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

How optimization is achieved in dns, How optimization is achieved in DNS? ...

How optimization is achieved in DNS? Two primary optimizations used in DNS and they are: replication and caching. All root servers is replicated; various copies of the server

Give brief summary of common aspects found in spreadsheets, Give brief summ...

Give brief summary of common aspects found in spreadsheets -  It's made up of columns and rows; every row is identified by a number and every column is identified with a letter

Difference between overlay graph and correlate graph, Overlay Graph: It ove...

Overlay Graph: It overlay the content of two graphs that shares an ordinary x-axis. Left Y-axis on the merged graph show's the present graph's value & Right Y-axis illustrate the v

What are two verification points for use with web sites, 1. Use the Web Sit...

1. Use the Web Site Scan verification point to check the content of your Web site with each revision and make sure that changes have not resulted in defects. 2. Use the Web Sit

Explain the wap stack in brief, Discuss the WAP stack in brief. The pro...

Discuss the WAP stack in brief. The protocol stacks part implemented by WAP Stack for the WAP development and research platform. The protocol stack will be exploited into many

Is the process before and after the swap are the same, Is the Process befor...

Is the Process before and after the swap are the same? Give reason. Process before swapping is residing in the primary memory in its original form. The regions (text, data and

Explain the difference between a subroutine and macro, Explain the differen...

Explain the difference between a subroutine & macro. It is inefficient to have to write code for standard routines.  For instance reading a character form the keyboard or savin

Why cmos circuits are extensively used for On-chip computers, CMOS circuits...

CMOS circuits are extensively used for ON-chip computers mainly because of their extremely ? Ans. Since CMOS circuits have large packing density, so these are extensively use

Sites are useful to the target audience members, Normal 0 false...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4 Select a range of a

Implement or, Q. Write a program to implement OR, NOR, AND and NAND gates ...

Q. Write a program to implement OR, NOR, AND and NAND gates using and without using Bit wise operator. The menu should be as follows: I. Using Bit Wise operator II. Withou

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