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

Example of calculate maximum access time & cost of switch, Calculate the ma...

Calculate the maximum access time that can be permitted for the data and control memories in a TSI switch with a single input and single output trunk multiplexing 2500 channels. Al

Explain the relationship b/w translated & load time address, Explain the re...

Explain the relationship amongst Translated address and Load time address. Translated address: Address assigned through the translator Load time address: Address ass

Evaluation function - canonical genetic algorithm, Evaluation function - ca...

Evaluation function - canonical genetic algorithm: However note that this termination check may be related or the same as the evaluation function - that discussed later - but

Skip to line line number, The "SKIP TO LINE line number" is dependent on wh...

The "SKIP TO LINE line number" is dependent on which statement included in the report statement of the program. The "SKIP TO LINE line number" is dependent on "LINE-COUNT" stat

What is a rendezvous point?, You insert rendezvous points into Vuser script...

You insert rendezvous points into Vuser scripts to imitate heavy user load on the server. Rendezvous points instruct Vusers to wait during test implementation for multiple Vusers t

Delete command, When the user is inputting commands into your shell, it sho...

When the user is inputting commands into your shell, it should properly handle delete and backspace. When one of these characters is detected, you will need to remove one character

Advantages of instruction set architecture, Advantages of Instruction set a...

Advantages of Instruction set architecture: Stack Advantages : it is simple Model of expression evaluation (reverse polish). Contain Short instructions. Disadvanta

What are vectored interrupts, What are vectored interrupts? To decrease...

What are vectored interrupts? To decrease the time involved in the polling process, a device requesting an interrupt may recognize itself directly to the processor. Then the pr

Recombination - canonical genetic algorithm, Recombination: Therefore...

Recombination: Therefore during the selection and mating process then the GA repeatedly lines up pairs of individuals for reproduction. Hence the next question is how to gener

Symmetric and asymmetric encryption algorithms, Compare and contrast symmet...

Compare and contrast symmetric & asymmetric encryption algorithms. Your response should contain a brief overview of the cryptographic basis for every type of algorithm, and a compa

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages