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

Explain the reference count - free memory areas, Explain the Reference Coun...

Explain the Reference Count The system relates a reference count along with each memory area to point out the number of its active users. This number is incremented while a us

How the characters used in operand data type, Q. How the Characters used in...

Q. How the Characters used in operand data type? A common form of data is character or text strings. Characters are signified in numeric form mostly in ASCII (American Standard

Write-allocate and no-write-allocate policy in a cache, (a) How does a da...

(a) How does a data cache take advantage of spatial locality? Give an suitable example. (b) What are the basic differences between a write-allocate and no-write-allocate po

naming convention in local scope variables, Description Variables show ...

Description Variables show values that can be changed within a procedure or function. Local scope variables are placeholders that reside within a function- or a script-body.

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.

What are the entities that swapped out of the main memory, What are the ent...

What are the entities that are swapped out of the main memory while swapping the process out of the main memory? All memory space occupied by the process, process's u-area, and

What are the three basic types of web documents, What are the three basic t...

What are the three basic types of web documents? There are three fundamental types of web documents: Static, Dynamic and Active. STATIC A static web document resides i

Define public identifiers, Q. Define Public Identifiers? Public Identif...

Q. Define Public Identifiers? Public Identifiers: A public identifier is one which is defined within one module of a program however potentially accessible by all of the other

What is managed code and managed data, What is managed code and managed dat...

What is managed code and managed data? Managed code is code that is written to target the services of the Common Language Runtime. In order to target these services, the code m

Explain virtual address, What is virtual address? The binary address th...

What is virtual address? The binary address that the processor used for either instruction or data known as virtual address.

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