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

Define encapsulation- object oriented technology, Define Encapsulation- obj...

Define Encapsulation- object-oriented technology Encapsulation also called as information hiding, is the characteristic of separating the external aspects of an object, from t

Define a macro definition consists of, A macro definition consists of ? ...

A macro definition consists of ? Ans. A macro Definition have: A macro prototype statement, one or various model statements and also Macro pre-processor statements

Explain all the categories of common control switching, Explain all the cat...

Explain all the categories that are served by Common Control switching. Common Control Switching System: It is a functional block diagram of a common control switching system i

How many precision resistors requires a weighted resistor, A weighted resis...

A weighted resistor digital to analog converter using N bits requires a total of ? Ans. Digital to analog converter, a weighted resistor using N bits needs a total of N precisi

What is mqseries channel, Channel means logical communication link. There a...

Channel means logical communication link. There are two parts of channels a) Message channel, b) MQI channel   1) Mesage channel use for communication among QMgr to Q

What is the difference between the c#.net and vb.net, What is the differenc...

What is the difference between the C#.NET and VB.NET? VB.NET - It didn't have the XML Documentation. - It didn't have the Operator Overloading. - It didn't have the P

Create a web page from which customers can order equipment, Q. Create a Web...

Q. Create a Web page from which customers can order equipment? Suppose your boss wants you to create a Web page from which customers can order computer equipment. You need to c

What are the modes in which any update tasks work, What are the modes in wh...

What are the modes in which any update tasks work? Synchronous and Asynchronous.

Some of the advantages of b2b, Some of the advantages of B2B are: i) En...

Some of the advantages of B2B are: i) Enhanced customer satisfaction Code ii) Enhanced inventory system iii) Simple and cost effective marketing iv) Coordination among

Cluster computing, The concept of clustering is definite as the use of mult...

The concept of clustering is definite as the use of multiple computers, typically PCs or multiple storage devices, UNIX workstations, and their interconnections, to form what appea

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