BCECE Engineering BCECE Engineering Solved Paper-2005

  • question_answer
    A logic gate having two inputs A and B and output C has the following truth table
    A B C
    1 1 0
    1 0 1
    0 1 1
    0 0 1
      It is :

    A) an OR gate                        

    B) an AND gate

    C) a NOR gate                       

    D) a NAND gate

    Correct Answer: D

    Solution :

    The given truth table follows a NAND gate whose output is 1 only if at least one of its inputs is zero. Its Boolean expression is    \[Y=\overline{A.B}\] So that                  \[\overline{1.1}=\bar{1}=0\]                                 \[\overline{1.0}=\bar{0}=1\]                                 \[\overline{0.1}=\bar{0}=1\] \[\overline{0.0}=\bar{0}=1\] Note: NAND gate is called universal or digital building block because by the repeated use of NAND gates we can perform all the logic functions like OR, AND, etc.


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