Question

Prove the following properties of Boolean algebras. Give a reason for each step. 1.(x.y)+(x′.z)+(x′.y.z′)=y+(x′.z) 2.x.y+x′=y+x′.y′ 3.x.y+y.z.x′=y.z+y.x.z′...

Prove the following properties of Boolean algebras. Give a reason for each step.

1.(x.y)+(x′.z)+(x′.y.z′)=y+(x′.z)

2.x.y+x′=y+x′.y′

3.x.y+y.z.x′=y.z+y.x.z′

Prove that for any Boolean algebra:

a. If x+y=0,then x=0 and y=0.

b. x = y if and only if x . y′ + y .x′ = 0.

Engineering   Electrical-Engineering   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

feel free to ask doubts.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1.Simplify the following functions using ONLY Boolean Algebra Laws and Theorems. For each resulting simplified function,...
1.Simplify the following functions using ONLY Boolean Algebra Laws and Theorems. For each resulting simplified function, sketch the logic circuit using logic gates. (30points) a.SimplifyF= (A+C+D)(B+C+D)(A+B+C) Hint:UseTheorem8 ,theorem 7 and distributive ̅̅b. Show that (Z + X)(Z +Y)(Y + X) = ? ? + ? ? ̅̅c. Show that (X +Y)Z + XYZ = ?.? (15 points for simplification and 15 points for Logisim diagrams) 2. Prove the below equation using Boolean Algebra Theorems and laws Write the name of...
boolean x = true; boolean y = false; boolean z = true; Given the following declarations,...
boolean x = true; boolean y = false; boolean z = true; Given the following declarations, evaluate each boolean expression labelled a-f below as either true or false: (Section 3.7) a. y && z b. y || z c. !y d. (x && y) || (x && z) e. !(x && y) f. (!y) && (x && z)
Prove that the set S = {(x, y, z) ∈ R 3 : x + y...
Prove that the set S = {(x, y, z) ∈ R 3 : x + y + z = b}. is a subspace of R 3 if and only if b = 0.
Use decoders and external gates to implement the following three boolean functions. 1. F1= (y'+x)z 2....
Use decoders and external gates to implement the following three boolean functions. 1. F1= (y'+x)z 2. F2=(y'z'+x'y+yz') 3. F3=(x+y)z
Let x, y ∈Z. Prove that (x+1)y^2 is even if and only if x is odd...
Let x, y ∈Z. Prove that (x+1)y^2 is even if and only if x is odd and y is even.
Using K-Map minimize the function: f(x, y, z) = ∑ (0, 2, 5, 7) + d(3,...
Using K-Map minimize the function: f(x, y, z) = ∑ (0, 2, 5, 7) + d(3, 4, 6) Do not use Boolean algebra. Use K-Maps.
Simply the following functional expressions using Boolean algebra and its identifies. List the identities used at...
Simply the following functional expressions using Boolean algebra and its identifies. List the identities used at each step. a) F(x, y, z) = y(x’ + (x + y)’) b) F(x, y, z) = x’yz + xz c) F(x, y, z) = (x’ + y + z’)’ + xy’z’ + yz + xyz The Essentials Of Computer Organization And Architecture (4th Edition) - Chapter 3 - PROB 14E Note: It seems the Chegg solutions for the textbook are sometimes not correct,...
elementary linear algebra Solve the system. x+y+z=1 x+y-2z=3 2x+y+z=2
elementary linear algebra Solve the system. x+y+z=1 x+y-2z=3 2x+y+z=2
Prove the Inner Product properties. *Please use your vectors as x,y,z*
Prove the Inner Product properties. *Please use your vectors as x,y,z*
For the 3-CNF f = (x’ +y’+z)& (x+y’+z’)&(x+y+z’)& (x’+y+z)&(x’+y+z’) &(x+y+z) where “+” is or, “&” is...
For the 3-CNF f = (x’ +y’+z)& (x+y’+z’)&(x+y+z’)& (x’+y+z)&(x’+y+z’) &(x+y+z) where “+” is or, “&” is and operations, “ ’ ” is negation. a)give 0-1 assignment to variables such that f=1    x= ______ y= ______ z= ____ f=0    x= ______ y= ______ z= ____ - b) Draw the corresponding graph and mark the maximum independent set. (you can draw on paper, scan and insert here)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT