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

Transfer of control, Question a) Name and explian the four essential ...

Question a) Name and explian the four essential elements of a machine instruction. b) Provide any four common examples of mnemonics. c) The level of disagreement conce

Explain what are video and graphic in multimedia application, Question: ...

Question: (a) Copying a graphic image from the Web will be as easy as pointing to it and clicking the right mouse button or performing a screen capture. The question is, under

Explain hybrid network in standard telephone hand set, Explain Hybrid Netwo...

Explain Hybrid Network in Standard Telephone hand set. Hybrid network: The hybrid network (sometimes termed as a duplex coil or hybrid coil) in a telephone set is a particula

How to working in dreamweaver, Q. How to Working in Dreamweaver? Let's ...

Q. How to Working in Dreamweaver? Let's now start our journey into the realm of Dreamweaver. We begin with typing in a few test lines in Design view. See that how our work area

Determine a ring counter that consisting of five flip-flops, A ring counter...

A ring counter consisting of five Flip-Flops will have ? Ans. A ring counter have 5 states while consisting of Five Flip-Flops.

Which rule is used for the expansion of nested macro calls, The expansion ...

The expansion of nested macro calls done by using of? Ans. LIFO rule is used for the expansion of nested macro calls.

Show data representation for computation, Binary codes exist for any fundam...

Binary codes exist for any fundamental representation. Binary codes can be created for any set of discrete elements for example colors, spectrum, musical notes, chessboard position

Translator for low level programming language, Translator for low level pro...

Translator for low level programming language were termed as? Ans. Translator for low level programming language is called as Assembler.

A digital signature, A digital signature is   encrypting information

A digital signature is   encrypting information

Configure port to send logic, Configure port A for the lower 4 bits to be i...

Configure port A for the lower 4 bits to be inputs and the upper 4 bits to be outputs. The program should chase a logic one from Pa4 -> Pa7, depending upon the condition of Pa0-Pa3

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