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

Communications between the user and the server, Communications between the ...

Communications between the user and the server A significant enhancement was achieved when communications between the user and the server was sent in encrypted form and later

Matlab, 33.A juice company manufactures one-gallon bottles of three types o...

33.A juice company manufactures one-gallon bottles of three types of juice blends using orange, pineapple, and mango juice. The blends have the following compositions: 1 gallon or

Why we use modem, Q. Why we use Modem? A Modem is one device which most...

Q. Why we use Modem? A Modem is one device which most computer users who have surfed Internet are aware of.  A modem is neededsincehowever most of telecommunications have becom

How to upgrade to the latest version using magento connect, Upgrading Magen...

Upgrading Magento to the latest version is a fairly easy task. Copy and Paste this key magento-core/Mage_All_Latest VIA Magento Connect where it states Paste extension key to insta

Describe characteristics needed for an e-commerce server, Describe the addi...

Describe the additional characteristics needed for an e-commerce server? E-commerce services need dynamic configuration abilities and seasonal and every day service configurat

Instruction set architecture - computer architecture, Instruction Set Archi...

Instruction Set Architecture:                             Instruction set architecture cycle-it is smallest unit of time in a processor. superscalar processor

Shell script, shell script for addnames that has to be called as class list...

shell script for addnames that has to be called as class list in the name of the class list file and username is a particular student''s username

Define deadlock with resource request and allocation graph, Define Deadlock...

Define Deadlock with Resource request and allocation graph (RRAG) Deadlocks can be described through a directed bipartite graph termed as a RRAG that is Resource Request All

Design a xnor gate and define its work, N number of XNOR gates is linked in...

N number of XNOR gates is linked in series that is the N inputs (A0, A1, A2......) are specified in the subsequently way: A0 and A1 to first XNOR gate and A2 and O/P of First XNOR

Write a program using linq to find the sum of first 5 prime , Class Program...

Class Program { static void Main() { int[] MyPrimeNumbers = {1,2,3,5,7}; // Use the Count() and Sum() Standard Query Operators to // compute the count an whole su

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