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

Database, er table for hospital management system

er table for hospital management system

Branding choices, Develop a web traffic plan - suppose that there is no/min...

Develop a web traffic plan - suppose that there is no/minimal advertising budget so you will require to look at branding choices & site design, word-of-mouth and publicity as your

Numbers square, Your professor wants you to fill a two-dimensional N by N m...

Your professor wants you to fill a two-dimensional N by N matrix with some numbers by following a specific pattern. According to his explanation as in the figure below, you have to

Software aspects - computer technology , Software Aspects: Software is...

Software Aspects: Software is a generic term covering the concepts, procedures and instructions which enable computer systems to do useful things. Usually, software is conceiv

What is ipc, What is IPC? What are the various schemes available? The t...

What is IPC? What are the various schemes available? The term IPC (Inter-Process Communication) explains various ways by which different process running on some operating syste

Logic calculations are done in which type of registers, Accumulator is the ...

Accumulator is the register in which Arithmetic and Logic calculations are completed.

What is a heap, What is a heap? The heap is an area of memory that is ...

What is a heap? The heap is an area of memory that is dynamically allocated. As a stack, this may grow and shrink throughout runtime. Not like a stack, a heap is not LIFO show

Adding layers to the timeline, ADDING LAYERS TO THE TIMELINE AND GIVING MOT...

ADDING LAYERS TO THE TIMELINE AND GIVING MOTION TO THE LAYER Step 1:  Choose Layer from Common toolbar after that draw a layer. Step 2:  Write the text inside Layer. Step

Discussion., Functionality first and then Security?

Functionality first and then Security?

Explain the term granularity, Granularity In 'Parallel computing', Gran...

Granularity In 'Parallel computing', Granularity can be defined as a qualitative assess of the ratio of computation to communication. 1) Coarse Granularity - relatively hug

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