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

Analog to Digital convertor, The A/D converter whose conversion time is ind...

The A/D converter whose conversion time is independent of the number of bits is ? Ans. Parallel conversion is the A/D converter whose conversion time is independent of the Numbe

How do you make an image clickable in HTML, How do you make an image clicka...

How do you make an image clickable in HTML? Give an example. To create an image or text clickable hyperlinks are used, that use the and tags. Such tag has different paramet

State about the firewalls - intranet, Firewalls While getting one fire...

Firewalls While getting one firewall for the company's Intranet it should be well known that firewalls come in both hardware and software forms, and that even though all firew

Grid security, i just want the experiment to be taken , on Grid Security......

i just want the experiment to be taken , on Grid Security........

Explain loop-invariant code motion, Explain briefly Loop-invariant code ...

Explain briefly Loop-invariant code motion of the commonly used code optimization techniques. Loop-invariant code motion If a quantity is calculated inside a loop duri

Convert a JK flipflop to T type flipflop, With the help of a suitable diagr...

With the help of a suitable diagram, explain how do you convert a JK flipflop to T type flipflop. Ans. As here flip flop is JK flip flop and it is required to convert JK in T.

Draw back of assigning one bit position to control signals, What is the dra...

What is the draw back of assigning one bit position to each control signals? Assigning individual bits to every control signal results in long microinstructions due to the numb

the entire pcd division, Will executing  SAP R/3 across the entire PCD div...

Will executing  SAP R/3 across the entire PCD division give the division with a competitive benefit?  Clarify  your answer carefully.

Details of load sharing facility resource management, Primary objectives/de...

Primary objectives/details of Load Sharing Facility Resource Management Software (LSFRMS) are better resource utilisation by routing task to most suitable system as well a better u

Characteristics of large register file, Characteristics of large-register-f...

Characteristics of large-register-file and cache organizations Large Register File Cache Hold local variables for almost all functio

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