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Boolean Logic and Binary Operations Flashcards

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  1. A NAND gate with inputs A=1 and B=1 outputs:

    Answer: 0

    NAND is the inverse of AND; since 1 AND 1 = 1, NOT(1) = 0.

  2. A NOR gate outputs 1 when:

    Answer: Both inputs are 0

    NOR is the inverse of OR, outputting 1 only when all inputs are 0.

  3. How many rows does a truth table for 3 input variables contain?

    Answer: 8

    A truth table for n variables has 2^n rows; for 3 variables, that is 2^3 = 8.

  4. The Boolean notation A' (A prime) represents which operation?

    Answer: NOT

    The prime symbol (') in Boolean algebra denotes the NOT operation, or complement of A.

  5. An XOR gate outputs 1 when:

    Answer: The inputs are different

    XOR outputs 1 only when the two inputs have different values.

  6. De Morgan's theorem states that NOT(A AND B) equals:

    Answer: NOT A OR NOT B

    De Morgan's first law: NOT(A AND B) = NOT A OR NOT B.

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