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

What is cgi, CGI stands for Common Gateway Interface, and is a mechanism by...

CGI stands for Common Gateway Interface, and is a mechanism by which a browser is permitted to communicate with programs running on a server. If you look at every word in turn it m

Researching strategy - artificial intelligence, Researching strategy - arti...

Researching strategy - artificial intelligence: If our search and researching strategy and swot of it is surety to find all types of hints such the solutions eventually, then

Illustrate cache dram, Q. Illustrate Cache DRAM? Cache DRAM (CDRAM) wh...

Q. Illustrate Cache DRAM? Cache DRAM (CDRAM) which is developed by Mitsubishi integrates a tiny SRAM cache (16Kb) on a generic DRAM chip. SRAM on the CDRAM can be used in two

What is the function of a data element, What is the function of a data elem...

What is the function of a data element? A data element defines the role played by a domain in a technical context.  A data element having of semantic information.

What is difference between ram and fifo, What is difference between RAM and...

What is difference between RAM and FIFO? FIFO certainly does not have address lines. It is stands for first in and first out. It is an algorithm based method. It is used to s

What are the components of i-way infrastructure, What are the components of...

What are the components of I-way Infrastructure? There are three components of the I-way infrastructure: • Consumer access equipment • Local on-Ramps • Global informat

What can digital circuits do?, Circuits can be designed to implement a spec...

Circuits can be designed to implement a specifictaske.g. a simple circuit could compare two inputvoltages and give a high output if they matched anda low output if they did not mat

Programming with loops and comparisons, Q. Programming with loops and compa...

Q. Programming with loops and comparisons? This segment deals with more practical illustrations employing comparison, loops and shift instructions. Simple Program Loops

How to add a wait state when creating a verification point, 1. Start to mak...

1. Start to make the verification point. 2. In the confirmation Point Name dialog box, select Apply wait state to confirmation point. 3. Type values for the following option

Fact finding techniques on banking system, what are the questionnaries and ...

what are the questionnaries and observation of work site for banking system?

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