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

Arterial puncture - specimen collection, Arterial puncture - Specimen colle...

Arterial puncture - Specimen collection: Arterial puncture:    this requires special skill and usually performed only by physician. The preferred site is radial arter

Advantages of e-commerce, One of the resources we used was Ajeet Khurana's ...

One of the resources we used was Ajeet Khurana's article that talks about the advantages of e-commerce. It was helpful to gain some background on the variety of benefits the electr

Address phase - computer architecture, Address phase: A PCI bus transa...

Address phase: A PCI bus transaction starts having an address phase. The initiator,  after seeing that it has GNT# and the bus is inactive, drives the target address onto the

Drawbacks to having call centres overseas, Drawbacks to having call centres...

Drawbacks to having call centres overseas -  Culture and language problems -  Animosity to overseas call centres (resulting in loss of customers) -  need for extensive r

Functionality of hyper thread processor, Hyper-threading works by duplicati...

Hyper-threading works by duplicating those sections of processor that kept the architectural state-but not duplicates the main implementation resources. This allows a Hyper-threadi

Information technology or information system, Information Technology or Inf...

Information Technology or Information System Before going further we need to clarify what we mean by the term information system. It is easy to confuse terminology as many tex

What is basic time division switching, What is Basic Time Division Switch...

What is Basic Time Division Switching? Basic Time Division Switching: The functional blocks of a memory based time division switching switch is demonstrated in figure and i

Main benefits of cd-rom, The main benefits of CD-ROMs are: These are...

The main benefits of CD-ROMs are: These are removable disks, thus they are suitable for archival storage mass replication is cheap and fast large storage capacity

What is control function, Q. What is control function? If transfer is t...

Q. What is control function? If transfer is to take place only under a predetermined control condition then this condition can be specified as a control function. For illustrat

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