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

Explain routing tone in strowger telephony, Explain routing tone in strowge...

Explain routing tone in strowger telephony with waveforms and the timings. The call-in-progress tone or routing tone is a 400 Hz or 800 Hz intermittent pattern. In electromec

Super ascii string cost, ascii code add=2unit,replace=1unit,delete=3unit.co...

ascii code add=2unit,replace=1unit,delete=3unit.convert ascii code in minimum cost

.rapid technology, Choose one area of rapid technological change in IT or C...

Choose one area of rapid technological change in IT or Computer Science and research and report on recent developments and the outlook for the future in the area that you have chos

Eight-stage process - conjunctive normal forms, Eight-stage process - Conju...

Eight-stage process - Conjunctive normal forms: Hence we notice the following eight-stage process converts any sentence with CNF as: 1. Eliminate all arrow connectives by

What is thread, What is Thread? A thread, sometimes termed a lightweigh...

What is Thread? A thread, sometimes termed a lightweight process (LWP), is a fundamental unit of CPU utilization; this comprises a thread ID, a register set, a program counter

How to add a wait state when creating a verification point, 1. Start to mak...

1. Start to make the verification point. 2. In the confirmation Point Name dialog box, select Apply wait state to confirmation point. 3. Type values for the following option

Which is not a valid page replacement policy, Which is not a valid page rep...

Which is not a valid page replacement policy? Ans. RU policy (Recurrently used) is not a valid page replacement policy.

Illustrate memory read operation, Q. Illustrate Memory Read operation? ...

Q. Illustrate Memory Read operation? Memory unit receives the address from a register known as the memory address register designated by MAR. Data is transferred to another re

How linq is beneficial than stored procedures, There are couple of benefit ...

There are couple of benefit of LINQ over stored procedures. 1. Debugging - It is really very difficult to debug the Stored procedure but as LINQ is part of .NET, you can us

Which layer is not present in TCP/IP model, Which Layer is not present in T...

Which Layer is not present in TCP/IP model? Presentation layer is not present into Transfer Control Protocol/IP Model.

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages