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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