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

Define a register, Define a register. Ans:  Register:   A register...

Define a register. Ans:  Register:   A register contain a group of flip-flops and gates which effect their transition. The flip flops hold the binary information and the g

How to add cell padding, Q. How to Add Cell Padding? As you can see, te...

Q. How to Add Cell Padding? As you can see, text is too close to the edges of the cells. You will add padding to the cells to leave room between text and cells. 1.  Click in

Explain about the viruses in detail, Explain about the viruses in detail ...

Explain about the viruses in detail Note 1: Viruses don't just infect computers, they may also affect mobile phones, MP3 players etc. - any device that can download files fro

Input output in assembly program, Q. Input output in assembly program? ...

Q. Input output in assembly program? Software interrupt is a call to an Interrupt servicing program situated in the operating system. Generally the input-output routine in 8086

Neural networks, Given a collection of DNA sequences (it can be downloaded ...

Given a collection of DNA sequences (it can be downloaded in the assignment directory), where true binding sites as positive examples have been provided. The objective of this assi

Enumerate about the decimal arithmetic unit, Enumerate about the Decimal Ar...

Enumerate about the Decimal Arithmetic Unit The user of the computer input data in decimal numbers and receives output in the decimal form. But a CPU with ALU can perform arith

What is directory, What is Directory?   The device directory or simply ...

What is Directory?   The device directory or simply called as directory records information-such as name, location, size, and type for all files on that certain partition. The

Standard typewriter for information distribution, Standard typewriter : Yo...

Standard typewriter : You must have seen this manually operated machine. Standard typewriters of various makes such as Remington, Fact, Godrej, etc., are available in the market.

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