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

What is commitment unit, What is commitment unit? When out-of-order exe...

What is commitment unit? When out-of-order execution is permitted, a special control unit is required to guarantee in-order commitment. This is known as the commitment unit. It

State the advantages of real time processing, Real time (transaction) proce...

Real time (transaction) processing In real time (transaction) processing files are generally updated in real time (for example when booking flights on an airplane); however in

Determine Boolean identities using Boolean algebra, Prove the following ide...

Prove the following identities   a. A ‾B ‾C‾ + A ‾BC ‾ + AB ‾C ‾ + ABC ‾ = C ‾ b. AB + ABC + A ‾ B + AB ‾C = B + AC Ans. a. LHS = A'B'C' + A'BC' + AB'C' + ABC' =

Explain is cgi a script or a program, The distinction is semantic. Traditio...

The distinction is semantic. Traditionally, compiled executables (binaries) are known as programs, and interpreted programs are usually known as scripts. In the context of CGI, the

Artificial life - artificial intelligence, Artificial Life - artificial int...

Artificial Life - artificial intelligence: Give birth to new exits forms.  A swot of Artificial Life will certainly direct on what it means for a complex system to be 'aliv

Computer peripherals, Describe the 8251 A programmable communication interf...

Describe the 8251 A programmable communication interface

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

Pipe, Your shell should accept and execute the pipe "|"  operator. This wil...

Your shell should accept and execute the pipe "|"  operator. This will look like the following: | The functionality of this operator is to execute command1 and send i

Explain implementation of circuits from boolean expression, Explain Impleme...

Explain Implementation of the Circuits From the Boolean Expression? If the operation of the circuit is defined by a Boolean expression, a logic-circuit diagram can he implement

Expand cpi-c, Expand CPI-C. CPI-C= Common Program Interface Communica...

Expand CPI-C. CPI-C= Common Program Interface Communication.

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