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

For what an append query be used, For what an append query be used? It ...

For what an append query be used? It is simple to append records from one table to another using an append query. There is no requirement for the tables to have the similar num

What are the benefits of web-based spreadsheets, What are the Benefits of W...

What are the Benefits of Web-Based Spreadsheets? The spreadsheets can be accessed from any Internet-connected computer, not just the computer originally formed the spreadsh

Explain sequential sharing, Explain Sequential sharing. Sequential s...

Explain Sequential sharing. Sequential sharing: In this technique of sharing, a file can be shared through only one program at a time, it is file accesses by P1 and P2 are

What is clr, What is CLR?  CLR is .NET equivalent of Java Virtual Mach...

What is CLR?  CLR is .NET equivalent of Java Virtual Machine (JVM). It is the runtime that changes a MSIL code into the host machine language code, which is then implemented a

Advantages and disadvantages of e-commerce, E-commerce is one of the most s...

E-commerce is one of the most significant aspects of the internet. Having emerged recently and growing at a steady state, it becomes essential to look at the advantages and disadva

The height of the left sub tree and height of the right tree, The differenc...

The difference among the height of the left sub tree and height of the right tree, for each node, is almost one.  AVL - tree

Where can i find conference information, Georg Thimm handles a webpage that...

Georg Thimm handles a webpage that lets you search for upcoming or past conferences in a range of AI disciplines.

Computer Architecture, As an advocate of CISC architecture to RISC architec...

As an advocate of CISC architecture to RISC architecture, what are the merits and demerits of CISC to RISC architecture

Set up to use parallel virtual machine, Q. Set up to Use parallel virtual m...

Q. Set up to Use parallel virtual machine? PVM employs two environment variables when starting and running. Each and every PVM user needs to set these two variables to employ P

Define memory utilization factor, Memory utilization factor shall be comput...

Memory utilization factor shall be computed as? Ans. memory in use/total memory connected.

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