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

Utilization count - processor, The Utilization Count shows the status of ea...

The Utilization Count shows the status of each processor in a specific mode i.e.  Overhead mode, busy mode, and idle mode with respect to the progress in time as shown in Figure.

NETWORK ADMIN, Ask qDiscuss the risks of having a single root user and how ...

Ask qDiscuss the risks of having a single root user and how more limited management abilities can be given to others users on Linux/UNIX systems.uestion #Minimum 100 words accepted

Illustrate working of t flip-flop, Q. Illustrate working of T Flip-Flop? ...

Q. Illustrate working of T Flip-Flop? T (Toggle) flip-flop is attained from JK flip-flop by combining inputs J and K together. The implementation of T flip-flop is displayed in

Learning weights in perceptrons, Learning Weights in Perceptrons: Furt...

Learning Weights in Perceptrons: Furthermore details are we will look at the learning method for weights in multi-layer networks next lecture. Thus the following description o

Explain about parity bit, Q. Explain about Parity bit? Parity bit is an...

Q. Explain about Parity bit? Parity bit is an error detection bit added to binary data such that it creates total number of 1's in the data either odd or even. For illustration

Instruction level-parallelism based on granularity size, Instruction level ...

Instruction level This is the initial level and the degree of parallelism is uppermost at this level. The fine grain size is used at statement or instruction level as only few

What is linear addressing mode, What is Linear Addressing Mode. Ans. L...

What is Linear Addressing Mode. Ans. Linear Addressing: Addressing is the procedure of selecting one of the cells in a memory to be written in or to be read from. So as to fa

What is a parsing, what is parsin? Source programmed statements are ob...

what is parsin? Source programmed statements are observed as tokens, recognizing, building block of language the task of scanning the source statement and classifying the diff

Help, Write a class encapsulating the concept of a circle? I have been work...

Write a class encapsulating the concept of a circle? I have been working on this program for awhile and this is all I have so far... What are my flaws in the program besides not ha

How many address bits are needed to show a 32 K memory, How many address bi...

How many address bits are required to represent a 32 K memory ? Ans. 32K = 25 x 210 = 215, Hence 15 address bits are needed; Only 16 bits can address this.

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