# JEE Main & Advanced Physics Semiconducting Devices The 'AND' Gate

The 'AND' Gate

Category : JEE Main & Advanced

(1) It has two inputs (A and B) and only one output (Y)

(2) Boolean expression is $Y=A\cdot B$ is read as "Y equals A AND B" (3) Realization of AND gate (i) $A=0,\,\,B=0$ The voltage supply through R is forward biasing diodes ${{D}_{1}}$ and ${{D}_{2}}$ (offers low resistance) the voltage V would drop across R The output voltage at Y = the voltage across diode = 0

(ii) A = 0, B = 1 ${{D}_{1}}=$ conducts, ${{D}_{2}}=$Not Conducts the out voltage at Y= The voltage across the diode $({{D}_{1}})=0$

(iii) A = 1, B = 0 ${{D}_{1}}=$Conducts, ${{D}_{2}}=$Not conducts the out voltage at Y= The voltage across the diode $({{D}_{2}})=0$

(iv) A = 1, B = 1 None of the diode conducts the out voltage at Y= Battery voltage =1 (4) Truth table for 'AND' gate

 A B Y = A . B 0 0 0 0 1 0 1 0 0 1 1 1

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