What is a truth table and how is it used in Boolean logic?

Exploring Boolean Logic Concepts

Quiz
•
Computers
•
12th Grade
•
Medium
Shreya Sharma
Used 1+ times
FREE Resource
15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A truth table is a method for solving equations in algebra.
A truth table is a graphical representation of data flow in circuits.
A truth table is a tool that shows all possible values of logical expressions and their outputs in Boolean logic.
A truth table is a list of all possible programming languages.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Construct a truth table for the expression A AND B.
A OR B truth table:
A AND B truth table: A | B | A AND B T | T | T T | F | F F | T | F F | F | F
A NAND B truth table:
A AND NOT B truth table:
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the basic logical operators in Boolean algebra?
NOR
XOR
AND, OR, NOT
NAND
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Explain the difference between AND, OR, and NOT operators.
NOT combines two conditions together
AND requires at least one condition to be true
AND requires both conditions to be true, OR requires at least one to be true, and NOT negates a condition.
OR requires both conditions to be true
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of the expression NOT (A OR B)?
(NOT A) AND (NOT B)
A AND B
A XOR B
NOT A OR NOT B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
State De Morgan's first law and provide an example.
¬(A ∨ B) = ¬A ∧ ¬B; Example: If A = true and B = false, then ¬(true ∨ false) = false.
¬(A ∧ B) = ¬A ∧ ¬B; Example: If A = true and B = false, then ¬(true ∧ false) = true.
¬(A ∧ B) = ¬A ∨ ¬B; Example: If A = true and B = false, then ¬(true ∧ false) = ¬true = false, and ¬true ∨ ¬false = false ∨ true = true.
¬(A ∨ B) = ¬A ∨ B; Example: If A = true and B = false, then ¬(true ∨ false) = true.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
State De Morgan's second law and provide an example.
¬(A ∨ B) = ¬A ∧ ¬B
¬(A ∧ B) = ¬A ∧ B
¬(A ∧ B) = ¬A ∨ ¬B
¬(A ∨ B) = A ∧ ¬B
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