Prove the equations using the boolean algebraic theorems, Computer Engineering

Assignment Help:

Prove the equations A + A‾ .B + A.B‾ = A + B using the Boolean algebraic theorems ?

Ans.
The equation is A + A‾.B + A.B‾ = A + B
L.H.S. = A + A‾ .B + A.B‾
= (A + A.B‾) + A‾.B
= A (1+ B‾) + A‾.B
= A + A‾ .B (? 1+B‾ =1)
= (A +A‾ ) (A + B)
= (A + B) (? A + A‾ = 1)
= R.H.S
Thus Proved

Related Discussions:- Prove the equations using the boolean algebraic theorems

Multiple stack, how to implement the multiple stack

how to implement the multiple stack

Ia-32 support, In order to support IA-32, the Itanium can switch into 32-bi...

In order to support IA-32, the Itanium can switch into 32-bit mode with special jump escape instructions. The IA-32 instructions have been mapped to the Itanium's functional units.

Define categorization of parallel computers, Types Of Categorization Th...

Types Of Categorization The subsequent categorization of parallel computers has been identified: 1) Categorization based on the instructions and data streams 2) Catego

Types of validation controls provided by asp.net, Types of validation contr...

Types of validation controls provided by ASP.Net There are following types of validation controls provided by ASP.Net: 1. Required Field Validator 2. Compare Validator

Autonomous rational an agents, Autonomous Rational an Agents: In many ...

Autonomous Rational an Agents: In many cases, it is inaccurate to talk about a single program or a single robot, as the multi-purpose and multi-tasking system of hardware and

An 8086 interrupt, An 8086 interrupt can take placedue to the following rea...

An 8086 interrupt can take placedue to the following reasons: 1. Hardware interrupts caused by some external hardware device. 2. Software interrupts that can be invoked wit

Concurrently read concurrently write, Q. Concurrently read concurrently wri...

Q. Concurrently read concurrently write? It is one of the models derived from PRAM. In this model the processors access the memory locations simultaneously for reading and writ

What is meant by the guest function, When transferring one functio...

When transferring one function to another, what is meant by the guest function? A pointer to a function can be passed to another function as an argument. This allows

Name the four steps in pipelining, Name the four steps in pipelining. F...

Name the four steps in pipelining. Fetch : Read the instruction from the memory. Decode : Decode the instruction and get the source operand. Execute : Perform the operat

Physics, derive an expression for vandar wall equation of state?

derive an expression for vandar wall equation of state?

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages