosition is initially N - 1, but gets smaller as elements are deleted. Consider the pseudo

In java system.out is an object of which type, In Java System.out is an obj...

In Java System.out is an object of type? In Java System.out is an object of form Print Stream.

Basic software, Basic Software: The basic software is also referred to...

Basic Software: The basic software is also referred to as utilities. Basic software packages are available for performing operations such as data entry and validation, sorting

What is processor time of a program, What is processor time of a program? ...

What is processor time of a program? The periods during which the processor is active is known as processor time of a program it depends on the hardware included in the executi

Explain extranet, Extranet : Extranet is Extension of an Intranet that ...

Extranet : Extranet is Extension of an Intranet that makes the latter accessible to outside companies or individuals with or without an intranet. It is also described as a coll

Scan conversion.., what is picket fence problem?

what is picket fence problem?

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages