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 a crosstab query wizard, What is a crosstab query wizard? A wiz...

What is a crosstab query wizard? A wizard that helps us to show the data in a two-dimensional tabular format is the crosstab query wizard. You can use this to make queries that

Logical difference among move a to b and compute b = a, What is the  logic...

What is the  logical difference among Move A TO B and COMPUTE B = A ? Ans) In case of Move A TO B it will move whatever the value of a in to b. It mean it will move nume

C program, Write a program to find the area under the curve y = f(x) betwee...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b

An example of the subscriber traffic in erlangs, A subscriber makes three p...

A subscriber makes three phone calls of 3 minutes, 4 minutes and 2 minutes duration in a one hour period. Calculate the subscriber traffic in erlangs, CCS and CM. Subscriber tr

What are types of applets, There are two different parts of applets. Truste...

There are two different parts of applets. Trusted Applets and Untrusted applets. Trusted Applets are applets with predefined security and Untrusted Applets are applets without any

Solve the assignment of finite automata, Solve the assignment of NFA-- Fini...

Solve the assignment of NFA-- Finite Automata and Formal Language Project Description: I have an assignment on Finite Automata and Formal Languages ( Nondeterministic Fini

Explain the graphic display system, Q. Explain the graphic display system? ...

Q. Explain the graphic display system? The function of your graphic display system is to display bit-mapped graphics on your monitor.  The image displayed on your system so com

Arterial puncture - specimen collection, Arterial puncture - Specimen colle...

Arterial puncture - Specimen collection: Arterial puncture:    this requires special skill and usually performed only by physician. The preferred site is radial arter

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