Prove equations by using the boolean algebraic theorems, Computer Engineering

Assignment Help:

Prove the equations using the Boolean algebraic theorems that is given below
A‾BC + AB‾C + ABC‾+ ABC = AB + BC + AC


Ans. The equation given is A‾BC + AB‾C + ABC‾+ ABC = AB + BC + AC
L.H.S = A‾BC + AB‾C + ABC‾+ ABC
= A‾BC + AB‾C + AB (C +C‾)
= A‾BC + AB‾C + AB (Q C + C‾ = 1)
= A‾BC + A (B + B‾C)
= A‾BC + A (B + C) (? B + B‾C = B + C)
= A‾BC + A B + AC
= C (A + A‾B) + AB + AC
= C (A + B) + A B + AC (? A + A‾B = A + B)
= AC + BC + AB + AC
= AB + BC + AC (? AC + AC = AC)
= R.H.S Thus Proved


Related Discussions:- Prove equations by using the boolean algebraic theorems

What is mqseries channel, Channel means logical communication link. There a...

Channel means logical communication link. There are two parts of channels a) Message channel, b) MQI channel   1) Mesage channel use for communication among QMgr to Q

What is turnaround time, What is turnaround time? Turnaround time is th...

What is turnaround time? Turnaround time is the interval from the time of submission to the time of completion of a process. It is the sum of the periods spent waiting to get i

TIME COMPLEXITY, calculate the time complexity of a=(b/c) operation in stac...

calculate the time complexity of a=(b/c) operation in stack

What are the different methods of passing data, What are the different meth...

What are the different methods of passing data? There are three different methods of passing data Calling by reference    Calling by value Calling by value and result

Concept development journal, The Concept Development journal must contain: ...

The Concept Development journal must contain: An introductory paragraph detailing what conclusions you have drawn from your research and how you intend to proceed. This should b

Design goals of computer system, Design goals: The correct form of a c...

Design goals: The correct form of a computer system depends on the constraints and aim for which it was optimized. Computer architectures frequently trade off   cost, standard

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

Reading decision trees - artificial intelligence, Reading Decision Trees ...

Reading Decision Trees There is a link between decision tree representation and logical representations, which may be exploited to form it more easy  to understand and learned

.., 1mechanism of artificial satellite

1mechanism of artificial satellite

Advantage and disadvantage of threaded binary trees, Advantage  1.     ...

Advantage  1.       By doing threading we neglect the recursive method of traversing a Tree , which makes use of stack and consumes many memory and time . 2.       The node

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