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

Differentiate between logical address and physical address, Differentiate b...

Differentiate between logical address and physical address. A logical address is the address of the data word or instruction as used by a program (it includes the use of base

Define rules for evaluating the boolean expression, Define Rules For Evalua...

Define Rules For Evaluating the Boolean Expression? Generally, the following rules must always be followed when evaluating the Boolean expression: Primary, perform all in

List the key notions concerning macro expansion, List the key notions conce...

List the key notions concerning macro expansion. Two key notions relating to macro expansion is: 1. Expansion time control flow- Determines the order of model statements tha

Explain session_start subroutines, Can you give an example of what might be...

Can you give an example of what might be best suited to place in the application_Start and Session_Start subroutines? Application Start - We can place code to initialize var

Complicated question, Hi I need a help in this question : A telephone sw...

Hi I need a help in this question : A telephone switchboard handles ? calls on average during a rush hour, and the switchboard can at most make k connections per minute. Write a

Why we need the need of parallel computation, THE NEED OF PARALLEL COMPUTAT...

THE NEED OF PARALLEL COMPUTATION   With the growth of computer science, computational pace of the processors has also increased many a times. Though, there are definite constr

The average height or weight, A script kept information on potential subjec...

A script kept information on potential subjects for an experiment in a vector of structures known as "subjects".  The following show an example of what the contents may be: >> subj

State the important features of operating system, a. Define operating syste...

a. Define operating system? State the important features of operating system? b. Describe the following facilities for implementing interacting processes in programming language

Implementation of a data entry application, Develop and submit an original ...

Develop and submit an original implementation of a data entry application. Identify and declare variables which will hold all data that needs to be entered to fill in the attached

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