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

Shell is the exclusive feature of, Shell is the exclusive feature of? A...

Shell is the exclusive feature of? Ans. Shell is the exclusive feature of UNIX.

Creates a grid-matrix of cells, 1. Write the function makegrid. This functi...

1. Write the function makegrid. This function accepts a width and height and creates a grid/matrix of cells. The width gives the number of columns and the height the number of rows

Define e-cash, What do you understand by E-cash? E-Cash Ecash is ...

What do you understand by E-cash? E-Cash Ecash is a cash which is showed by two models. One is the on-line form of e-cash which permits for the completion of all types of

What is telnet, Telnet It is a terminal emulation program for TCP/IP ne...

Telnet It is a terminal emulation program for TCP/IP networks like as the Internet. The Telnet program runs on your computer and attaches your PC to a server on the network. On

Learning algorithm for multi-layered networks, Learning algorithm for multi...

Learning algorithm for multi-layered networks: Furthermore details we see that  if S is too high, the contribution from w i * x i is reduced. It means that t(E) - o(E) is mu

What is electronic cash, What is electronic cash? E-cash is cash that i...

What is electronic cash? E-cash is cash that is demonstrated by two models. One is on-line type of e-cash that allows for the completion of all kinds of internet transactions.

How many types of memory in computer architecture, Computer have many type ...

Computer have many type of memory like primary memory , Auxiliary memory ,  Cache memory , buffer memory ,virtual memory , The work of all memory heterogeneously primary memory

What is java swing, Swing is a GUI toolkit for Java. It is one kind of the ...

Swing is a GUI toolkit for Java. It is one kind of the Java Foundation Classes (JFC). Swing haves graphical user interface (GUI) widgets such as text boxes, buttons, split-panes, a

Coa, Whats the use of coa

Whats the use of coa

Functioning of registers, Functioning of registers: at any instance of time...

Functioning of registers: at any instance of time global registers and only one window of registers is visible and is addressable as if it were only set of registers. So for progra

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