Simplify the expressions using boolean postulates, Computer Engineering

Assignment Help:

Simplify the given expressions using Boolean postulates

XY + X‾Z‾  + XY‾Z (XY + Z)

Ans. XY + X‾Z‾ + XY‾Z (XY + Z)
= XY + X‾Z‾ + XY‾Z (XY + Z)
= XY + X‾Z‾  + XXYY‾Z + XY‾ZZ
= XY + X‾Z‾  + XYZ             (As YY‾ = 0 and ZZ = Z)
= XY + X‾ + Z‾ + XY‾Z (As X‾Z‾ = X‾ + Z‾)
= X‾ + XY + Z‾ + XY‾Z
= X‾ + X (Y + Y‾Z) + Z‾
= X‾  + X (Y +Z) + Z‾  (As Y + Y‾Z = Y+Z)
= X‾ + X Y (Z+ Z‾ ) + XZ + Z‾  (As Z+ Z‾  =1)
= X‾ + X Y Z + XYZ‾ + XZ + Z‾
= X‾ + XZ (1+ Y) + Z‾ (1+XY)
= X‾ + XZ + Z‾  (As 1+ Y = 1  and 1+XY = 1)
= X‾ + XZ) + Z‾
=(X‾ + Z) + Z‾  (As X‾ + XZ = X‾  + Z‾
= X‾  +( Z + Z‾)
= X‾ +1 (As Z + Z‾  = 1)
=1 (As X‾ +1 = 1)

 


Related Discussions:- Simplify the expressions using boolean postulates

Learning weights in perceptrons, Learning Weights in Perceptrons In det...

Learning Weights in Perceptrons In detail we will look at the learning method for weights in multi-layer networks next chapter. The following description of learning in percept

Padovan string , A Padovan string P(n) for a natural number n is defined as...

A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 where + denotes string concatenation. For a string of t

Hardware cost-network properties, Hardware Cost It refers to the cost i...

Hardware Cost It refers to the cost involved in the execution of an interconnection network. It consists of the cost of switches, connectors, , arbiter unit, interface logic an

Explain the message passing interface, Q. Explain the Message Passing Inter...

Q. Explain the Message Passing Interface? The Message Passing Interface (MPI) is a universal benchmark for providing communication among multiple simultaneous processes on a di

Handling interrupts - computer architecture, Handling Interrupts: Pre...

Handling Interrupts: Precise interrupts (sequential semantics) Complete instructions before the offending instructions o   Force trap instruction into IF o

What is the conclude of the force of gravity on an object, Q. What is the...

Q. What is the conclude of the force of gravity on an object? Answer:- Force is the vector product of mass as well as acceleration F = ma. Weight is an unusual case of t

What is edi (electronic data interchange), What is EDI (Electronic Data Int...

What is EDI (Electronic Data Interchange)? EDI: Electronic Data Interchange (EDI) is used by organizations for transactions that happen on regular basis to a pre-determined for

Name the software required to run video conferencing, Name The software req...

Name The software required to run video conferencing The software and hardware required to run video conferencing is very sophisticated. Apart from obvious items (that is large

Common problem with hill climbing, Common problem with Hill climbing: ...

Common problem with Hill climbing: An alternative way of justifying the problem is that the states are boards with 8 queens already on them, so an action is a movement of one

Explain about hexadecimal numbers system, Q. Explain about Hexadecimal Numb...

Q. Explain about Hexadecimal Numbers system? Hexadecimal system has 16 digits that are represented as 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. A number (F2) H is equivalent to

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