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

Explain about the term intranet in brief, Explain about the term Intranet i...

Explain about the term Intranet in brief. Intranet: An Intranet is a form of information system which facilitates communication into the organizations in between widely

In a for loop, In a for loop, if the condition is missing, then, It is s...

In a for loop, if the condition is missing, then, It is supposed to be present and taken to be true.

Advantages and disadvantages of shared memory programming, Q. Show Advantag...

Q. Show Advantages and Disadvantages of Shared Memory Programming? Advantages of Shared Memory Programming Data sharing between processes is both rapid and uniform bec

Describe the working of operating system, Write the importance of operating...

Write the importance of operating system. Describe the working methodology of online and real-time operating system with the help of two examples of each.

What you mean by organizational effectiveness, Q. What you mean by organiza...

Q. What you mean by organizational effectiveness? Organizational effectiveness is measured in terms of productivity, structural flexibility, Employee involvement and Job satisf

Advantages & disadvantages of wired-and connection TTL gates, What are adva...

What are advantages and disadvantages of TTL gates design with Wired-AND connection ? Ans. Advantages and disadvantages In this IC added logic is performed with

Digital electronics, Explain the principle of duality with examples.

Explain the principle of duality with examples.

Explain an intermediate language, Assemblies are made up of IL code modules...

Assemblies are made up of IL code modules and the metadata that explains them. Although programs may be compiled by an IDE or the command line, in fact, they are easily translated

What is strobe, What is Strobe. Asynchronous data are transfer among tw...

What is Strobe. Asynchronous data are transfer among two independent unit needs that control signals to be transmitted among the communicating units to indicate the time at whi

C, write a code to decode the string"i need 1000 bucks"

write a code to decode the string"i need 1000 bucks"

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