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

COMPUTER SYSTEM, Classify computer systems according to capacity. How they ...

Classify computer systems according to capacity. How they are different from computers according to the classification of technology. Provide comparative study also.

Interface constructors, Describe a interface 'Human' with methods as walk' ...

Describe a interface 'Human' with methods as walk' and 'speak'. Describe a class 'User' implementing 'Human'. Describe a work() method in User class.Add a class 'Person' also execu

Discussion., Functionality first and then Security?

Functionality first and then Security?

Assembler directives, What are assembler directives? Ans: These are th...

What are assembler directives? Ans: These are the instructions that direct the program to be executed. They have no binary corresponding so they are called pseudo-opcodes. The

Ground substitution, Ground substitution: Here the act of performing a...

Ground substitution: Here the act of performing an instantiation is a function like there is only one possible outcome means we can write it as a function. And the notation Su

Determine about the authoring software, Determine about the Authoring Softw...

Determine about the Authoring Software Also termed as author ware; this is a program which helps in the writing of hypertext or multimedia applications. Authoring tools general

What are the advantages of using uml, Benefits of using UML breaks the comp...

Benefits of using UML breaks the complex system into discrete pieces that can be understood simply. Handover the system to new team becomes simpler. Complex system can be un

Example of unification, Example of Unification: Let now here, assume i...

Example of Unification: Let now here, assume instead that we had these two sentences as: knows(john,X) → hates(john, X) knows(jack, mary) Thus here the predicate n

What are the page headers for secondary lists, What are the page headers fo...

What are the page headers for secondary lists? On secondary lists, the system does not show a standard page header and it does not trigger the event. TOP-OF-PAGE. To make page

Mips simulator: testing, Your code will be tested using a command script. T...

Your code will be tested using a command script. The script is available on Blackboard in the archive MIPSimTest.zip. It contains a ReadMe file that explains how to run the script

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages