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

Describe the necessary conditions for deadlock, Describe the necessary cond...

Describe the necessary conditions for Deadlock. Required conditions for deadlock 1. Mutual exclusion 2. Hold and wait 3. No preemption 4. Circular wait Mutual e

Logical difference among move a to b and compute b = a, What is the  logic...

What is the  logical difference among Move A TO B and COMPUTE B = A ? Ans) In case of Move A TO B it will move whatever the value of a in to b. It mean it will move nume

Program in java, Write a program to display grade message according to the ...

Write a program to display grade message according to the marks

What is the working set of a process, What is the working set of a process?...

What is the working set of a process? The set of pages that are referred by the method in the last "n", references, where "n" is called the window of the working set of the pro

Describe the operation of parallel in parallel out, Describe the operation ...

Describe the operation of parallel in parallel out (PIPO) shift register. Ans:  Parallel In Parallel Out: By the name suggests, in parallel in parallel out that is a

Compare excess 3 codes and gray code, Compare excess 3 codes and gray cod...

Compare excess 3 codes and gray code. Ans. Excess 3 Codes 1. This is the other form of BCD code. All decimal digits are coded in 4 bit binary code. 2. The code

Important terms related to systems, Purpose, Environment, Boundary, Inputs,...

Purpose, Environment, Boundary, Inputs, and Outputs are a number of important terms related to Systems. A System's objective/purpose is the reason for its existence and refe

Pruning and sorting, Pruning and Sorting: This means we can test where...

Pruning and Sorting: This means we can test where each hypothesis explains as entails a common example that we can associate to a hypothesis a set of positive elements in whic

Link your documents to site, Images in the top area of Compass home page gu...

Images in the top area of Compass home page guide visitors to specific pages on the site. Now you will add links for navigation buttons. You will see that there are some ways to

State about CSMA/CA, State about CSMA/CA It belongs to a class of proto...

State about CSMA/CA It belongs to a class of protocols known as multiple access methods. CSMA/CA  stands  for:  Carrier  Sense  Multiple  Access  with  Collision Avoidance.  In

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