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 memory write operation, Q. Explain Memory Write operation? Memo...

Q. Explain Memory Write operation? Memory write operation transfers content of a data register to a memory word M selected by the address. Presume that data of register R1 is t

What is a javabean, JavaBeans are reusable software components written in t...

JavaBeans are reusable software components written in the Java programming language, designed to be influenced visually by a software development environment, like JBuilder or Visu

Determine the order in which optimized c-scan would service, Consider the s...

Consider the situation in which the disk read/write head is currently located at track 45 (of tracks 0-255) and moving in the positive direction. Assume that the following track re

What is the role of mar and mdr, What is the role of MAR and MDR? The ...

What is the role of MAR and MDR? The MAR (memory address register) is used to hold the address of the location to or from which data are to be transferred and the MDR(memory d

The constructed datatype of c, The constructed datatype of C is known as ...

The constructed datatype of C is known as Structure is a constructed datatype of C.

Maximum size of a database, What is the maximum size of a database that can...

What is the maximum size of a database that can be opened in Microsoft Access? Ans) 1 Gigabyte

Convention used to represent micro-operations, Q. Convention used to repres...

Q. Convention used to represent micro-operations? The convention used to represent micro-operations is: 1.  Computer register names are designated by capital letters (someti

What do you mean by parallel virtual machine, Q.What do you mean by Paralle...

Q.What do you mean by Parallel virtual machine? PVM is essentially a simulation of a computer machine running parallel programs. It is a software package which allows a heterog

Neural network programming using matlab, I need the matlab basics for crea...

I need the matlab basics for creating and configuring a neural network with 2 hidden layers

Symmetric and asymmetric encryption algorithms, Compare and contrast symmet...

Compare and contrast symmetric & asymmetric encryption algorithms. Your response should contain a brief overview of the cryptographic basis for every type of algorithm, and a compa

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