Prove equations by using the boolean algebraic theorems, Computer Engineering

Assignment Help:

Prove the equations using the Boolean algebraic theorems that is given below
A‾BC + AB‾C + ABC‾+ ABC = AB + BC + AC


Ans. The equation given is A‾BC + AB‾C + ABC‾+ ABC = AB + BC + AC
L.H.S = A‾BC + AB‾C + ABC‾+ ABC
= A‾BC + AB‾C + AB (C +C‾)
= A‾BC + AB‾C + AB (Q C + C‾ = 1)
= A‾BC + A (B + B‾C)
= A‾BC + A (B + C) (? B + B‾C = B + C)
= A‾BC + A B + AC
= C (A + A‾B) + AB + AC
= C (A + B) + A B + AC (? A + A‾B = A + B)
= AC + BC + AB + AC
= AB + BC + AC (? AC + AC = AC)
= R.H.S Thus Proved


Related Discussions:- Prove equations by using the boolean algebraic theorems

C program, #how to write c program for all types of beam reactions

#how to write c program for all types of beam reactions

Hypertext vs hypermedia, Hypertext vs Hypermedia     Hypertext is basic...

Hypertext vs Hypermedia     Hypertext is basically the similar as regular text - it can be stored, read, searched, or edited - with a significant exception: hypertext having co

Determine about the information centres, Determine about the Information ce...

Determine about the Information centres Airports, supermarkets and any application where information needs to be relayed to customers, gain advantage from having automatic inf

Convert the decimal numbers into hexadecimal, Q Convert the following DECIM...

Q Convert the following DECIMAL numbers into HEXADECIMAL, double check by converting the result HEXADECIMAL to DECIMAL. a)    24 b)   547.56

What are the benefits of web-based spreadsheets, What are the Benefits of W...

What are the Benefits of Web-Based Spreadsheets? The spreadsheets can be accessed from any Internet-connected computer, not just the computer originally formed the spreadsh

Explain about the non-repudiation, Explain about the non-repudiation? ...

Explain about the non-repudiation? Non Repudiation: Assurance which the sender is provided along with proof of delivery and which the recipient is given along with proof

Design odd-even transposition algorithm, Q. Design Odd-Even Transposition A...

Q. Design Odd-Even Transposition Algorithm? Algorithm: Odd-Even Transposition for I=1 to N     {            If (I%2 != 0) //i.e. Odd phase            {

Write a menu driven program to find 10''s complement, Q. Write a menu dri...

Q. Write a menu driven program to find 9's and 10's complement of a decimal number using file. Perform necessary validation with proper message that entered numbers must be de

Explain the term middleware in context of rpc, Explain the term middleware ...

Explain the term middleware in context of RPC. A variety of commercial tools have been urbanized to assist the programmer in constructing client- server software. These tools a

Performance of pipelines with stalls, Performance of Pipelines with Stalls:...

Performance of Pipelines with Stalls: A stall is reason of the pipeline performance to degrade the ideal performance.                                             Average in

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