Determine Boolean identities using Boolean algebra, Computer Engineering

Assignment Help:

Prove the following identities
 
a. A
‾B‾C‾ + A‾BC‾ + AB‾C‾ + ABC‾ = C
b. AB + ABC + A
‾ B + AB‾C = B + AC

Ans.

a. LHS = A'B'C' + A'BC' + AB'C' + ABC'
= A'C' (B' + B) + AC' (B' + B)
= A'C' + AC'   [as B'+B = 1]
= C' (A' + A)
= C'                   [since A'+A =1]
= RHS.
Thus Proved

b. LHS = AB + ABC + A'B + AB'C

= B + AC
= B (A + A') +  AC (B + B')
= B + AC   [as B + B' = A + A' = 1]
= B + AC
= RHS.
Thus Proved


Related Discussions:- Determine Boolean identities using Boolean algebra

What is multiprogramming, What is multiprogramming or multitasking? The...

What is multiprogramming or multitasking? The operating system manages the concurrent implementation of several application programs to make the best possible uses of computer

What are the types of electronic payment system, What are the types of elec...

What are the types of electronic payment system? Types of the electronic payment system are as given below: The most Internet payment way for Business to Customer is credit

What is rolap, Functioning of ROLAP happens concurrently with relational da...

Functioning of ROLAP happens concurrently with relational databases. Data and tables are stored as relational tables. To hold new information or data new tables are formed. Functio

What is rdram, Direct Rambus DRAM or DRDRAM (sometimes just known as Rambus...

Direct Rambus DRAM or DRDRAM (sometimes just known as Rambus DRAM or RDRAM) is a type of synchronous dynamic RAM. RDRAM was formed by Rambus inc., in the mid-1990s as a replacement

Find out the access time of ROM using bipolar transistors, The access time ...

The access time of ROM using bipolar transistors is about ? Ans. About 1 µ sec is the access time of ROM using bipolar transistors.

Period and space tradeoffs - artificial intelligence, Period and Space Trad...

Period and Space Tradeoffs - artificial intelligence: In practice, you are going to stop your agent for long term using in searching goal at some stage if it has not found a s

Detail explanation of cryptographic modules, Detail explanation of Cryptogr...

Detail explanation of Cryptographic modules Physical security of the cryptographic modules is also built in order to provide total security of the whole system and protect from

Programs, A palindrome is a string that reads the same from both the ends. ...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

Comparator, 6 bit magnitude comparator

6 bit magnitude comparator

Functions carried out by different operating systems, Functions carried out...

Functions carried out by different operating systems The below is a list of functions carried out by different operating systems: - Provides a user interface - Device man

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