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

Uniform memory access model (uma), Uniform Memory Access Model (UMA) In...

Uniform Memory Access Model (UMA) In this model, the main memory is uniformly shared by all processors in multiprocessor systems and each processor has equal access time to sha

What is the accessibility testing, Accessibility testing for web sites is a...

Accessibility testing for web sites is a service that can give much more than the standard point-by-point testing methods of most automated services.

What is mqseries cluster, Cluster is said to be collection of queue manager...

Cluster is said to be collection of queue manager's logically linked together to balance the load on the remote machine (i.e if it is remote queue managers which processes your mes

Find minimal expression for sop, Consider the following expression. Assume ...

Consider the following expression. Assume that complement inputs are available. F(A,B,C,D) = ∑m (0,1,3,5,9,12,14) + ∑d (4,10,15) 1. Find minimal expression for SOP. Draw gate ne

Microprocessors and interfaces, #question.write cycle timing diagram for ma...

#question.write cycle timing diagram for maximum mode of 8086 microprocessor.

Pipeline processing-parallel computer architecture , Pipeline Processing ...

Pipeline Processing Pipelining is a process to realize, overlapped parallelism in the proposed answer of a problem, on a digital computer in an economical way. To understand th

Translator for low level programming language, Translator for low level pro...

Translator for low level programming language were called as    Assembler

Determine the two input of NOR gate if output will be low, The NOR gate out...

The NOR gate output will be low if the two inputs are ? Ans. Output is low if any of the input is high means input may be 01,10 or 11.

What is a demultiplexer, What is a demultiplexer? Ans: Demultiplex...

What is a demultiplexer? Ans: Demultiplexer: This is a logic circuit which accepts one data input and distributes this over some outputs. This has one data input, m selec

What is xml, XML is the Extensible Markup Language. It betters the function...

XML is the Extensible Markup Language. It betters the functionality of the Web by letting you recognize your information in a more accurate, flexible, and adaptable way. It is e

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