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

Input-output-processor interconnection network (iopin), Input-Output-Proces...

Input-Output-Processor Interconnection Network (IOPIN): This interconnection network is designed for communication between I/O Channels and processors. Every single one proces

Artificial intelligence software, Artificial Intelligence Software A...

Artificial Intelligence Software Artificial Intelligence (AI) software employs non numerical algorithms to resolve complex problems that are not amenable to computation or s

Discuss about charles babbage in brief, Discuss about Charles Babbagein bri...

Discuss about Charles Babbagein brief Mechanism  for  advancing  or  reversing  of  control  card  were  allowed  therefore enabling execution of any desired instruction. In ot

# real life business subsystem, Is production, marketing, personal, materia...

Is production, marketing, personal, material, finance are the real life business subsystems? if yes, then how?

What do you mean by rad, a. What are the activities included during the pro...

a. What are the activities included during the process of developing a formal specification of a sub-system interface? b. Explain the Pair Programming? What are the benefits of

Explain virtual packets, Explain Virtual Packets. The router can't tran...

Explain Virtual Packets. The router can't transfer a copy of a frame from one kind of network to other since the frame formats be different. More significantly, the router cann

Convert the following into pos form, Q. Convert the following into POS form...

Q. Convert the following into POS form 1.  (AB + C + DC)(AB + BC + D) 2.  WYZ + XYZ + W'X'Y + W'XYZ 3.  XY + XZ + X'YZ' 4.   (A+B'+C) (AB+AC') 5.   F(A,B,C,D)=M(0,3,

Analysis of amdahls law, Q. Analysis of Amdahls law? The conclusions of...

Q. Analysis of Amdahls law? The conclusions of analysis of Amdahl's law are: 1) To optimize performance of parallel computers modified compilers should be developed that sho

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