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

Register-to-register architecture, Register-to-Register Architecture : In t...

Register-to-Register Architecture : In this organization, results and operands are accessed not directly from the main memory by the scalar or vector registers. The vectors which a

Describe the forms tag, Now let's get a grip on how to add interactivity to...

Now let's get a grip on how to add interactivity to your web documents by way of the tag. With this tag you can add to your web pages a guestbook, surveys, order forms, ge

Determine the process of action-object matrix, Determine the Process of act...

Determine the Process of action-object matrix Check for multiple models  Recognize objects Design user object model diagram Define user object actions De

Where do you set automatic correlation options, Automatic correlation from ...

Automatic correlation from web point of sight can be set in recording options and correlation tab. Here we can enable correlation for the whole script and choose either issue onlin

What is incidence matrix, Incidence Matrix: - This is the incidence matrix ...

Incidence Matrix: - This is the incidence matrix for an undirected group. For directed graphs, the vertex from where an edge is originating will have +1 and the vertex where the ed

What do you mean by data warehousing, What do you mean by data warehousing?...

What do you mean by data warehousing? Data warehouse implies as: a) It is subject oriented b) It is integrated and c) It is time variant d) It is non-volatile colle

What are the main advantages of sound, Problem: (a) What are the two m...

Problem: (a) What are the two main advantages of sound? (b) UTMDigitlab ltd, specialized in digitizing sound, converts an audio stream of the latest album of Britney Spea

How can system improved when free lines are available, How can system impro...

How can system improved if one arrive at the probability of availability of free lines during the busy hour? Improvement can be made when the system is act as a loss system in

Explain the structure of plasma panel display, a. Explain the meaning of fr...

a. Explain the meaning of frame buffer? Draw a block diagram showing the method for scanning out an image from frame buffer to display surface. b. Explain the structure of plasm

Define peripheral, Define peripheral. Devices that are under the direct...

Define peripheral. Devices that are under the direct control of computer are said to be linked online. These devices are intended to read information into or out of the memory

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