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

Determine the method for updating the main memory, The method for updating ...

The method for updating the main memory as soon as a word is removed from the Cache is known as  (A) Write-through                  (B) write-back   (C) protected write

Storage technology, Storage Technology: In the previous section, the, ...

Storage Technology: In the previous section, the, recent innovations relating to the processing aspects of computer technology were discussed briefly. In considering some of t

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

The spanning tree of connected graph with 10 vertices, The spanning tree of...

The spanning tree of connected graph with 10 vertices have 9 edges of spanning tree of connected graph with 10 vertices

Define about hyper-threading technology, Q. Define about Hyper-threading te...

Q. Define about Hyper-threading technology? Hyper-threading technology enables a single microprocessor to behave as two separate threaded processors to operating system and app

Find the number of PROM chips & address lines, The capacity of 2K × 16 PROM...

The capacity of 2K × 16 PROM is to be expanded to 16 K × 16.  Find the number of PROM chips required and the number of address lines in the expanded memory. Ans. Capacity requi

How can we design radio button, Q. How can we design Radio Button? Radi...

Q. How can we design Radio Button? Radio buttons are used when only one out of group of options is to be chosen. In the illustration code we have put a line break after every b

Application and function areas - artificial intelligence, Application and F...

Application and Function Areas - artificial intelligence: Individual applications and function often drive "AI" research much more than the long term relative field described

What is a compiler, What is a compiler? A Compiler is a program that ac...

What is a compiler? A Compiler is a program that accepts a program written in a high level language and creates an object program.

Explain instruction level of parallel processing, Instruction Level It ...

Instruction Level It refers to condition where different instructions of a program are implemented by different processing elements. Most processors have various execution unit

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