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

Database system, What are the three data anomalise that are likely to occur...

What are the three data anomalise that are likely to occur as a result of data redundancy?

What is object orientation, What is object orientation? Object orientat...

What is object orientation? Object orientation means that we classify software as a collection of discrete objects that incorporate with together DS and behaviour. Four aspe

Explain usenet and newsgroups, Q. Explain Usenet and Newsgroups? In Int...

Q. Explain Usenet and Newsgroups? In Internet there exists another way to meet people and share information. One such way is through Usenet newsgroups. These are special groups

Determine a program that is in execution, Determine a program that is in ex...

Determine a program that is in execution is known as Program in execution is known as Process

Distinguish between http and true streaming, Question: 1. Distinguish ...

Question: 1. Distinguish between HTTP and True streaming, stating the advantages and disadvantages of both type of media streaming. 2. Name two online services which provi

Effect of is on humans - information system, Effect of IS on Humans - Infor...

Effect of IS on Humans - Information System We have concentrated in this chapter on the ways that IS has evolved making it more useful and more user-friendly. This proliferat

Define alphabet and string, Define Alphabet and String? A finite set of...

Define Alphabet and String? A finite set of symbols is termed as alphabet. An alphabet is frequently signified by sigma, yet can be specified any name. B = {0, 1} here B is

Computer networking, what are the steps to implement bus topology?

what are the steps to implement bus topology?

Determine reduced boolean equation and the karnaugh map, Determine reduced ...

Determine reduced Boolean equation and the Karnaugh Map? Illustration : Determine reduced Boolean equation and the Karnaugh Map for the truth table shown below:

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