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

Define various system, Define various system? Single job system: Only...

Define various system? Single job system: Only one program may be run at a time, and therefore only one person might be work on a machine at one time.  Multi job system:

Power and energy, Ask questiPower and EnergyQuestion 4Consider a processor ...

Ask questiPower and EnergyQuestion 4Consider a processor that runs at 2.5 GHz and 1 Volt. When running a given CPU-bound program,the processor consumes 100 W, of which 20 W is leak

What are the different pascal standards, The original Pascal standard was a...

The original Pascal standard was an unofficial standard documented by the author, Nicklaus Wirth, in "The Report". The first official standard was ISO 7185 issued in 1983. This was

Difference among interrupt service routine and subroutine, Subroutine are t...

Subroutine are the part of implementing processes (like any process can call a subroutine for achieve task), whereas the interrupt subroutine never be the part. Interrupt subroutin

Eliminating hazards - computer architecture, Eliminating hazards of pipeli...

Eliminating hazards of pipeline -  computer architecture: We can delegate the work of eliminating data dependencies to the compiler, which can fill up in suitable number of NO

We declare a table control in the abap/4 program, How can we declare a tabl...

How can we declare a table control in the ABAP/4 program? Using the syntax controls type tableview using screen .

Cisc approach - cisc architecture, CISC Approach - CISC architecture: ...

CISC Approach - CISC architecture: The main goal of CISC architecture is to finish a task in as few lines of assembly as possible as. This is gain by building processor hardwa

Principles for developing successful system, Q. Principles for developing s...

Q. Principles for developing successful system? (1)  Both developers and customers must be involved for accuracy in the information. (2)  A problem solving approach must be

Explain common sub expression elimination, Explain briefly Common sub ex...

Explain briefly Common sub expression elimination of the commonly used code optimization techniques. Common sub expression elimination: In given expression as "(a+b)-(

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