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

Write a short note on pointer operators in c, Write a short note on pointer...

Write a short note on pointer operators in c Pointers (that is, pointer values) are generated with the ''address-of'' operator &, which we can also think of as the ''pointer-to

How do you make an append query, Append query can be used if you would like...

Append query can be used if you would like to add new rows of data to an already active table. The process of making an append query follows these steps they are. ? Basic step

What do you mean by file, Q. What do you mean by File? In computer voca...

Q. What do you mean by File? In computer vocabulary, file is a collection of text or data stored on a storage device, such as a Floppy Disk or Hard Disk. If you a fresher to c

What is home banking, Home Banking: E-commerce is used in Home Banking ...

Home Banking: E-commerce is used in Home Banking as single call or single click. Online banking (Internet banking) is a term used for performing transactions, payments etc. ove

Pipe, Your shell should accept and execute the pipe "|"  operator. This wil...

Your shell should accept and execute the pipe "|"  operator. This will look like the following: | The functionality of this operator is to execute command1 and send i

Explain the biometric systems and biometric authentication, Explain the Bio...

Explain the Biometric Systems in brief. Biometrics: It is the science of measuring physical properties of living beings. Biometric Authentication: (a) This authenticati

Write an awk program - unix , Write an AWK program which takes the followin...

Write an AWK program which takes the following input file and processes it. $cat data.txt John Do 111-1111 English 90 Maths 80 Alice Do 222-2222 English 90 Maths 90 Chemistry 93

What is digital versatile disk read only memory, DVD-ROM employs same princ...

DVD-ROM employs same principle as a CD-ROM for reading and writing. However a smaller wavelength laser beam is used. Total capacity of DVD-ROM is 8.5GB. In double-sided DVD-ROM two

In order to concatenate strings only for output purposes, In order to conca...

In order to concatenate strings only for output purposes which command can be used in conjunction with the 'Write' statement. NO-GAP command.

Cross bar-various interconnection networks-fully connected, Cross Bar ...

Cross Bar The crossbar network is the easiest interconnection network. It has a two dimensional grid of switches.  It is a non-blocking network and give connectivity among inp

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