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 term - strong typing and weak typing, Explain the term - Strong...

Explain the term - Strong Typing and  Weak Typing Strong Typing : When any operation upon an object can be checked during compile time, when type is confirmed forcefully.

Define about exe programs, Q. Define about EXE Programs? An EXE program...

Q. Define about EXE Programs? An EXE program is stored on disk with extension .exe. EXE programs are longer than COM programs as every EXE program is related with an EXE header

Enumerate the process of dynamic modelling:, Define the Process of dynamic ...

Define the Process of dynamic modelling: Analyse applicability of actions Recognize object states Create dynamic model diagram Express every state in terms o

Transformation – the process of change, TRANSFORMATION - THE PROCESS OF CHA...

TRANSFORMATION - THE PROCESS OF CHANGE Much of contemporary art and design practice and indeed popular culture is dedicated to looking at how change affects us as individuals a

Explain network security, Explain network security. Network security me...

Explain network security. Network security means the security of networks and their services from unauthorized access, changes, destruction or disclosure. It gives for assuranc

Explain naming convention libraries, Explanation:- Common used functions...

Explanation:- Common used functions are placed in libraries. These are located in the SQABas32 subdirectory of the Robot working directory. A library is separated into three fil

Is tcp connection-oriented?, Q. Is tcp Connection-oriented? TCP is conn...

Q. Is tcp Connection-oriented? TCP is connection-oriented. This means a connection is established between source and destination machines before any data is sent it implies tha

Determine the minimum bandwidth of the system, Data is to be transmitted us...

Data is to be transmitted using a modem at 9600 bps. Determine the minimum bandwidth of the system with the following modulation methods (a) FSK (b) ASK. Use the excess bandwidth f

Classification according to pipeline configuration, Classification accordin...

Classification according to pipeline configuration: According to the configuration of a pipeline, the following parts are recognized under this classification: Unifunct

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