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

Execute a reduce operation over members of specified group, Q. Execute a re...

Q. Execute a reduce operation over members of specified group? int info = pvm_reduce( void (*func)(), void *data, int count, int datatype, int msgtag, char    *group, int root

Explain time slot interchange, Discuss the basic structure and principle of...

Discuss the basic structure and principle of operation of Time Slot Interchange (TSI) switch with the help of a neat diagram. Principle of time slot interchange  Time

What is ale and explain the functions of ale in 8085, ALE-> Address latch e...

ALE-> Address latch enable...In the case of microcontroller (8051)& microprocessor 8085 the data line and low order 8 bit address lines are multiplexed. In order to getting address

What is insertion sort, What is insertion sort? Insertion Sort : One o...

What is insertion sort? Insertion Sort : One of the easiest sorting algorithms is the insertion sort. Insertion sort having of n - 1 passes. For pass p = 2 by  n, insertion so

Write statement, Rounding off of values can be carried out using the write ...

Rounding off of values can be carried out using the write statement. Yes, Rounding off value can be out by using the write statement.

What are the primary models of supply chain management, What are the primar...

What are the primary models of Supply Chain Management? Two Primary models of Supply Chain Management are illustrated below: a. Porter’s Value Chain Model and b. Supply

Define speculative execution, Define speculative execution. Speculative...

Define speculative execution. Speculative execution means that instructions are implemented before the processor is particular that they are in the correct execution sequence.

When should we stop testing, When should you stop testing? It is quite ...

When should you stop testing? It is quite complex to determine as many modern software applications are so complex and run in like an interdependent environment that complete t

Explain the concept behind pre-compositing adobe, Question 1: (a) Expl...

Question 1: (a) Explain the concept behind Pre-Compositing Adobe After Effects. (b) Briefly describe the Wiggler function in Animation help in Adobe After Effects. (c)

Explain concurrent sharing, Explain Concurrent sharing. Concurrent s...

Explain Concurrent sharing. Concurrent sharing: Some number of programs may share a file concurrently. While this is the case, this is essential to ignore mutual interferen

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