Determine Boolean identities using Boolean algebra, Computer Engineering

Assignment Help:

Prove the following identities
 
a. A
‾B‾C‾ + A‾BC‾ + AB‾C‾ + ABC‾ = C
b. AB + ABC + A
‾ B + AB‾C = B + AC

Ans.

a. LHS = A'B'C' + A'BC' + AB'C' + ABC'
= A'C' (B' + B) + AC' (B' + B)
= A'C' + AC'   [as B'+B = 1]
= C' (A' + A)
= C'                   [since A'+A =1]
= RHS.
Thus Proved

b. LHS = AB + ABC + A'B + AB'C

= B + AC
= B (A + A') +  AC (B + B')
= B + AC   [as B + B' = A + A' = 1]
= B + AC
= RHS.
Thus Proved


Related Discussions:- Determine Boolean identities using Boolean algebra

What is software quality assuranc, Software QA includes the whole software ...

Software QA includes the whole software development PROCESS - improving and monitoring the process, making sure that any agreed-upon standards and processes are followed, and ensur

Define relocation bits utilized by relocating loader, Relocation bits used ...

Relocation bits used by relocating loader are specified by? Ans. Relocation bits utilized by relocating loader are identified by Assembler or Translator.

How a pointer variable declared in c, How a pointer variable declared in C ...

How a pointer variable declared in C ? Why is it sometimes desirable to pass a pointer to a function as an argument? A pointer is a variable which contains the address in memor

Multithreaded architecture, Q. Multithreaded Architecture? It is clear ...

Q. Multithreaded Architecture? It is clear at the moment if we provide a lot of contexts to multiple threads then processors with numerous contexts are known as multithreaded s

Explain the boolean equations for logic circuits, Explain The Boolean Equat...

Explain The Boolean Equations for Logic Circuits? A Boolean equation is the mathematical representation of a logic circuit using standard Boolean terms. All the logic gates (AND,

Explain the term- signals, Explain the term- Signals -  Signals are use...

Explain the term- Signals -  Signals are used for communication between components -  Signals can be seen as real, physical signals -  Some delay should be incurred in a

Two layer artificial neural networks, Two Layer Artificial Neural Networks:...

Two Layer Artificial Neural Networks: However decision trees are whenever powerful they are as a simple representation scheme. Whereas graphical on the surface that they can b

Explain about cathode ray tubes, Q. Explain about Cathode Ray Tubes? Ca...

Q. Explain about Cathode Ray Tubes? Cathode ray tube is the major technology on that televisions and monitors have been based.  CRT is a partially evacuated glass tube which is

What is loader, What is loader? Loader is a system software which havin...

What is loader? Loader is a system software which having a set of utility programs. It will load the object program to the memory.

Cohesion assignments, what can be different assignments given on this topic...

what can be different assignments given on this topic?

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