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JEE Main & Advanced Mathematics Mathematical Logic and Boolean Algebra Question Bank Critical Thinking

  • question_answer
    An AND gate is the Boolean function defined by

    A) \[f({{x}_{1}},\,{{x}_{2}})={{x}_{1}}:\,{{x}_{2}},\,\,\,\,{{x}_{1}},\,{{x}_{2}}\in \{0,\,1\}\]

    B) \[f({{x}_{1}},\,{{x}_{2}})={{x}_{1}}+\,{{x}_{2}},\,\,\,\,{{x}_{1}},\,{{x}_{2}}\in \{0,\,1\}\]

    C) \[f({{x}_{1}},\,{{x}_{2}})={{x}_{1}},\,\,\,\,\,\,\,\,\,\,\,\,\,{{x}_{1}},\,{{x}_{2}}\in \{0,\,1\}\]

    D) \[f({{x}_{1}},\,{{x}_{2}})={{x}_{2}},\,\,\,\,\,\,\,\,\,\,\,\,\,{{x}_{1}},\,{{x}_{2}}\in \{0,\,1\}\]

    Correct Answer: A

    Solution :

    It is definition.


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