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 managed extensibility framework, What is managed extensibility fram...

What is managed extensibility framework? Managed extensibility framework (MEF) is a new library that is introduced as a part of .NET 4.0 and Silverlight 4. It helps in extendin

How will you fine-tune a class, How will you fine-tune a class? It is u...

How will you fine-tune a class? It is useful to fine-tune classes before writing code in order to examine development or to improve performance. The purpose of execution is to

Cse 320, Explain the functionality of the quadrant approach in the Spiral M...

Explain the functionality of the quadrant approach in the Spiral Model ?

Rational number expression evaluator, Develop a RPN rational number express...

Develop a RPN rational number expression evaluator (REEval). The learning objectives are: improved procedural programming skills improved confidence in designing and

Define a protocol when an error recovery develop for a link, Suppose you ha...

Suppose you have to develop an error recovery protocol for a link that is unreliable and delay sensitive, which of the following protocol would you choose? (i) Stop & wait.

Explain hardwired control organization, Q. Explain Hardwired control organi...

Q. Explain Hardwired control organization? In the hardwired organization control unit is designed as a combinational circuit. The control unit is applied by gates, flip-flops,

Colour technologies used in monitors and printer, Q. Which Colour technolog...

Q. Which Colour technologies used in Monitors and Printer? Monitor screens and Printers use different colour technologies. The monitor uses RGB and the Printer CMYK. So, how d

Determine the return loss and round trip delay for echo, In a national tran...

In a national transmission system, the characteristic impedances of the 4-wire circuit and the 2-wire circuit are 1200 ? and 1000 ? respectively. The average phase velocity of the

Illustrate process of swapping system, What does the swapping system do if ...

What does the swapping system do if it identifies the illegal page for swapping? If the disk block descriptor does not have any record of the faulted page, then this causes the

Mechanisms for pick and place industrial robots - robotics, Each group is r...

Each group is required to complete a group assignment on the analysis, modelling and classification of one of the following classes of mechanisms encountered in robotics and indust

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages