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

A luminous jewel game, a luminous jewel game c programming start with t and...

a luminous jewel game c programming start with t and end with t the output will yes or no

Inspirations of artificial intelligence, Inspirations of artificial intelli...

Inspirations of artificial intelligence: Artificial Intelligence research can be easily understood by following example in terms of how the following question has been answere

Define refresh circuits, Define Refresh Circuits? It is a circuit which...

Define Refresh Circuits? It is a circuit which make sure that the contents of a DRAM are maintained when every row of cells are accessed periodically.

What is critical section problem, What is critical section problem?  Co...

What is critical section problem?  Consider a system having of 'n' processes. Each process has segment of code known as a critical section, in which the process may be changing

What are the types of convergences, What are the types of convergences? ...

What are the types of convergences? Three different types of convergences are: a. The convergence of wireless and e-commerce technology b. The Convergence of E-Commerce a

What a header represents in CGI document, A Header in CGI document can repr...

A Header in CGI document can represent? A header into CGI document can show format of the document and the location if document used to various URL.

Shm, composition of two shm in right angles to each other to havingg time p...

composition of two shm in right angles to each other to havingg time period in the ratio 1:2

What is inode, What is 'inode'? All UNIX files have its description kep...

What is 'inode'? All UNIX files have its description kept in a structure called 'inode'. The inode have info about the file-size, its location, time of last access, time of las

Explain the microprocessor development system, Microprocessor development s...

Microprocessor development system Computer systems have undergone many changes recently. Machines that once filled large areas have been reduced to small desktop computer syste

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