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

ERP, Benefits of implementing ERP

Benefits of implementing ERP

Explain criteria for choosing type of file organization, What criteria shou...

What criteria should be adopted for choosing type of file organization. Selecting a file organization is a design decision; therefore it must be done having in mind the achieve

By using what nested macro calls are expanded, Nested Macro calls are expan...

Nested Macro calls are expanded using the? Ans. By using the LIFO (Last in First out) Nested Macro calls are expanded.

Determine the adding operations of describe function, Adding Operations of ...

Adding Operations of describe function  Whenever take a look at the operations in OOPs you find queries about attributes or associations in object model (such as student.name)

Interaction design, This unit introduces the most important ID terminology,...

This unit introduces the most important ID terminology, explains why ID is important, and gives a description of the main ID activities and the characteristics of the ID process. I

Tree strucred directory, what is the operations in atree structured directo...

what is the operations in atree structured directory.

Explain about the client/server computing, Explain about the Client/Server ...

Explain about the Client/Server Computing? Although there are different various configurations, various hardware and software platforms and even various network protocols into

Explain the term - integrity, Explain the term - Integrity In most c...

Explain the term - Integrity In most cases, corporate data should remain unchanged by third parties, so the system should be capable of ensuring that only authorised personn

Implementation using 8 to 1 multiplexer, Implement the following function u...

Implement the following function using 8 to 1 multiplexer Y(A, B, C, D) = ∑(0,1,2,5,9,11,13,15) Ans. We will obtain three variables B,C and D at selection lines and also A as i

Determine the minimum bandwidth of the system, Data is to be transmitted us...

Data is to be transmitted using a modem at 9600 bps. Determine the minimum bandwidth of the system with the following modulation methods (a) FSK (b) ASK. Use the excess bandwidth f

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