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 is external modems, Q. What is External Modems? External Modems: M...

Q. What is External Modems? External Modems: Modems externally associated to PC via a parallel or serial port and into a telephone line at the other end. They can generally co

Should validation occur server-side or client-side, Should validation (did ...

Should validation (did the user enter a real date) occur server-side or client-side? Why? Validation will be done in both sides i.e., at the server side and client side. Ser

Which type of web document is run at the client site, Which type of web doc...

Which type of web document is run at the client site? Active web document is a type of web document is run at client side.

Functions of an operating system, Question a) In multitasking Operatin...

Question a) In multitasking Operating Systems, there are two kinds of multitasking such as the "Preemptive Multitasking" and the "Cooperative Multitasking". Explain the two me

Define router, A router is used to Distributes information among networ...

A router is used to Distributes information among networks.

Overflow condition in linked list, Overflow condition in linked list may ha...

Overflow condition in linked list may happen when attempting to Make a node when free space pool is empty.

Evaluate expression by using convention , Evaluate x = A ‾.B + C ( ) usin...

Evaluate x = A ‾.B + C ( ) using the convention A = True and B = False. Ans. Simplify given expression x = A ‾ .B + C ( ) as = A ‾ B + C (A ‾ + D ‾ ) (As = A ‾ +D ‾ usin

Define the time required by sector to reach below read/write, is the time r...

is the time required by a sector to reach below read/write head. Latency Time is the time needed by a sector to reach below read/write head.

State the relative addressing, State the Relative addressing The locati...

State the Relative addressing The location of data is specified relative to current value of the program counter. This is helpful for specifying location of data which is given

Explain about data registers, Q. Explain about data registers? The data...

Q. Explain about data registers? The data registers are used just for storing intermediate results or data and not for operand address calculation. Some dedicated address re

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages