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

Determine the simplified sop boolean expression, Reduce the following equat...

Reduce the following equation using k-map Y = BC‾D‾ + A‾BC‾D + ABC‾D + A‾BCD + ABCD Ans. Multiplying the first term with (A+A') Y = A'BC'D' + ABC'D' + A'BC'D + ABC'D + A'BCD + A

Give difference between compiler and interpreter, Give difference between c...

Give difference between compiler and interpreter. Compiler: It is a translator for machine independent HLL as FORTRAN and COBOL etc. Interpreter: It analysis the source

What is the basic approach of page replacement, What is the basic approach ...

What is the basic approach of page replacement?  If no frame is free is available, find one that is not currently being used and free it. A frame can be freed by writing its co

What is index register, What is index register? In index mode the effec...

What is index register? In index mode the effective address of the operand is formed by adding a constant value to the contents of a register. The register used might be either

Write miss policy - cache memories, WRITE MISS POLICY:   Write allo...

WRITE MISS POLICY:   Write allocate   fetch on write   fetch entire block, then write word into block   allocate a new block on each writ   allocate block, but

Explain essential loop in process scheduling, Explain essential loop in Pro...

Explain essential loop in Process Scheduling . The complex part of scheduling is to balance policy enforcement along with resource optimization so as to pick the best job to run

What is a null object in c++, It is an object of a number of classes whose ...

It is an object of a number of classes whose purpose is to indicate that a real object of that class does not exist. One common use for a null object is a return value from a membe

Illustrate the history of computers, Q. Illustrate the history of computers...

Q. Illustrate the history of computers? Let's now consider history of computers since this will give fundamental information about technological development trends in computer

Prolog programming language - artificial intelligence, Prolog Programming L...

Prolog Programming Language - Artificial intelligence: Most of the programming languages are procedural: the programmer specifies exactly the correct instructions (algorithms)

What are assets in adobe premiere pro, Question: a) What is the meanin...

Question: a) What is the meaning of the term CTI in Adobe Premiere Pro? b) What are assets in Adobe Premiere Pro? c) In Adobe Premiere Pro, what is the principal diffe

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