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

Define congestion, Define Congestion. Congestion: This is uneconomic ...

Define Congestion. Congestion: This is uneconomic to give sufficient equipment to carry all the traffic which could possibly be offered to a telecommunication system. Inside

Discuss in detail about micro computer, Discuss in detail about Micro compu...

Discuss in detail about Micro computer A microcomputer's CPU is a microprocessor. The microcomputer was originated in late 1970s. The first microcomputer was built around 8-bit

Vector reduction instructions-vector processing, Vector reduction Instructi...

Vector reduction Instructions : When operations on vector are being deduced to scalar items as the result, then these are the vector reduction instructions. These instructions are

Minimumshelf program in c, At a shop of marbles, packs of marbles are prepa...

At a shop of marbles, packs of marbles are prepared. Packets are named A, B, C, D, E …….. All packets are kept in a VERTICAL SHELF in random order. Any numbers of packets with thes

What is register set, What is Register Set Register Set:  Register set ...

What is Register Set Register Set:  Register set is used to keep immediate data during the implementation of instruction. This area of processor having of various registers.

Animation for project, Final Animation This is the final piece of work ...

Final Animation This is the final piece of work that should stand on its own as a piece of Art or Design. This is your personal response to the idea of Transformation - The pro

What do you mean by mouse protocols, Q. What do you mean by Mouse Protocols...

Q. What do you mean by Mouse Protocols? Mouse protocol is the digital code to that signal from the mouse gets converted. There are four main protocols: Microsoft, Mouse Systems

Update -task updates, Update -task updates are Asynchronous updates.

Update -task updates are Asynchronous updates.

Explain the working of a weighted register d/a converter, With the help of ...

With the help of a neat diagram, explain the working of a weighted-resistor D/A converter. Ans Weighted Register D/A Converter:   Digital input that has 4 bits

C, "Super ASCII", if it contains the character frequency equal to their asc...

"Super ASCII", if it contains the character frequency equal to their ascii values. String will contain only lower case alphabets (''a''-''z'') and the ascii values will starts from

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