24 Questions
What is the purpose of logical operators in relational expressions?
To create relational expressions from other relational expressions
What is the meaning of the logical operator &&?
Both expressions are true
What is the effect of the logical operator ! (NOT) on a relational expression?
It reverses the value of the expression
What is the order of precedence of operators in relational expressions?
Arithmetic operators, relational operators, logical operators
What is the result of the expression (x > y) && (y > z) given x = 12, y = 5, and z = -4?
True or 1
What is the purpose of using logical operators to check numeric ranges?
To test if a value is within a range
What is the result of the expression (x > 6) && (7 > 8) given x = 12?
False or 0
What is the result of the expression 8 < 2 + 7 || 5 == 6?
True or 1
Which logical operator is used to reverse the value of an expression?
!
The expression (x > 6) || (7 > 8) is true if either x is greater than 6 or 7 is greater than 8.
True
What is the purpose of using logical operators in relational expressions?
To create new relational expressions from other relational expressions.
The logical operator ______________ is used to create a relational expression that is true if both expressions are true.
&&
What is the order of precedence of operators in relational expressions?
arithmetic operators, relational operators, logical operators
The expression (x > y) && (y > z) is false if x is less than or equal to y.
True
Match the following logical operators with their meanings:
&& = AND || = OR ! = NOT
What is an example of using logical operators to check numeric ranges?
Checking if a grade is within a certain range, such as if (grade >= 0 && grade <= 100).
What is the result of the expression (x > y) && (y > z) given x = 12, y = 5, and z = -4?
True
The logical operator && has higher precedence than the arithmetic operator +.
False
What is the effect of the logical operator ! on a relational expression?
Reverses the value of the expression, making true become false and false become true
The expression 8 < 2 + 7 || 5 == 6 is __________ because of the order of precedence of operators.
true
Match the following logical operators with their meanings:
&& = AND || = OR ! = NOT
What is the result of the expression (x > 6) && (7 > 8) given x = 12?
False
The expression (x > 6) || (7 > 8) is true if x is greater than 6.
True
What is an example of using logical operators to check numeric ranges?
if (grade >= 0 && grade <= 100) ...
Study Notes
Logical Operators
- Used to create relational expressions from other relational expressions
Operator Meanings
- && (AND) : new relational expression is true if both expressions are true
- || (OR) : new relational expression is true if either expression is true
- ! (NOT) : reverses the value of an expression; true becomes false, false becomes true
Logical Operator Examples
-
(x > y) && (y > z): true or 1 (because x > y and y > z) -
(x > y) && (z > y): false or 0 (because x > y but z is not greater than y) -
(x > 6) && (7 > 8): is true because AND is evaluated before OR
Operator Precedence
- Highest : arithmetic operators
- Middle : relational operators
- Lowest : logical operators
Example of Precedence
-
8 < 2 + 7 || 5 == 6: is true because of operator precedence
Checking Numeric Ranges
- Logical operators are used to test if a value is within a range
- Example:
if (grade >= 0 && grade <= 100): checks if grade is within the range of 0 to 100
Logical Operators
- Used to create relational expressions from other relational expressions
Operator Meanings
- && (AND) : new relational expression is true if both expressions are true
- || (OR) : new relational expression is true if either expression is true
- ! (NOT) : reverses the value of an expression; true becomes false, false becomes true
Logical Operator Examples
-
(x > y) && (y > z): true or 1 (because x > y and y > z) -
(x > y) && (z > y): false or 0 (because x > y but z is not greater than y) -
(x > 6) && (7 > 8): is true because AND is evaluated before OR
Operator Precedence
- Highest : arithmetic operators
- Middle : relational operators
- Lowest : logical operators
Example of Precedence
-
8 < 2 + 7 || 5 == 6: is true because of operator precedence
Checking Numeric Ranges
- Logical operators are used to test if a value is within a range
- Example:
if (grade >= 0 && grade <= 100): checks if grade is within the range of 0 to 100
Logical Operators
- Used to create relational expressions from other relational expressions
Operator Meanings
- && (AND) : new relational expression is true if both expressions are true
- || (OR) : new relational expression is true if either expression is true
- ! (NOT) : reverses the value of an expression; true becomes false, false becomes true
Logical Operator Examples
-
(x > y) && (y > z): true or 1 (because x > y and y > z) -
(x > y) && (z > y): false or 0 (because x > y but z is not greater than y) -
(x > 6) && (7 > 8): is true because AND is evaluated before OR
Operator Precedence
- Highest : arithmetic operators
- Middle : relational operators
- Lowest : logical operators
Example of Precedence
-
8 < 2 + 7 || 5 == 6: is true because of operator precedence
Checking Numeric Ranges
- Logical operators are used to test if a value is within a range
- Example:
if (grade >= 0 && grade <= 100): checks if grade is within the range of 0 to 100
Learn about logical operators in programming, including AND, OR, and NOT, and how to use them to create relational expressions.
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