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 about heterogeneous linked list, If you are using C language to imp...

If you are using C language to implement the heterogeneous linked list, what pointer type will you use? The heterogeneous linked list having different data types in its nodes a

Automatic switching system and manual switching system, Discuss the advanta...

Discuss the advantages of automatic switching systems over manual switching system. Automatic switching systems have some advantages over the manual exchanges: 1. In a manua

Basic computer, The use of Information Technology (IT) is well known. IT ha...

The use of Information Technology (IT) is well known. IT has turn into a must for survival of all business houses with growing information technology trends. Computer is main compo

Statistical technique, Ask qa survey was conducted among the residents of p...

Ask qa survey was conducted among the residents of pune city,it suburbs and the pune cantonment area.the following three pie diagrams show their respective preferences for living i

Why is TCP called end-to-end protocol, Why is TCP called end-to-end protoco...

Why is TCP called end-to-end protocol? TCP is termed as an end-to-end protocol as this provides a connection directly by an application in one computer to an application on a r

Example of input a single digit, Q. Example of Input a Single Digit? I...

Q. Example of Input a Single Digit? Input a Single Digit for example (0,1, 2, 3, 4, 5, 6, 7, 8, 9)  CODE SEGMENT   ... ; Read a single digit in BL register with ech

Determine the disadvantages of fact finding, Determine the Disadvantages of...

Determine the Disadvantages of fact finding -  People are usually uncomfortable being watched and may work in a different way -  What they are watching may not be represent

What is block scope, What is Block scope Block scope: The variables w...

What is Block scope Block scope: The variables with block scope appear in a block or within the list of formal parameter declarations in a function definition. It is visible

Convert decimal number to ocatl number, Convert (177.25) 10 to octal A...

Convert (177.25) 10 to octal Ans. 177.25) 10 = (         ) 8 Firstly we take integer part Hence (177) 10 = (261) 8 Now as 0.25 x 8 = 2.00 and 0.00 x 8 = 0 Therefor

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