WorksheetsDM-MidTerm
Total questions: 32
Worksheet time: 32mins
Which of the following statements is the converse of
"If the moon is full, then the vampires are prowling.”
If the vampires are prowling, then the moon is full.
If the vampires are not prowling, then the moon is not full.
If the moon is not full, then the vampires are prowling.
Which of the following statements is the contrapositive of
"If you understand logic, you will be a good consumer."?
If you are a good consumer, then you understand logic.
If you do not understand logic, then you will not be a good consumer.
If you are not a good consumer, then you do not understand logic.
If you understand logic, you will not be a good consumer.
What is Logically Equivalent to p → ¬q ?
¬p → q
q → ¬p
¬p v q
q v ¬p
Which of the following statements is logically equivalent to
"If you live in a mansion, then you have a big heating bill."?
If you have a big heating bill, then you live in a mansion.
If you do not live in a mansion, then you do not have a big heating bill.
If you do not have a big heating bill, then you do not live in a mansion.
If you live in a mansion, then you do not have a big heating bill.
Draw a valid conclusion and state the Law used:
¬j → ¬m
m, Disjunctive Inference
¬m, Disjunctive Inference
m, Law of Detachment
¬m, Law of Detachment
Which of the statements cannot possibly be true?
p: n is an odd integer
q: n is an even integer
¬p ^ q
p ^ ¬q
¬p ^ ¬q
¬(p ^ q)
What is the term that expressing disagreement.
Use small letter.
(a)
It is a statement that is either true or false, but not both.
Use small letter
(a)
What is the truth value for the statement 2x-1 = 7 where P(x) is P(4) ?
Write T if true otherwise F.
(a)
In a disjunction, even if one of the statements is false, the whole disjunction is still ___ ?
True
False
p: China is in Africa
q: Lee is in Asia
Write the proposition symbolically:
China is in Africa and Lee is not in Asia
No spacing, use small letter and appropriate symbol.
(a)
"If I have a Siberian Husky, then I have a dog."
Identify the converse.
If I have a dog, then I have a Siberian Husky.
If I do not have a dog, then I do not have a Siberian Husky.
If I do not have a Siberian Husky, then I do not have a dog.
If I do not have a Siberian Husky, then I have a dog.
What is the hypothesis of the following statement:
"If Johnny is late to school, then his mom will have to drive him."
Johnny is late to school
His mom will have to drive him
If Johnny is late to school
Then his mom will have to drive him
p:Food is in the oven
q: It will be cooked
Write the proposition symbolically:
If the food is not cooked, then it is not in the oven.
No spacing, use small letter and appropriate symbol.
(a)
p: Two angles are supplementary if they are a linear pair.
Determine the truth value, write T if true otherwise F.
(a)
"13 is an odd number or dogs meow."
Determine the truth value, write T if true otherwise F.
(a)
Evaluate the given expression.
Write your final answer based on the format of the bit string.
(0 1010 ⨁ 1 1011) ⊙ 0 1000
(a)
Evaluate the given expression.
Write your final answer based on the format of the bit string.
( 1 0011 ⊙ 1 1100) V (1 1110 ⨁ 1 0011)
(a)
What is Logically Equivalent to L → ¬K
K → ¬L
¬L → K
K ∨ ¬L
¬L ∨ K
What is the branch of mathematics that deals exclusively with true and false values?
Use small letter, use space if necessary.
(a)
In 1847, who formalized a "Mathematical Analysis of Logic”?
Use capital letter and space if neccessary.
(a)
Which logic gate is commonly represented by a "triangle without a dot or small circle"?
Use small letter, one word only.
(a)
Derive the Boolean expression of output M.
Use capital letter, symbol, parenthesis and apostrophe if necessary.
Include the output variable.
(a)
Derive the Boolean expression of output J.
Use capital letter, symbol, parenthesis and apostrophe if necessary.
Include the output variable.
(a)
Derive the logic diagram.
X = D' (A' + B) (A + B' + C')
Simplify:
(A + C)(AD + AD) + AC + C
Use capital letter and symbol if necessary. No spacing
(a)
Simplify:
(AB)' (A'+B) (A'+A)
Use capital letter, symbol if necessary. No spacing.
(a)
An IC represents 2 input AND gate.
(a)
Derive the Boolean expression of output W using Kmap. Include the output variable.
Do not simplify the answer. Use capital letter, symbol if necessary, no spacing.
(a)
Derive the Boolean expression of output X using Kmap. Include the output variable.
Do not simplify the answer. Use capital letter, symbol if necessary, no spacing.
(a)
Create a truth table that will accept 2-bits as input (A, B) and will generate the square of the input as output.
bitwise operation XOR.
Write the symbol
(a)
