Determine Boolean identities using Boolean algebra, Computer Engineering

Assignment Help:

Prove the following identities
 
a. A
‾B‾C‾ + A‾BC‾ + AB‾C‾ + ABC‾ = C
b. AB + ABC + A
‾ B + AB‾C = B + AC

Ans.

a. LHS = A'B'C' + A'BC' + AB'C' + ABC'
= A'C' (B' + B) + AC' (B' + B)
= A'C' + AC'   [as B'+B = 1]
= C' (A' + A)
= C'                   [since A'+A =1]
= RHS.
Thus Proved

b. LHS = AB + ABC + A'B + AB'C

= B + AC
= B (A + A') +  AC (B + B')
= B + AC   [as B + B' = A + A' = 1]
= B + AC
= RHS.
Thus Proved


Related Discussions:- Determine Boolean identities using Boolean algebra

DoDAF OV-2 for a green datacenter, How do I create a DoDAF OV-2 for the con...

How do I create a DoDAF OV-2 for the construction of a green data center?

What is chattering as applied to mechanical switches, What is chattering as...

What is chattering as applied to mechanical switches used in digital systems and why do they occur?  What is its effect on the functioning of a sequential circuit? Ans Chat

Explain semaphore, What is a semaphore? Semaphore: It is a synchroniz...

What is a semaphore? Semaphore: It is a synchronization tool which gives a general-purpose solution to controlling access to critical sections.

What is a linked list, What is a linked list? Linked list: A linked l...

What is a linked list? Linked list: A linked list is a self referential structure which having a member field that point to the similar structure type. In simple term, a link

State in brief about third generation electronic computers, Third Generatio...

Third Generation (1963-1972) The third generation introduced huge gains in computational power. Innovations in this time include use of integrated circuits or ICs (semiconducto

Provision for data buffering, Data buffering is quite helpful for purpose o...

Data buffering is quite helpful for purpose of smoothing out gaps in speed of processor and I/O devices. Data buffers are registers that hold I/O information temporarily. I/O is pe

What do you understand by www, What do you understand by WWW? WWW (Wo...

What do you understand by WWW? WWW (World Wide Web): It is an architectural framework for accessing linked documents outspread over thousands of machines the whole world.

Example of time division multiplexing, Two computers using TDM take up turn...

Two computers using TDM take up turns to send 100-bytes packet over a shared channel that operates at 64000 bits per second. The hardware takes 100 microseconds after one computer

Illustrate arithmetic shifts with example, Q. Illustrate Arithmetic shifts ...

Q. Illustrate Arithmetic shifts with example? Arithmetic shifts ARITHMETIC SHIFT LEFT and ARITHMETIC SHIFT RIGHT are same as LOGICAL SHIFT LEFT and LOGICAL SHIFT RIGHTexcept th

Print a prompt, When your shell is waiting for input from the user, it shou...

When your shell is waiting for input from the user, it should first print a prompt. The prompt should consist of the current working directory followed by the _>_ character. Here 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