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

Computer arcticture, what is the main goal of parallel processing

what is the main goal of parallel processing

Mobility management in mobile systems, Instruction 1. You can do this i...

Instruction 1. You can do this individually or in groups of 2-3 students. 2. Any material copied and pasted from anywhere (e.g., figures and text) is considered plagiarism even

Define syntax of mpi_bcast function, Q. Define syntax of MPI_Bcast function...

Q. Define syntax of MPI_Bcast function? MPI_Bcast(msgaddr, count, datatype, rank, comm):   This function is used by a process ranked rank in group comm to transmit messag

Explain control word, What is control word? A control word is a word wh...

What is control word? A control word is a word whose individual bits show the various control signals.

Assembly langaauge microprocessor, write alp to perform bcd addition withou...

write alp to perform bcd addition without using procedure

Show the format text in document window, Q. Show the format text in Documen...

Q. Show the format text in Document window? You can format text in Document window by setting properties in Property inspector. First, select the text you want to format and th

Can a .net web application consume java web service, Can a .NET web applica...

Can a .NET web application consume Java web service? Yes Offcourse.Actually Webservices are independent  to language. It depends on WSDL and SOAP. so any single can develope t

Operating sustem, describe the action by thread library to context switch ...

describe the action by thread library to context switch between user level threads

What is assembler, What is Assembler An assembler is a program which ta...

What is Assembler An assembler is a program which takes as input a symbolic language program and produces output as its binary machine language equivalent. The input is known a

Pc configuration and troubleshooting, You have been asked to become the con...

You have been asked to become the consulting technician for MobTex, a local auto servicing centre. The general manager (Jo) realises that the IT system has evolved over time with l

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