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

The voltage of telephone given by telephone companies, Telephone companies ...

Telephone companies normally provide a voltage of to power telephones? Telephone companies usually give a voltage of to power telephones -48 volts DC.

fisherpersons are not over-fishing, Prepare the Relational Tables to signi...

Prepare the Relational Tables to signify the following situation, which is defined by means of text and an Entity Relationship Diagram. Note: Do not attempt to vary the ERD. Yo

Define cpu scheduling, Define CPU scheduling. CPU scheduling is the met...

Define CPU scheduling. CPU scheduling is the method of switching the CPU among various processes. CPU scheduling is the basis of multiprogrammed operating systems. By switching

What is the linkage section, The linkage section is part of a known as prog...

The linkage section is part of a known as program that 'links' or maps to data items in the calling program are working storage. It is the part of the called program where these sh

Explain point-to-point message passing, Q. Explain Point-to-point Message P...

Q. Explain Point-to-point Message Passing? In point to point message passing, one process transmits/receives message from/to another process. There are four communication modes

What is computer virus, What is computer virus?  A  computer  virus  is...

What is computer virus?  A  computer  virus  is  a  computer  program  that  is  designed  to  spread  itself between   computers.   Computer virus are inactive when standing a

What is a cooperation model, What is A cooperation model A cooperation ...

What is A cooperation model A cooperation model defines the way interdependencies are established by cooperative interactions. We recognize two basic roles services can play: c

Explain the modularity of object oriented analysis, Explain the Modularity ...

Explain the Modularity of Object oriented analysis Modularity is closely attached to encapsulation; you may think of it as a way of mapping encapsulated abstractions into phys

Explain syntax of recursion, Syntax of recursion int fib(int num) /*...

Syntax of recursion int fib(int num) /* Fibonacci value of a number */ {      switch(num) { case 0: return(0); break; case 1: return(1); break; default:  /* Incl

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