The question asks to identify the logical operator that evaluates to TRUE only when both conditions are TRUE. The options are OR, NOT, AND, and XOR.

Discrete MathematicsLogicBoolean AlgebraLogical OperatorsAND operator
2025/4/4

1. Problem Description

The question asks to identify the logical operator that evaluates to TRUE only when both conditions are TRUE. The options are OR, NOT, AND, and XOR.

2. Solution Steps

Let's analyze each logical operator:
- OR: The OR operator returns TRUE if at least one of the conditions is TRUE. It returns TRUE if both are true.
- NOT: The NOT operator returns the inverse of the condition. It returns TRUE if the condition is FALSE, and FALSE if the condition is TRUE. It operates on a single condition, not two.
- AND: The AND operator returns TRUE only when both conditions are TRUE. Otherwise, it returns FALSE.
- XOR: The XOR (exclusive OR) operator returns TRUE if the conditions are different (one is TRUE and the other is FALSE). It returns FALSE if both conditions are TRUE or both are FALSE.
Based on these definitions, the AND operator is the correct answer.

3. Final Answer

AND

Related problems in "Discrete Mathematics"

The problem has two parts. Part (a) presents criteria for selecting school prefects based on student...

AlgorithmsPseudo-codeFlowchartsLogicConditional Statements
2025/6/29

The image contains multiple questions related to ICT. I will answer questions (iii), (iv), (v) and (...

Number Base ConversionBoolean AlgebraLogic Circuits
2025/6/29

We have four questions to answer based on the provided image: * Question 37: Find the index of the...

ArraysAlgorithmsExponentsPascal ProgrammingBitwise OperationsCombinatorics
2025/6/29

We are given a flowchart and two questions related to it. Question 35 asks for the output of the flo...

AlgorithmsFlowchartsIterationLoopsSequences
2025/6/29

We need to answer multiple-choice questions related to computer architecture, networking, number sys...

Number SystemsBinaryHexadecimalBCDLogic GatesASCIIBoolean Algebra
2025/6/29

The image presents a number sequence: 1, 5, 14, 30, 55, ... and asks to find the next number in the ...

Number SequencesPattern RecognitionSeries
2025/6/26

In a class of 23 students, 7 study Math, 8 study English, and 5 study Science. It is implied that ev...

Set TheoryPrinciple of Inclusion-ExclusionVenn DiagramsCombinatorics
2025/6/22

The image contains handwritten text: "7w Sm" and "4 member commit". It seems the problem wants us to...

CombinatoricsCombinationsFactorials
2025/6/18

We are asked to find the number of 3-digit integers greater than 430 that can be formed using the di...

CountingCombinatoricsPermutations3-digit integersDigit restrictions
2025/6/18

A company manager wants to form a committee. There are 12 staff members. He wants to choose the memb...

CombinatoricsSubsetsCommittee FormationCounting
2025/6/17