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 how sap gui handles output screen for the user, Explain how SAP GUI...

Explain how SAP GUI handles output screen for the user. The SAP front-end s/w can either run on the similar computer or on dissimilar computers given for that purpose.  User t

What is the advantages for linux, What is the advantages for Linux? ...

What is the advantages for Linux? Runs on old Hardware Low-Cost Linux is fully customizable in all its components Powerful Linux runs on low-end, cheap hardware

What is branch instruction, What is branch instruction? As a result of ...

What is branch instruction? As a result of branch instruction is a type of instruction which loads a latest values into the program counter.

What is electronic data interchange, What is Electronic Data Interchange? ...

What is Electronic Data Interchange? Electronic Data Interchange (EDI): It is used by organizations for transactions which arise on regular basis to a pre-found format.

Udp, udp connection establishment and termintion

udp connection establishment and termintion

What is semaphores, What is semaphores?  A semaphore 'S' is a synchroni...

What is semaphores?  A semaphore 'S' is a synchronization tool which is an integer value that, apart from initialization, is accessed only by two standard atomic operations; wa

What is the chief advantage of using virtual packets, What is the chief adv...

What is the chief advantage of using virtual packets instead of frames? The router can't transfer a copy of a frame from one kind of network to another since the frame formats

Nanoprogramming - computer architecture, Nanoprogramming:  Second c...

Nanoprogramming:  Second compromise: nanoprogramming  it use a 2-level control storage organization  Top level is a vertical format memory  Output of the top level

Logic-based expert systems - artificial intelligence, Logic-based Expert Sy...

Logic-based Expert Systems - Artificial intelligence: Expert systems are agents which are programmed to make decisions about real world situations. They are put together by uti

Explain problem-oriented and procedure-oriented language, Explain differenc...

Explain difference between Problem-oriented and procedure-oriented language. Problem-oriented and procedure-oriented language: The programming languages which can be utilized

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