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

Benefits of expert system to the user, a. It improves quality by providing ...

a. It improves quality by providing consistent advice and by making reduction in the error rate. b. Expert systems are reliable and they do not overlook relevant info

What are the disadvantages of fcfs scheduling algorithm, What are the disad...

What are the disadvantages of FCFS scheduling algorithm as compared to shortest job first (SJF) scheduling? Disadvantages: (i) Waiting time can be huge if short requests w

How can i execute a php script using command line, Just run the PHP CLI (Co...

Just run the PHP CLI (Command Line Interface) program and give the PHP script file name as the command line argument. For instance, "php myScript.php", assuming "PHP" is the comman

Correct cluster, For each of the three datasets (data1.txt, data2.txt, and ...

For each of the three datasets (data1.txt, data2.txt, and data3.txt in bnhw2q2.zip), cluster the data using k-means in Matlab, with k=2, 3, 4 and 5 using the provided Matlab script

Word puzzle, You are required to make a class of WordPuzzle, which is basic...

You are required to make a class of WordPuzzle, which is basically a game of finding words inside a 2d-array of characters. The class needs to take rows and columns as arguments an

State and prove demorgan’s first theorems, State and prove Demorgan’s First...

State and prove Demorgan’s First theorems: Ans. Statement of First Theorem of De Morgan: = A‾. B‾   Proof: The two sides of the equation i.e. = is represented with logic

.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

Explain the design procedure for flip flop, Explain the Design Procedure fo...

Explain the Design Procedure for Flip Flop? The design procedure as follows. 1) Acquire the clear description of the desired flip flop X. 2) Acquire the present state- next

Which memory can not be accessed randomly, Which of following can not be ac...

Which of following can not be accessed randomly DRAM, SRAM, ROM or Magnetic tape ? Ans. Magnetic tape cannot be accessed randomly; it can only be accessed sequentially.

.., 1mechanism of artificial satellite

1mechanism of artificial satellite

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