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

What is machine.config, What is Machine.config?  Machine configuration ...

What is Machine.config?  Machine configuration file: The machine. config file contains settings that apply to the whole computer.  The machine.config, which can be found in the

Explain throughput performance and issues in pipelining, Throughput Thr...

Throughput Throughput of a pipeline may be defined as number of results which have been achieved per unit time. It can be referred as: T = n / [m + (n-1)]. c = E / c Th

Stack and queue, Describe queue? Ans:  It is a type of data structure ...

Describe queue? Ans:  It is a type of data structure in which the data are stored in and retrieved on a First in first out (FIFO) basis. It grows in the direction of increasin

The need of parallel computation, The Need Of Parallel Computation With...

The Need Of Parallel Computation With the advancement of computer science (CS), computational speed of the processors has also improved many a time. Moreover, there is certain

How to calculate colour depth, Q. How to calculate Colour Depth? Colour...

Q. How to calculate Colour Depth? Colour Depth (or number of Colour Planes) is number of bits assigned to every pixel to code colour information in it. These are also known as

Communications between r/3 and external applications, What is the means of ...

What is the means of communications between R/3 and external applications? The means of communication among R/2,R/3 and external applications is by the CPI-C handler or SAP Gat

Estate agency application, Build U Like are a building company specialising...

Build U Like are a building company specialising in hard landscaping. They lay patios, build walls, lay drives etc. for their customers. A customer will remain in the system even t

Unity - variety - principles of composition, Unity / variety Unity is ...

Unity / variety Unity is created by the use of elements that look like they belong together, in other words the piece will have a feeling of internal  consistency. The most

What is persistence, What is Persistence When you make an object, it e...

What is Persistence When you make an object, it exists for so long as you need it, but under no circumstances object exist when program terminates. While this makes sense at s

Determine about the web based tools, Determine about the Web Based Tools ...

Determine about the Web Based Tools HTML, XML, CGI and other open standards As is well known, the Web as well as Intranets speak and understand only one language i.e., th

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