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

Carry save addition and generated and propagate function, Explain carry sav...

Explain carry save addition (CSA) process. Ans: Instead of allowing the carries ripple along the rows, they can be saved and then introduced into the next roe at the right wei

Write C++ for following question., We are planning an orienteering game. Th...

We are planning an orienteering game. The aim of this game is to arrive at the goal (G) from the start (S) with the shortest distance. However, the players have to pass all the che

#title.sequential circuit, design modulo 12 up synchronous counter using t ...

design modulo 12 up synchronous counter using t flip flop

The complexity of adding two matrices, T he complexity of adding two matric...

T he complexity of adding two matrices of order m*n is mn

Do we require an x server to run in batch mode for gimp, Yes, you have to h...

Yes, you have to have some form of X server (unless you're running Windows, of course). It requires an X server for image processing, and for font manipulation. Though, if you wish

State about the data glove, State about the Data Glove  Data glove is u...

State about the Data Glove  Data glove is used to grasp a "virtual" object. The glove is constructed with a series of sensors that detect hand and finger motions. Electromagnet

One node at the highest level in the structure, There can be more than one ...

There can be more than one node at the highest level in the structure. False.  One can describe only single node at the highest level in the structure on LDB

Explain hardwired control organization, Q. Explain Hardwired control organi...

Q. Explain Hardwired control organization? In the hardwired organization control unit is designed as a combinational circuit. The control unit is applied by gates, flip-flops,

Define class np, Define class NP. Problems that can be solved in polyn...

Define class NP. Problems that can be solved in polynomial time by a nondeterministic TM. Contains all problems   in P and some problems possibly outside P.

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