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 are the advantages of using xml over html, What are the advantages of ...

What are the advantages of using XML over HTML? The root cause of the problem lies within HTML that is Hyper Text Markup Language, the defector standard for web publication. Th

Various threats posed by server in client server environment, Explain vario...

Explain various threats posed through servers into a client server environment. Server Destroyed within an Accident: Power failures, Leaking pipes and equipment failures are no

Qwerty-based keyboards, QWERTY-based keyboards In addition the standard...

QWERTY-based keyboards In addition the standard alphabet keys having QWERTY arrangement, a computer keyboard also comprises the control (alt, Del, Ctrl etc. keys) and function

Bubbling the pipeline - computer architecture, Bubbling the Pipeline: B...

Bubbling the Pipeline: Bubbling the pipeline (also known as a pipeline break or pipeline stall) is a technique for preventing, structural, data and branch hazards from taking p

Find out decimal equivalent of the hexadecimal number, What is the decimal ...

What is the decimal equivalent of the hexadecimal number 'A0' ? Ans. The decimal equivalent value is 160 of the hexadecimal number 'A0'. As   A        0      16 1     16 0    =

What is a screen group, What is a screen group? How it is useful? Scre...

What is a screen group? How it is useful? Screen group is a field in the Screen Attributes of a screen.  Here we can explain a string of up to four characters which is availa

What is pipelining, What is pipelining? It is a method of decomposing a...

What is pipelining? It is a method of decomposing a sequential process into sub-operations, with each sub-process being implemented in a special dedicated segment that operates

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

Propositional inference rules - artificial intelligence, Propositional Infe...

Propositional Inference Rules -Artificial intelligence : Equivalence rules are specifically useful because of the vice-versa aspect,that means we can discover forwards andbackw

Determine the boolean expression using k-map, Reduce the following equation...

Reduce the following equation using k-map Y = BC‾D‾ + A‾BC‾D + ABC‾D + A‾BCD + ABCD Ans. Multiplying the first term with (A+A') Y = A'BC'D' + ABC'D' + A'BC'D + ABC'D + A'BCD +

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