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

Posix threads and mutex, The objective of this practical assignment is to u...

The objective of this practical assignment is to use the POSIX environment to write a program that simulates the supply and demand between three processes: warehouse, factory and r

What is an accessor in c++, An accessor is a class operation that does not ...

An accessor is a class operation that does not change the state of an object in C++. The access or functions require to be declared as const operations

Send a report to the printer, How to send a report to the printer instead o...

How to send a report to the printer instead of displaying it on the screen? We can send a report to the printer instead of displaying it on the screen.  To do this, use the key

Explain the meaning of connect socket primitive, Explain the meaning of ...

Explain the meaning of CONNECT socket primitive. The connect Primitive: Clients utilize procedure connect to establish connection with an exact server. The form is

Illustrate about compact disk rewritable, Q. Illustrate about Compact Disk ...

Q. Illustrate about Compact Disk Rewritable? CD-RW optical disk can be repeatedly written and overwritten same as with a magnetic disk. Even though a number of techniques have

Determine the boolean expression using k-map, Reduce the following equation...

Reduce the following equation using k-map Y = BC‾D‾ + A‾BC‾D + ABC‾D + A‾BCD + ABCD Ans. Multiplying the first term with (A+A') Y = A'BC'D' + ABC'D' + A'BC'D + ABC'D + A'BCD +

Show the conditional jump in program with example, Q. Show the conditional ...

Q. Show the conditional jump in program? CMP    AX, BX                      ; compare instruction: sets flags JNE     FIX                             ; if not equal do addi

What is information technology, Information Technology is nothing but the s...

Information Technology is nothing but the study, design, development, execution, support and management of computer based information systems mainly the applications software & har

Advantages of using the electronic mail system, Question : a) E-mail is...

Question : a) E-mail is a common feature nowadays in IT. What does it stands for and what is it used for? b) Briefly describe four advantages of using the electronic mail s

How is the command suppress-dialog useful, How is the command Suppress-Dial...

How is the command Suppress-Dialog useful? Suppressing whole screens is possible using this command.  This command permits us to perform screen processing "in the background".

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