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

Coding advantages of casex or casez, Coding advantages of casex or casez ...

Coding advantages of casex or casez By using casex or casez has the following coding advantages: -  It reduces number of lines, especially if the number of bits had been m

What is the purpose of reserved word using in c#, A keyword that states the...

A keyword that states the types in a particular namespace can be referred to without requiring their full qualified type names. 'using' reserved word always come with namespace

Explain naming convention globals, Explanation The values of global vari...

Explanation The values of global variables can be used and changed all over the project within all scripts and libraries. However it is highly recommended to remain the number o

Sem 4, Which are the subject of sem 4?

Which are the subject of sem 4?

Instruction set for ia - 64 architecture, Q. Instruction set for IA - 64 ar...

Q. Instruction set for IA - 64 architecture? Instruction set: Architecture gives instructions for multimedia operations as well as floating point operations. Itanium supports

Program that will blink as led, Take the last two digits of your UTCID. Thi...

Take the last two digits of your UTCID. This is your duty cycle in percent. If your duty cycle is less than 10%, add 30 to your number. Create an assembly program that runs on t

Computer graphics, what is boundary filling explain with example

what is boundary filling explain with example

Object oriented systems analysis and design, Analysis and design form the b...

Analysis and design form the basis on any significant software artifact. Analysis is critical in terms of making sure that the final artifact actually meets user requirements (ie b

What does not use by FTP, FTP does not use ? FTP doesn't use User Datag...

FTP does not use ? FTP doesn't use User Datagram Protocol.

Function of osi transport layer, Q. Function of OSI Transport Layer? - ...

Q. Function of OSI Transport Layer? - It takes the information to be sent as well as breaks it into individual packets that are sent and reassembled into a complete message by

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