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

What are the types of assemblies, What are the Types of Assemblies? One...

What are the Types of Assemblies? One of the drawback of using Visual Studio.NET and the .NET framework to develop applications has been the lack of cross-platform support. As

Name the approaches used for generating the control signals, What are the t...

What are the two approaches used for generating the control signals in proper sequence? Hardwired control Micro programmed control

Determine the uses of memory blocks, Determine the Uses of memory blocks. ...

Determine the Uses of memory blocks. Not as common a technique though something to consider. As Verilog has a very convenient syntax for declaring and loading memories, you ca

Decision Tree - ID3 algorithm:, . weather (windy, rainy or sunny) 2. how...

. weather (windy, rainy or sunny) 2. how much money you have (rich or poor) 3. whether your parents are visiting (yes or no)

Create new user account - system administrator, A common task for a system ...

A common task for a system administrator is to create new user accounts. In this lab you will be creating output that looks like an /etc/passwd file. The Problem You are to

Contact-based keyboards, Contact-based keyboards employ switches directly. ...

Contact-based keyboards employ switches directly. Though they have a comparatively shorter life they are the most preferred type these days because of their lower cost.  Three such

Explain the accuracy of an ADC, Explain the Accuracy o f an ADC. Ans...

Explain the Accuracy o f an ADC. Ans Accuracy- The accuracy of D to A converter is the difference among actual output voltage and the expected output voltage in D to A c

What are the benefits of micro programmed control, a. What are the benefits...

a. What are the benefits of hardwired and micro programmed control? b. Sketch neat diagram of single bus organization of CPU showing ALU, all types of registers and the data pat

What are the input devices, What are the Input devices Various devices ...

What are the Input devices Various devices are available for data input on graphics workstations. Most systems have a keyboard and one or more additional devices specially desi

How do you import data from one more access database, The process of import...

The process of importing data from one more Access database follows these common steps they are. ? Preparing the document for import operation and make ensure that extensions ar

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