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 pipelining, What is pipelining? The overlapping of implementati...

What is pipelining? The overlapping of implementation of successive instructions is known as pipelining.

State about CSMA/CA, State about CSMA/CA It belongs to a class of proto...

State about CSMA/CA It belongs to a class of protocols known as multiple access methods. CSMA/CA  stands  for:  Carrier  Sense  Multiple  Access  with  Collision Avoidance.  In

Rectifier output with fitters, Rectifier output with fitters: When hal...

Rectifier output with fitters: When half-wave and full-wave rectification suffice to deliver a type of DC output, neither produces constant-voltage DC (direct current). To gen

What is capacitor-based keyboards, Q. What is Capacitor-Based Keyboards? ...

Q. What is Capacitor-Based Keyboards? These keyboards are based on the idea of Capacitance. A simple capacitor comprises a pair of conductive plates having opposite charges and

What are single stage and multistage networks, What are single stage and mu...

What are single stage and multistage networks? Compare the strengths and weaknesses of each. OR List the major difference in single stage, two stages and three stage Netw

Explain organisations use in electronic data interchange, Explain about the...

Explain about the organisations use in EDI. Organisations, which are use Electronic Data Interchange. Extensive users of Electronic Data Interchange (EDI) include: BHS:

Differences between batch systems versus real-time systems, Question 1: ...

Question 1: a. Give NINE general properties of an MIS b. Name and explain the THREE main Problems and Issues of EIS Question 2: a. What are information systems for?

Significance of xml in edi and electronic commerce, What is the significanc...

What is the significance of XML in EDI and electronic commerce?   XML has been defined as lightweight SGML XML shows great promise for its inherent ability to permit a " doc

What can be middle wares role within e-commerce, What can be middle wares r...

What can be middle wares role within e-commerce? By the utilize info Platform Commerce Server a shopping service can take benefit of reaching the end user onto Open TV, SMS, WA

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