1.

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


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