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

Interfacing assembly language routines, By now you can write procedures bot...

By now you can write procedures both internal andexternal and pass parameters particularly through stack.Let's us use these concepts to see how assembly language can be interfaced

C++ program, A palindrome is a string that reads the same from both the end...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

AWS, hosting on aws

hosting on aws

What is fork, What is Fork Clk gets its value after 1 time unit, rese...

What is Fork Clk gets its value after 1 time unit, reset after 10 time units, enable after 5 time units, data after 3 time units. All the statements are executed in parallel.

Signalling connection control part and message transfer part, The Signallin...

The Signalling connection control part (SCCP) and message transfer part (MTP) together are referred to as (A) Signal Switching Points (SSPs) (B)  Signal Transfer Points

How debugger works internally, Whenever we compile with -g option, it will ...

Whenever we compile with -g option, it will make a symbol table, and according that table for every function and line it will call ptrace.

Explain client server model, Explain Client Server Model. In the client...

Explain Client Server Model. In the client- server model, communication usually takes the form of a request message from the client to the server asking for several works to be

Explain the physical and logical paths in a computer, How is communication ...

How is communication between computers established in Internet. What characteristics need to be defined in a communication protocol? Explain the physical and logical paths in a com

Episodes - artificial intelligence , Episodes - artificial intelligence: ...

Episodes - artificial intelligence: If an agent's current choice of action not based on its past reactions, then the environment is known as episodic. In the non-episodic envi

Name the appliances which are controlled by micro-processor, Name the appli...

Name the appliances which are controlled by micro-processor Many household appliances which are microprocessor-controlled do not have operating systems (for example microwave o

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