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

Types of buses, different types of buses with diagram

different types of buses with diagram

What is cursor, The illustration of the mouse on-screen. Depending on your ...

The illustration of the mouse on-screen. Depending on your settings, the cursor can be many dissimilar things.

Digital forensics, a) What do you meant by digital forensics? b) What ...

a) What do you meant by digital forensics? b) What is the job of Computer Forensic Analyst c) From the point of view of : i. An employer ii. An employee Give thre

Multithreaded architecture, Q. Multithreaded Architecture? It is clear ...

Q. Multithreaded Architecture? It is clear at the moment if we provide a lot of contexts to multiple threads then processors with numerous contexts are known as multithreaded s

Define secondary memory, Define secondary memory. This memory holds tho...

Define secondary memory. This memory holds those pages that are not present in main memory. The secondary memory is usually a high speed disk. It is known as the swap evice, an

State about the harvard mark I and the bug, Harvard mark i and the bug ...

Harvard mark i and the bug The next important effort towards devising an electromechanical computer was done at the harvard University, jointly sponsored by the Department of U

Explain j2ee, With respect to security, which one is the better choice? ...

With respect to security, which one is the better choice? .Net or J2EE? Explain? As per majority programmers .NET is the best one which have single vendor compare to, the

.bus, clasification of bus

clasification of bus

Describe clusters in cellular systems, Question: a) With the help of a...

Question: a) With the help of a diagram, describe clusters in cellular systems. b) Describe the role of the following components in the GSM architecture Radio Sub-Sy

Binary search, Binary Search Now that the basic framework is working, ...

Binary Search Now that the basic framework is working, it is time to begin implementing a few alternative search functions. Each of these search algorithms have strengths and

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