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

Explain the technique used in asymmetric key cryptography, Explain the tech...

Explain the technique used in the asymmetric Key Cryptography. Asymmetric or public-key cryptography be different from conventional cryptography in which key material is bound

Observed speedup and parallel overhead, Observed Speedup Observed speed...

Observed Speedup Observed speedup of a system which has been parallelized, is defined as:                             Granularity is one of the easiest and most extensi

Vector-vector instructions-vector processing, Vector-Vector Instructions ...

Vector-Vector Instructions In this type, vector operands are fetched by the vector register and saved in another vector register. These instructions are indicated with the foll

Describe set-associative mapping, Q. Describe Set-Associative Mapping? ...

Q. Describe Set-Associative Mapping? A third type of cache organization known as set-associative mapping is an improvement on direct mapping organization in that every word of

Pipelining - computer architecture, Pipelining - computer architecture: ...

Pipelining - computer architecture: The Pipeline Defined According to John Hayes "A pipeline processor consists of a sequence of processing circuits, called stages or

Explain about candidate check, The process which is underlined throughout t...

The process which is underlined throughout the check of base data is called as candidate check. When performing candidate check performance varies either towards the positive side

Average waiting time, Customer arrivals at a gas station can be characteriz...

Customer arrivals at a gas station can be characterized by exponential distribution with mean of 10 minutes. The amount of time they take to pump gas can be characterized by an ex

Differences between cisc and risc architectures, Question: a) What is ...

Question: a) What is the main difference between the Princeton and Harvard microprocessor architectures? b) State five main differences between CISC and RISC architectures?

Explain the term granularity, Granularity In 'Parallel computing', Gran...

Granularity In 'Parallel computing', Granularity can be defined as a qualitative assess of the ratio of computation to communication. 1) Coarse Granularity - relatively hug

Overfitted the data, Overfitted the data: Moreover notice that as time...

Overfitted the data: Moreover notice that as time permitting it is worth giving the training algorithm the benefit of the doubt as more as possible. However that is, the error

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