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

Why object oriented development not only allows reuse, Why object oriented ...

Why object oriented development not only allows reuse In a wider way we can say that object oriented development not only allows reuse and information sharing within an applica

What is winchester technology, What is Winchester technology? The disk ...

What is Winchester technology? The disk and the read/write heads are placed in a sealed air-filtered enclosure known as Winchester technology.

Which header file is used for screen handling function, Which header file i...

Which header file is used for screen handling function:- The header files stdio.h having definitions of constants, macros and types, along with function declarations for stan

What is pure semiconductors, Q. What is Pure semiconductors? Pure semic...

Q. What is Pure semiconductors? Pure semiconductors, known as intrinsic semiconductors, have very few charge carriers and may hence be classified as almost insulators or very p

Directory of the distribution, I tried to run two of the applets in the exa...

I tried to run two of the applets in the examples directory of the distribution?    Ans) I tried to run two of the applets in the example directory of the distribution. I instal

Illustrate what is pascal''s principle, Illustrate what is pascal's princip...

Illustrate what is pascal's principle? Answer:- Pascal's Principle declares that the pressure is transmitted evenly through a liquid. That's why when you pump up a balloon

Projects on cluster computing, Some famous projects on cluster computing ar...

Some famous projects on cluster computing are as follows: High Net Worth Project: (developed by: Bill McMillan, JISC NTI/65 - The HNW Project, University of Glasgow, The prim

How to add cell padding, Q. How to Add Cell Padding? As you can see, te...

Q. How to Add Cell Padding? As you can see, text is too close to the edges of the cells. You will add padding to the cells to leave room between text and cells. 1.  Click in

Assignment, zero, one, two three address instructions

zero, one, two three address instructions

What is a linker program, What is a linker program? Ans. links the prog...

What is a linker program? Ans. links the program with other programs required for its execution is called a linker program.

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