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

Programming with parallel virtual machine, Q. Programming with parallel vir...

Q. Programming with parallel virtual machine? The general method for writing a program with PVM is like this:  A user writes one or more sequential programs in C++, C or FOR

Personal computer software, Personal Computer Software     The perso...

Personal Computer Software     The personal computer software market has burgeoned from the past decade. Spreadsheets, Word processing, computer graphics, database managemen

Explain macro definition and call, Explain Macro definition and call. ...

Explain Macro definition and call. Macro: The assembly language programming frequently finds this necessary to repeat certain piece of code several times during the course of

Function of osi transport layer, Q. Function of OSI Transport Layer? - ...

Q. Function of OSI Transport Layer? - It takes the information to be sent as well as breaks it into individual packets that are sent and reassembled into a complete message by

Explain the parallel data storage - application of flip flop, Explain the P...

Explain the Parallel Data Storage - application of flip flops? In digital systems, data are usually stored in groups of bits that represent numbers, codes, or other information

ASP.NET, I have developed a web application in .net & if the web applicati...

I have developed a web application in .net & if the web application is idle for some time & after that if we perform some action on that web page then it doesn''t respond. Can you

Explain transmission gate-based d-latch, The Transmission-Gate input is lin...

The Transmission-Gate input is linked to the D_LATCH data input (D), the control input to the Transmission-Gate is linked to the D_LATCH enable input (EN) and the Transmission-Gate

Prove boolean identities using boolean algebra, Prove the following Boolean...

Prove the following Boolean identities using the laws of Boolean algebra: ABC + AB ‾C + ABC ‾ = A(B + C) Ans. ABC+AB'C+ABC'=A(B + C) LHS AC(B+B')+AB(C+C') OR  AC+AB OR  A(B

What is stack, Stack is a portion of RAM used for saving the content of Pro...

Stack is a portion of RAM used for saving the content of Program Counter and common purpose registers. LIFO stacks, also called as "push down" stacks, are the conceptually easi

Return a string, Write a function that will prompt the user individually fo...

Write a function that will prompt the user individually for a filename and extension and will make and return a string with the form 'filename.ext'.

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