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

Authentication verses firewall, How does an authentication system be differ...

How does an authentication system be different from a firewall into functioning? Authentication verses firewall User Authentication and Authorization A significan

Explain the working of dynamic ram - computer memory, Explain the working o...

Explain the working of Dynamic RAM? A plain piece of hardware called a DRAM controller can be used to make DRAM behave more like SRAM and the job of the DRAM controller is to p

Create perl scripts, Create Perl scripts as required below: a) Create a ...

Create Perl scripts as required below: a) Create a script named select_by_attribute.pl that accepts the name of a LibML documentand the name of a particular attribute from the c

Predictive modelling power, Another useful feature of an experts system ...

Another useful feature of an experts system is its predicative modelling power. The system can act as an information processing theory or model of problem solving in th

Can we delete a domain, Can you delete a domain, which is being used by dat...

Can you delete a domain, which is being used by data elements? No.

What is soap and how does it relate to xml, The Simple Object Access Protoc...

The Simple Object Access Protocol (SOAP) uses XML to describe a protocol for the exchange of information in distributed computing environments. SOAP having of three components: an

Which device consume minimum power, Which device consume minimum power ? ...

Which device consume minimum power ? Ans. Minimum power consume by CMOS as in its one p-MOS and one n-MOS transistors are connected in complimentary mode, so one device is ON a

Internrt application, what is the significance of telecommunications deregu...

what is the significance of telecommunications deregulation for managers and organization

What is enhanced ide, Q. What is Enhanced IDE? The principle behind EID...

Q. What is Enhanced IDE? The principle behind EIDE interface is the same as in IDE interface however this drive has capacities varying from 10.2GB to 20.5GB. The rotation speed

Update -task updates, Update -task updates are Asynchronous updates.

Update -task updates are Asynchronous updates.

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