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Questions and Answers
What type of evaluation is used for logical and (&&) and logical or (||) expressions?
What type of evaluation is used for logical and (&&) and logical or (||) expressions?
- Parallel evaluation
- Concurrent evaluation
- Short circuit evaluation (correct)
- Sequential evaluation
Which term is used for a Boolean expression with two or more conditions joined by a logical and (&&) or a logical or (||)?
Which term is used for a Boolean expression with two or more conditions joined by a logical and (&&) or a logical or (||)?
- Joint Boolean expressions
- Compound Boolean expressions (correct)
- Grouped Boolean expressions
- Complex Boolean expressions
What are DeMorgan’s Laws related to?
What are DeMorgan’s Laws related to?
- Combining multiple conditional statements
- Distributing negation on complex conditionals (correct)
- Order of evaluation in logical expressions
- Simplifying compound Boolean expressions
In compound boolean expressions, what does the logical and (&&) do?
In compound boolean expressions, what does the logical and (&&) do?
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What does negation do to a statement?
What does negation do to a statement?
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Study Notes
Evaluation of Logical Expressions
- Short-circuit evaluation is used for logical AND (&&) and logical OR (||) expressions.
- This means that evaluation stops as soon as the result is determined; for AND, if any operand is false, the entire expression is false. For OR, if any operand is true, the entire expression is true.
Boolean Expressions with Conditions
- A Boolean expression that combines two or more conditions with logical AND (&&) or logical OR (||) is referred to as a compound Boolean expression.
DeMorgan’s Laws
- DeMorgan's Laws describe the relationship between conjunctions (AND) and disjunctions (OR) in Boolean logic.
- The laws state that:
- The negation of a conjunction is equivalent to the disjunction of the negations: ¬(A && B) is equivalent to (¬A || ¬B).
- The negation of a disjunction is equivalent to the conjunction of the negations: ¬(A || B) is equivalent to (¬A && ¬B).
Function of Logical AND (&&)
- In compound Boolean expressions, the logical AND (&&) operator requires all conditions to be true for the overall expression to evaluate to true.
- If any single condition is false, the entire expression evaluates to false.
Role of Negation
- Negation flips the truth value of a statement.
- If the original statement is true, negation results in false; if the original statement is false, negation results in true.
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