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

Algorithms, Data array A has data series from 1,000,000 to 1 with step size...

Data array A has data series from 1,000,000 to 1 with step size 1, which is in perfect decreasing order. Data array B has data series from 1 to 1,000,000, which is in random order.

Four types of consumer oriented applications of e-commerce, What are the fo...

What are the four types of consumer oriented applications of E-commerce? Discuss them briefly. Four types of Consumer Oriented applications in E-Commerce are as follows: 1

How to create dlq rules table, DLQ - Dead Letter Queue If an applicati...

DLQ - Dead Letter Queue If an application tries to put a message to one more application and if it is not delivered then it goes to the DLQ. So DLQ is not anything but all und

Health care professional, Overall, Mr. X is an intelligent and high-functio...

Overall, Mr. X is an intelligent and high-functioning man with good psychological, social, and occupational functioning. The test battery did not reveal any difficulties that warra

Software project planning, Software Project Planning In the previous da...

Software Project Planning In the previous days of computing software costs comprised a small % of overall computer based system cost. In order of magnitude error software cost

What are advantages and disadvantages of using eeprom, What are advantages ...

What are advantages and disadvantages of using EEPROM? The benefits are that EEPROM do not have to be removed for erasure. Also it is possible to delete the cell contents selec

What do you mean by best fit, What do you mean by best fit?  Best fit a...

What do you mean by best fit?  Best fit allocates the smallest hole that is big enough. The whole list has to be searched, unless it is sorted by size. This method makes the sm

Explain cpu based exchange, Explain CPU based exchange. CPU Based Exch...

Explain CPU based exchange. CPU Based Exchange: All the control equipment is replaced with a single processor that must be quite powerful, in centralized control. This should

Define the meaning of registers and counting, Define the meaning of Registe...

Define the meaning of Registers and Counting? Registers: Group of flip-flops use for data storage. Counting: Another extremely important application of flip-flops is in dig

Differentiate aggregation and containment, Aggregation is the relationship ...

Aggregation is the relationship among the whole and a part. We can add/subtract some properties in the part (slave) side. It won't affect the entire part. Best example is Car,

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd