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

Explain use of parallel sections construct, Q. Explain use of parallel sect...

Q. Explain use of parallel sections construct? This illustration explains use of parallel sections construct. Three functions, fun1, fun2, and fun3, all can be executed simulta

Instruction issue degree in superscalar processing, Q. Instruction Issue de...

Q. Instruction Issue degree in superscalar processing? The major concept in superscalar processing is how many instructions we are able to issue per cycle. If we are able to is

What features are needed to implement top down parsing, The features are ne...

The features are needed to implement top down parsing are? Ans. Source string marker, Prediction making mechanism and also matching and backtracking mechanism features are need

Find 9''s compliment of bcd number using 4-bit binary adder, Design a circu...

Design a circuit for determining the 9's compliment of a BCD number by using 4-bit binary adder and some external logic gates? Compliment of a BCD number 9's co

State the term- use a define function, State the term- Use a define functio...

State the term- Use a define function This is almost exactly the same approach as #define and -D compiler arg that C programs use. In your  Verilog  code,  use  a  'define  to

Asp.net mvc over asp.net webforms, What is the greatest benefit of using as...

What is the greatest benefit of using asp.net mvc over asp.net webforms? Ans) It is complex to unit test UI with webforms, where views in mvc can be very simply unit tested.

Convert the decimal to hexadecimal equivalent number, Convert the decimal n...

Convert the decimal number 45678 to its hexadecimal equivalent number. Ans: (45678) 10 =(B26E) 16 (45678) 10 =(B26E) 16

Computer graphics, explain area sub division method algorithm

explain area sub division method algorithm

Coa, Whats the use of coa

Whats the use of coa

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