Basic HTML Version

|  | Table of Contents |  | View Full Version

Page 85 - Toucpad robotics C11
P. 85

    Let’s understand the three primary Boolean operators: AND, OR, and NOT.

                     The Boolean Operators and Their Meaning:
                     To understand these operators, we often use truth tables, which show all possible input combinations and the resulting
                     output.

                     AND Operator
                        Meaning: The AND operator checks if all conditions connected by it are True. The overall result is True ONLY IF all
                     u
                        input conditions are True. If even one input condition is False, the output will be False.
                        Symbol: Often represented by ‘^’ (logical AND), ‘•’ (multiplication dot), or simply by no symbol between variables
                     u
                        (like AB). In programming languages, it is usually written as && (in C, C++, Java) or and (in Python).
                        Truth Table:
                     u
                                                 Input A              Input B            A AND B
                                           False (0)            False (0)           False (0)

                                           False (0)            True (1)            False (0)
                                           True (1)             False (0)           False (0)
                                           True (1)             True (1)            True (1)

                        Analogy: Think of needing both a specific key and a password to open a locked door. If you have only the key, or only
                     u
                        the password, or neither, you cannot open the door. You need both (or all) conditions to be met.
                     OR Operator

                        Meaning: The OR operator checks if at least one of the conditions connected by it is True. The overall result is True IF
                     u
                        any of the input conditions is True. The output is False ONLY IF all input conditions are False.
                        Symbol: Often represented by ‘v’ (logical OR), ‘+’ (addition sign), or ‘||’ or or in programming.
                     u
                        Truth Table:
                     u
                                                 Input A              Input B             A OR B

                                           False (0)            False (0)           False (0)
                                           False (0)            True (1)            True (1)

                                           True (1)             False (0)           True (1)
                                           True (1)             True (1)            True (1)

                        Analogy: Think of a shop that accepts payment by cash OR credit card. If you have cash, you can pay. If you have a
                     u
                        credit card, you can pay. If you have both, you can still pay. You can only NOT pay if you have neither.
                     NOT Operator
                        Meaning: The NOT operator inverts the logical state of a single condition. If the input is True, the output is False. If the
                     u
                        input is False, the output is True.
                        Symbol: Often represented by ‘¬’ (logical NOT), a bar over the variable (A), or ‘!’ or not in programming.
                     u
                        Truth Table:
                     u
                                                            Input A              Not A

                                                     False (0)             True (1)
                                                     True (1)              False (0)

                        Analogy: If the traffic light is NOT green, then it must be red or yellow.
                     u
                                                                                                                           83
                                                                                                              Computing System

| 80 81 82 83 84 85 86 87 88 89 90 |