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

Risks by customer perspective in electronic payment system, What are the ri...

What are the risks by customer's perspective in Electronic Payment Systems? Risks within Electronic Payment Systems: Through the customer's perspective are as follows:

Differentiate between static and dynamic memory, Differentiate between stat...

Differentiate between static and dynamic memory? The static RAM is simpler to use and has shorter read and write cycles. One of the main applications of static RAM is in execut

Design principles, The usability and user experience goalsprovidet heintera...

The usability and user experience goalsprovidet heinteraction designer with high-level goals for the interactivep roduct. Thenextissueis how to design a product that satisfies thes

Define end directive and assume directive, END DIRECTIVE: ENDS directive e...

END DIRECTIVE: ENDS directive ends a segment and ENDP directive ends a procedure and END directive ends whole program which appears as last statement. ASSUME Directive:   An .

What do you mean by single construct in fortan, Q. What do you mean by Sing...

Q. What do you mean by Single Construct in FORTAN? Single construct specifies the associated structured block is executed by just one thread in team (not essentially the master

What is stack addressing, Q. What is Stack Addressing? In this addressi...

Q. What is Stack Addressing? In this addressing technique operand is implied as top of stack. It isn't explicit however implied. It employs a CPU Register known as Stack Pointe

What are the aspects of CAD, What are the aspects of CAD Increased use ...

What are the aspects of CAD Increased use of computers has led to many of the above affects. Other aspects to consider include: -  deskilling of the work force (for illustra

How does VB.NET achieve polymorphism, How does VB.NET/C# achieve polymorphi...

How does VB.NET/C# achieve polymorphism?  VB.Net / C# give polymorphism through the following mechanisms: 1. Inheritance - base class gives overridable methods which are re-

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