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

Period and space tradeoffs - artificial intelligence, Period and Space Trad...

Period and Space Tradeoffs - artificial intelligence: In practice, you are going to stop your agent for long term using in searching goal at some stage if it has not found a s

Nmknl''knl, Ask question bhjjnjnnjnjm#Minimum 100 words accepted#

Ask question bhjjnjnnjnjm#Minimum 100 words accepted#

Users to run programs at same time, A computer system that allows multiple ...

A computer system that allows multiple users to run programs at similar time   Multi tasking system

What are the roll and page areas, What are the roll and page areas? Ro...

What are the roll and page areas? Roll and page areas are SAP R/3 buffers used to kept user contexts (process requests).  The SAP dispatcher assigns procedure requests to work

Development of information system, Development of information system must b...

Development of information system must be considered as capital investment: The developer of an information system must think about different solutions of a particular problem and

Define memory allocation scheme in ''external'' fragmentation, The memory a...

The memory allocation scheme subject to “external” fragmentation is? Segmentation is the memory allocation scheme subject to “external” fragmentation.

How e-commerce website works, Procedure The only difference between e-...

Procedure The only difference between e-commerce and conventional commerce is that goods in e-commerce are purchased over the internet using a credit card. Also buying and sel

Alpha-beta pruning, Alpha-beta pruning: Thus we can prune via the alph...

Alpha-beta pruning: Thus we can prune via the alpha-beta method, it makes means to perform a depth-first search requiring the minimax principle. Just compared to a breadth fir

What is a good resolution, Q. What is a good resolution? In fact it rel...

Q. What is a good resolution? In fact it relies on your hardware. Hence it's the maximum your hardware can allow you.  But one odd-looking resolution that has become popular is

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