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 are priority queues, What are priority Queues? There are many queu...

What are priority Queues? There are many queues in which we can insert items or delete items from any of the position based on some property. Now, those queues based on the pro

Why is cloud computing important, Why is Cloud Computing important? The...

Why is Cloud Computing important? There are many implication of cloud technology, for both developers and end users. For developers, cloud computing gives increased amounts of

Types of bus - computer architecture, Types of Bus: Synchronous Bus ...

Types of Bus: Synchronous Bus All devices gain timing information from a common clock line. Each of these intervals constitutes a bus cycle at the time duration w

Which interface controls what is shown on the p.c., Which interface control...

Which interface controls what is shown on the p.c.? Presentation Interface  controls what is shown on the p.c

Hard disk architecture, Hard disk Architecture: A hard disk drive ...

Hard disk Architecture: A hard disk drive having the platters and motor hub removed indicating the copper colored stator coils surrounding a bearing at the cen

Way to interconnect multiple computer across short distance, A computer com...

A computer communication technology that gives a way to interconnect multiple computer across short distance is LAN

Why we need to construct state transition diagram, Why we need to construct...

Why we need to construct state transition diagram Basically you need to construct a state transition diagram for each object with important behaviour. You need not construct on

Change to palindrome, given a string S convert it to palindrome by doing ch...

given a string S convert it to palindrome by doing character replacement.convert S to palindrome with minimum character replacements

Determine the purpose of GDTR, Elucidate the purpose of GDTR. If the microp...

Elucidate the purpose of GDTR. If the microprocessor sends linear address 00200000H to paging mechanism, which paging directory entry and which page table entry is accessed? GD

Explain difference between space and time division switching, Through two b...

Through two block diagrams explain the difference between Space division and time division switching. Space and Time Switching: Space Switches: Connections can be made i

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