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

Octave project, i need help with an octave program

i need help with an octave program

What is known as multiphase clocking, What is known as multiphase clocking?...

What is known as multiphase clocking? When edge-triggered flip flops are not used, two or more clock signals may be required to guarantee proper transfer of data. This is calle

Define bootstrap loader, Define bootstrap loader? The ROM portion of ma...

Define bootstrap loader? The ROM portion of main memory is required for storing an initial program known as bootstrap loader. It is a program whose function is to start the com

Define the term electronic cheques in briefly, Define the term Electronic C...

Define the term Electronic Cheques in briefly. The other mechanism for Internet payment is electronic cheques. Along with electronic cheques, there payer (either a business or

Explain the working of dynamic ram - computer memory, Explain the working o...

Explain the working of Dynamic RAM? A plain piece of hardware called a DRAM controller can be used to make DRAM behave more like SRAM and the job of the DRAM controller is to p

Which is not a valid page replacement policy, Which is not a valid page rep...

Which is not a valid page replacement policy? Ans. RU policy (Recurrently used) is not a valid page replacement policy.

Expalin massively parallel system and scalability, Massively Parallel Syste...

Massively Parallel System Indicates to a "parallel computer system" involving a huge number of processors. The numbers in a huge number of processors keeps increasing and curre

Identify the number of control lines for 16 to 1 multiplexer, The number of...

The number of control lines for 16 to 1 multiplexer is ? Ans. We have 16 = 2 4 , 4 Select lines are needed.

Illustrate about the three state table buffers, Three state table buffers ...

Three state table buffers Three state table buffers: A bus system can be constructed with the help of three state gates instead of multiplexers. A three states gate is digital

Show the bus and memory transfers, Q. Show the Bus and Memory Transfers? ...

Q. Show the Bus and Memory Transfers? A digital computer has many registers and rather than connecting wires amid all registers to transfer information between them a common bu

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