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

Explain advantages and disadvantages of a active document, Explain advantag...

Explain advantages and disadvantages of a active document. The advantage of an active document over a dynamic document lies in its capability to update the information contin

Classification according to part of instruction and data, Classification ac...

Classification according to part of instruction and data: According to the parts of instruction and data, following parts are identified under this classification: Scal

How many bits are required for a ladder d/a converter, How many bits are re...

How many bits are required at the input of a ladder D/A converter, if it is required to give a resolution of 5mV and if the full scale output is +5V. Find the %age resolution.

What is master slave kernel, Q. What is Master slave kernel? Master sl...

Q. What is Master slave kernel? Master slave kernel: In this model just one of processors is assigned as Master.  The master is in charge for subsequent activities:  i)

Engineering applications, Engineering Applications A few of the enginee...

Engineering Applications A few of the engineering applications are: Airflow circulation over aircraft machinery, Simulations of simulated ecosystems. Airflow c

Explain about iframe, Q. Explain about IFRAME? is an HTML 4.0 addition...

Q. Explain about IFRAME? is an HTML 4.0 addition to frames toolbox. Presently only MSIE supports . Unlike frames created employing and

How does the xml serializer work, How does the Xml Serializer work?  What A...

How does the Xml Serializer work?  What ACL permissions does a process using it require?   Xml Serializer needs write permission to the system's TEMP directory.

The job allocation register, Signify this problem by means of: i.    An Ent...

Signify this problem by means of: i.    An Entity Relationship model; ii.    Relational tables. Pete's Programmers is a firm which supplies part time staff on contract to organisat

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