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

Scope of expert system, The scope of the experts system is very limite...

The scope of the experts system is very limited. It cannot work outside the field it is being used. The users knowledge is required to adjust to new situation. To reduce

What is meant by inter process communication, What is meant by inter proces...

What is meant by inter process communication? Inter process Communication: The OS give the means for cooperating processes to communicate with each other through an inter pro

Assignment for statical natural language processing, Hi I study master of ...

Hi I study master of computer science I have assignment for subject statical natural language processing . I need solved due date on 6 May2014 at 11 pm Australia time I need yo

Canonical genetic algorithm - artificial intelligence, Canonical Genetic Al...

Canonical Genetic Algorithm: In such a scenario with all search techniques there one of the first questions to ask along with GAs is how to define a search space that is actua

What all 1's represents in 32bit ip addressing scheme, In 32bit IP Addressi...

In 32bit IP Addressing scheme all 1's represent? All 1's represent limited broadcast in 32 bit IP Addressing scheme.

What is null pointer, What is NULL POINTER Inside main, a FILE * called...

What is NULL POINTER Inside main, a FILE * called file. Afterwards, the fopen function, passing it the path to data file, as well as "r", only intending to read from the file.

Environments -artificial intelligence, Environments: We have seen that...

Environments: We have seen that an agents intelligent should take into account certain information when it choose a rational action, including information from its sensors, in

Explain the hamiltonian path, What is Hamiltonian path?  A Hamiltonian ...

What is Hamiltonian path?  A Hamiltonian path in a directed graph G is a directed path that goes by each node exactly once. We consider a special case of this difficulty where

Device drivers in ms-dos, In MS-DOS device drivers are installed and loaded...

In MS-DOS device drivers are installed and loaded dynamically it implies that they are loaded into memory when computer is started or re-booted and accessed by operating system as

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