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

What do you understand by client-server architecture, Question: (a) (i...

Question: (a) (i) Explain what do you understand by Client/server architecture? (ii) List and briefly describe 3 types of Client/server architecture. (b) The most impo

Define program counter, Define Program Counter(PC) The Program Counter ...

Define Program Counter(PC) The Program Counter holds the address of the next instruction to be read from memory after the current instruction is implemented.

Mention the various IC logic families, Mention the various IC logic familie...

Mention the various IC logic families. Ans. Different IC Logic Families: Digital IC's are fabricated through employing either the Unipolar or the Bipolar Technologies and are te

When is a memory unit called as ram, When is a memory unit called as RAM? ...

When is a memory unit called as RAM? A memory unit is called as RAM if any location can be accessed for a read or writes operation in some fixed quantity of time that is indepe

What is a PCI bus and discuss its aspects and usage, What is a PCI bus? Dis...

What is a PCI bus? Discuss its aspects and usage. Peripheral Component Interconnect (PCI): This bus was developed by Intel and introduced in 1993. It is geared specifically to

Show organisation of clos network, Q. Show Organisation of Clos network? ...

Q. Show Organisation of Clos network? Clos network: This network was designed by Clos (1953). It's a non-blocking network and offers full connectivity similar to crossbar netw

Explain the mechanisms of propagation of radio communication, Explain the m...

Explain the mechanisms of propagation of radio communication. Radio communication deals along with electronic radiation of electromagnetic energy from one point to other by the

Illustrate the working of flip-flops, Q. Illustrate the working of FLIP-FLO...

Q. Illustrate the working of FLIP-FLOPS? A flip-flop is a binary cell that stores 1-bit of information. It itself is a sequential circuit. We know that flip-flop can change its

How much duration is required for an off-hook signal, An off-hook signal wi...

An off-hook signal will repeat for a/an duration. For a/an finite duration, an off-hook signal will repeat.

What are the four necessary condition of deadlock prevention, What are the ...

What are the four necessary conditions of deadlock prevention? Four essential conditions for deadlock prevention are: 1. Removing the mutual exclusion condition implie

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages