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

Subprogram, create a stored procedure to debit a bank account user must ent...

create a stored procedure to debit a bank account user must enter account no. and amount to debited from account .the minimum balance in account should be 500. if the debited amoun

Determine the benefits of message passing, Determine the benefits of Messag...

Determine the benefits of Message passing Message passing provides two major benefits: An object's properties are expressed by its methods, thus message passing support

What do you mean by digital computer, COMPUTER ORGANIZATION & ARCHITECTURE ...

COMPUTER ORGANIZATION & ARCHITECTURE 1. What do you mean by digital computer? Explain the block diagram of a digital computer. 2. What do you mean by Difference Engine? Expl

What is called when distortion caused on telephone line, Distortion caused ...

Distortion caused on telephone line by an adjacent one is called (A) Cross Fire                      (B) Inductive Disturbance (C)  Cross Talk                     (D) Non

#project, how to build PVR set-top box using raspberry

how to build PVR set-top box using raspberry

Explain call by value and call by reference, Call by value and Call by refe...

Call by value and Call by reference Call by value means sending the values of the arguments- The value of each of the original arguments in the calling function is copied in

What is optical character recognition, What is Optical character recognitio...

What is Optical character recognition (OCR)  Information on paper is automatically read by a scanner and is then processed/analysed by OCR software and stored in an electronic

Explain multihomed host, Write short notes on the Multihomed host. A ho...

Write short notes on the Multihomed host. A host computer that connects to multiple networks is termed as multi-homed host. Multihoming is occasionally used to raise reliabilit

Comparison between motorola processors and intel processors, Comparison bet...

Comparison between Motorola processors and INTEL processors: Intel/AMD processors are really about the same thing.  They run the same software and operate in a very similar ma

Describe five bit even parity checker, Describe five bit even parity checke...

Describe five bit even parity checker. Ans: Five bit even parity checker: EX-OR gates are utilized for checking the parity as they generate output 1, while the input ha

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