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

Determine about the term- voice synthesis, Voice synthesis Loud speakers ...

Voice synthesis Loud speakers and special software are used to output information in the form of sound to help blind and partially-sighted people; it also helps people who have d

State the scope of security policy, State the scope of security policy ...

State the scope of security policy The scope of security policy depends on aspects such as the size of the Intranet site, type of information hosted on it, and the number of u

Find out the excess code of decimal number, The excess 3 code of decimal nu...

The excess 3 code of decimal number 26 is ? Ans. (26) 10 in BCD is (00100110) BCD Add 011 to all BCD 01011001 for excess - 3

How to update bios chip, There are two methods to update your BIOS chip: ...

There are two methods to update your BIOS chip: 1. Flash it (software method) 2. Program it with an EEPROM programmer. This is a hardware method. This is how we at BIOSMAN pr

How is transaction processing system affected, How is Transaction Processin...

How is Transaction Processing System affect performance of e-commerce sites? Transaction Processing System influences performance of e-commerce sites: Transaction-Processing

Power and energy, Ask questiPower and EnergyQuestion 4Consider a processor ...

Ask questiPower and EnergyQuestion 4Consider a processor that runs at 2.5 GHz and 1 Volt. When running a given CPU-bound program,the processor consumes 100 W, of which 20 W is leak

Define sr flip flop - sr latch with nor gate, Define SR Flip Flop - SR latc...

Define SR Flip Flop - SR latch with NOR Gate? The SR Flip flop neither is a circuit with two cross-coupled NOR gates or two cross-coupled NAND gates. SR

Logic programs, Logic Programs: A subset of first order logic is "Logi...

Logic Programs: A subset of first order logic is "Logic programs". However logic program having a set of Horn clauses that are implication conjectures when there is a conjunct

What is the linkage section, The linkage section is part of a known as prog...

The linkage section is part of a known as program that 'links' or maps to data items in the calling program are working storage. It is the part of the called program where these sh

Breadth first search, Breadth First Search: Given a set of operators o...

Breadth First Search: Given a set of operators o1, ..., on in a breadth first search, every time a new state is reached, an action for each operator on  s  is added to the bot

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