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

Give a simple example of dynamic modelling, Give a simple example of dynami...

Give a simple example of dynamic modelling using these notation A simple example using these notation is shown below in Figure:

Classification of digital computer, CLASSIFICATION  OF DIGITAL COMPUTER ...

CLASSIFICATION  OF DIGITAL COMPUTER Computer are classified under a number of factors.Some people classify them according to their processing speed.main memory,technology used

What is reflection, What is Reflection?  It extends the benefits of met...

What is Reflection?  It extends the benefits of metadata by permitting developers to inspect and use it at runtime. For example, dynamically verify all the classes contained in

Illustrate the working of encoders, Q. Illustrate the working of Encoders? ...

Q. Illustrate the working of Encoders? An Encoder performs reverse function of decoder. An encoder has 2n input lines and 'n' output line. Let's see 8 ×3 encoder that encodes 8

Explain the difference between ram and rom, RAM: Read / Write memory, High ...

RAM: Read / Write memory, High Speed, Volatile Memory. ROM: Read only memory, Low Speed, Non Voliate Memory.   RAM- Random Access memory it is a Volatile Memory.  volatil

Define the pulse-triggered (master-slave) flip-flops, Define the Pulse-Trig...

Define the Pulse-Triggered (Master-Slave) Flip-flops? The term pulse-triggered signify that data are entered into the flip-flop on the rising edge of the clock pulse, though th

What does wsdl stand for, What does WSDL stand for?  WSDL stands for We...

What does WSDL stand for?  WSDL stands for Web Services Description Language.  It is an XML representation of the web service interface. There are two parts of the operation

Find out the hexadecimal sum, Find the hex sum of (93) 16 + (DE) 16 ? Ans...

Find the hex sum of (93) 16 + (DE) 16 ? Ans. Hex Sum of (93) 16 + (DE) 16 Convert Hexadecimal numbers 93 and DE to there binary equivalent demonstrated below:- Hence (9

Write the command to show the ip host table, show hosts is the command whi...

show hosts is the command which display the IP host table

The voltage of telephone given by telephone companies, Telephone companies ...

Telephone companies normally provide a voltage of to power telephones? Telephone companies usually give a voltage of to power telephones -48 volts DC.

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