Boolean expressions, completely confused.?

1. Using the symbolic representations for NOT, AND, and OR gates construct

logic gate circuits for the following Boolean expressions.

a. (~P V ~Q) Λ (P V ~Q)

b. ( (P Λ ~Q) Λ ( ~R V S) ) V T

2. Prepare a complete Truth Table for the following expression. Fill in all

the values using T (True) or F (False).

(~P V ~Q) Λ (P V ~Q)

I also have to write a boolean expression for a logic gate circuit. This was all done in the intro lesson for the scripting lesson of my IT course, i missed the lesson due to illness and haven't been able to get ahold of class notes. Would anyone be able to point me in the direction of a good resource to learn about boolean expressions, don't need in-depth knowledge on the matter, just enough to do the above questions. Thanks very much in advance, any help greatly appreciated.

1 Answer

Relevance
  • 1 decade ago
    Favorite Answer

    The truth table part is easy.

    I'll break it down for you. Once you see what's going on, you can make the table smaller.

    First, as an example, a simple truth table:

    P | Q | P ^ Q |

    =============

    T | T | ... |

    T | F | ... |

    F | T | ... |

    F | F | ... |

    So, fill in the ... with either T or F for P /\ Q

    Now, for the problem at hand, you could present the truth table like this:

    P | Q | ~P | ~Q | ~ P V ~ Q | ~Q | P V ~Q | and finally (~P V ~Q ) /\ (P V ~Q)

    ============================================================

    T T

    T F

    F T

    F F

    You get the idea ...

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