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 engineering applications in parallel computing, Engineering Ap...

Engineering Applications A number of the engineering applications are: 1. Simulations of artificial ecosystems  2. Airflow circulation over aircraft components Airflow

Ai6301 - building blocks and techniques used in ai, The princess (or princ...

The princess (or prince if you're female) has been captured by the Evil Dragon and held prisoner in a tower. The tower is also surrounded by a maze to keep out the riff-raff. You

Explain the structure of plasma panel display, a. Explain the meaning of fr...

a. Explain the meaning of frame buffer? Draw a block diagram showing the method for scanning out an image from frame buffer to display surface. b. Explain the structure of plasm

How address resolution is performed with table lookup, How address resoluti...

How address resolution is performed with table lookup? Explain with the help of a suitable example. The approach of table lookup to address resolution needs a data structure wh

Describe about the digital cameras, Describe about the Digital cameras ...

Describe about the Digital cameras The microprocessor would be used to control the below functions, for instance: - shutter speed - lens focus - Flash - Aperture (l

Storage technology, Storage Technology: In the previous section, the, ...

Storage Technology: In the previous section, the, recent innovations relating to the processing aspects of computer technology were discussed briefly. In considering some of t

How does cpu know that an interrupt has taken place, How does CPU know that...

How does CPU know that an interrupt has taken place? There needs to be a line or a register or status word in CPU which can be increased on occurrence of interrupt situation.

How to creating a key pair, How to Creating a Key Pair You can make a...

How to Creating a Key Pair You can make a key pair using the Strong Name tool (Sn.exe). Key pair files usually have an .snk extension. To create a key pair at the command

What is an accessor in c++, An accessor is a class operation that does not ...

An accessor is a class operation that does not change the state of an object in C++. The access or functions require to be declared as const operations

What are threads, What are threads? A thread, sometimes termed as a lig...

What are threads? A thread, sometimes termed as a lightweight process (LWP), is a fundamental unit of CPU utilization; this comprises a thread ID a register set and a stack and

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