Author: admin

1.Little Susie is trying to train her new puppy. She is trying to figure out when the puppy should get a dog biscuit as a reward. She has concluded the following:
Give the puppy a biscuit if it sits and wiggles but does not bark.
Give the puppy a biscuit if it barks and wiggles but does not sit.
Give the puppy a biscuit if it sits but does not wiggle or bark.
Give the puppy a biscuit if it sits, wiggles and barks.
Don't give the puppy a treat otherwise.
Use the following:
s: Sit (0 for not sitting; 1 for sitting)
w: Wiggles (0 for not wiggling; 1 for wiggling)
b: Barking (0 for not barking; 1 for barking)
F: Biscuit function (0, don't give the puppy a biscuit; 1, give the puppy a biscuit)
The minimized Boolean function to implement the logic telling Susie when to give her dog a biscuit: F(s,w,b) = ?
a)s'wb' + s'wb+ sw'b' + swb
b)swb' + s'wb+ sw'b' + swb
c)swb' + s'wb+ sw'b + swb
d)swb' + s'w'b+ sw'b' + swb
Question 2
Tyrone Shoelaces has invested a huge amount of money into the stock market and doesn't trust just anyone to give him buying and selling information. Before he will buy a certain stock, he must get input from three sources. His first source is Pain Webster, a famous stock broker. His second source is Meg A. Cash, a self-made millionaire in the stock market, and his third source is Madame LaZora, world famous psychic. After several months of receiving advice from all three, he has come to the following conclusions:
Buy if Pain and Meg both say yes and the psychic says no.
Buy if the psychic says yes.
Don't buy otherwise.
Use the following:
x: Pain (1: saying yes; 0: saying no)
y: Meg (1: saying yes; 0: saying no)
z: LaZora (1: saying yes; 0: saying no)
F: Purchase function (1: buy; 0: do not buy)
The minimized Boolean function to implement the logic telling Tyrone when to buy : F(x,y,z) = ?
Group of answer choices
a)xy
b)xyz’ + z
c)xyz
d)xyz’
3. The truth table for a Boolean expression is shown below. Write the Boolean expression in sum-of-products form: F(x,y,z) = ?
Group of answer choices
a)x'y'z' + x'yz' + xy'z + xyz' + xyz
b)x'y'z' + x'yz' + xy'z + xyz' + xyz'
c)x'y'z' + x'yz' + xy'z + xyz'
d)x'yz' + xy'z + xyz' + xyz
4.
The truth table for
a Boolean expression is shown below. Write the Boolean expression in sum-of-products form: F(x,y,z) = ?
Group of answer choices
a)x'y'z' + x'y'z + x'yz' + xy'z'
b)x'y'z + x'yz' + xy'z' + x'y'z
c)x'y'z' + x'y'z + x'yz' + xy'z' + xy'z
d)x'y'z' + x'y'z + x'yz' + xy'z' + x'y'z'
Question 5
Which of the following Boolean expressions is not logically equivalent to all the rest?
Group of answer choices
a)w + x' + y' + z
b)wx'yz' + wx'y' + wy'z' + wz
c)wx' + wy' + wz
d)w(x' + y' + z)
Question 6
Given the Boolean function: F(x,y,z)=x' y + xyz', derive an algebraic expression for the complement of F. Express in sum-of-products form.
Group of answer choices
a)(x'y + xyz')' = x'y' + xz + x'y' + y' + y'z
b)(x'y + xyz')' = xy' + xz + x'y' + y' + y'z'
c)(x'y + xyz')' = xy' + xz + x'y' + yy' + y'z
d)(x'y + xyz')' = xy' + xz + x'y' + y' + y'z